Properties

Label 403.2.k.e.66.4
Level 403
Weight 2
Character 403.66
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.k (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(17\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 66.4
Character \(\chi\) \(=\) 403.66
Dual form 403.2.k.e.287.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.537701 - 1.65487i) q^{2} +(0.587091 - 1.80688i) q^{3} +(-0.831453 + 0.604086i) q^{4} -2.54418 q^{5} -3.30584 q^{6} +(-1.97022 + 1.43145i) q^{7} +(-1.36868 - 0.994405i) q^{8} +(-0.493085 - 0.358248i) q^{9} +O(q^{10})\) \(q+(-0.537701 - 1.65487i) q^{2} +(0.587091 - 1.80688i) q^{3} +(-0.831453 + 0.604086i) q^{4} -2.54418 q^{5} -3.30584 q^{6} +(-1.97022 + 1.43145i) q^{7} +(-1.36868 - 0.994405i) q^{8} +(-0.493085 - 0.358248i) q^{9} +(1.36801 + 4.21030i) q^{10} +(-1.80237 + 1.30950i) q^{11} +(0.603372 + 1.85699i) q^{12} +(0.309017 - 0.951057i) q^{13} +(3.42826 + 2.49077i) q^{14} +(-1.49366 + 4.59702i) q^{15} +(-1.54485 + 4.75455i) q^{16} +(1.72846 + 1.25580i) q^{17} +(-0.327722 + 1.00862i) q^{18} +(-0.879960 - 2.70824i) q^{19} +(2.11536 - 1.53690i) q^{20} +(1.42976 + 4.40034i) q^{21} +(3.13619 + 2.27858i) q^{22} +(-5.08914 - 3.69748i) q^{23} +(-2.60031 + 1.88924i) q^{24} +1.47285 q^{25} -1.74004 q^{26} +(3.67427 - 2.66952i) q^{27} +(0.773426 - 2.38036i) q^{28} +(-1.41478 - 4.35426i) q^{29} +8.41064 q^{30} +(-5.52266 + 0.707300i) q^{31} +5.31528 q^{32} +(1.30795 + 4.02546i) q^{33} +(1.14880 - 3.53564i) q^{34} +(5.01259 - 3.64186i) q^{35} +0.626389 q^{36} +0.890456 q^{37} +(-4.00864 + 2.91245i) q^{38} +(-1.53702 - 1.11671i) q^{39} +(3.48217 + 2.52995i) q^{40} +(-2.80523 - 8.63361i) q^{41} +(6.51322 - 4.73213i) q^{42} +(2.52927 + 7.78429i) q^{43} +(0.707536 - 2.17757i) q^{44} +(1.25450 + 0.911446i) q^{45} +(-3.38243 + 10.4100i) q^{46} +(2.71949 - 8.36973i) q^{47} +(7.68393 + 5.58270i) q^{48} +(-0.330400 + 1.01687i) q^{49} +(-0.791953 - 2.43738i) q^{50} +(3.28385 - 2.38586i) q^{51} +(0.317587 + 0.977431i) q^{52} +(-5.45635 - 3.96427i) q^{53} +(-6.39338 - 4.64506i) q^{54} +(4.58555 - 3.33160i) q^{55} +4.12004 q^{56} -5.41007 q^{57} +(-6.44502 + 4.68258i) q^{58} +(-4.51278 + 13.8889i) q^{59} +(-1.53509 - 4.72451i) q^{60} +4.16615 q^{61} +(4.14003 + 8.75899i) q^{62} +1.48430 q^{63} +(0.231659 + 0.712974i) q^{64} +(-0.786195 + 2.41966i) q^{65} +(5.95834 - 4.32899i) q^{66} +2.93094 q^{67} -2.19575 q^{68} +(-9.66869 + 7.02471i) q^{69} +(-8.72210 - 6.33697i) q^{70} +(-7.12235 - 5.17469i) q^{71} +(0.318634 + 0.980653i) q^{72} +(2.68892 - 1.95362i) q^{73} +(-0.478800 - 1.47359i) q^{74} +(0.864696 - 2.66126i) q^{75} +(2.36765 + 1.72020i) q^{76} +(1.67658 - 5.16000i) q^{77} +(-1.02156 + 3.14404i) q^{78} +(-2.19970 - 1.59818i) q^{79} +(3.93037 - 12.0964i) q^{80} +(-3.23139 - 9.94519i) q^{81} +(-12.7792 + 9.28460i) q^{82} +(1.69794 + 5.22573i) q^{83} +(-3.84695 - 2.79498i) q^{84} +(-4.39752 - 3.19499i) q^{85} +(11.5220 - 8.37124i) q^{86} -8.69823 q^{87} +3.76904 q^{88} +(2.82938 - 2.05567i) q^{89} +(0.833784 - 2.56612i) q^{90} +(0.752557 + 2.31613i) q^{91} +6.46498 q^{92} +(-1.96429 + 10.3940i) q^{93} -15.3131 q^{94} +(2.23878 + 6.89024i) q^{95} +(3.12055 - 9.60408i) q^{96} +(7.05332 - 5.12454i) q^{97} +1.86044 q^{98} +1.35785 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} + O(q^{10}) \) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} - 13q^{10} - 5q^{11} - 28q^{12} - 17q^{13} - 3q^{14} - 14q^{15} + 9q^{16} + 12q^{17} - 19q^{18} - 4q^{19} - 53q^{20} - 13q^{21} - 14q^{22} - 9q^{23} + 2q^{24} + 96q^{25} + 12q^{26} + 25q^{27} - 25q^{28} - 78q^{30} - 2q^{31} + 76q^{32} + 29q^{33} - 15q^{34} - 36q^{35} + 52q^{36} + 24q^{37} - 19q^{38} + 3q^{39} - 12q^{40} - 40q^{41} + 11q^{42} - 22q^{43} + 4q^{44} + 63q^{45} - 24q^{46} + 3q^{47} + 68q^{48} + 33q^{49} - 76q^{50} - 59q^{51} - 13q^{52} - q^{53} + 18q^{54} - 22q^{55} + 78q^{56} - 16q^{57} + 5q^{58} - 18q^{59} + 43q^{60} - 32q^{61} - 39q^{62} + 20q^{63} + 23q^{64} + 2q^{65} + 11q^{66} + 114q^{67} + 98q^{68} - 46q^{69} + 32q^{70} - 2q^{71} + 28q^{72} + 10q^{73} - 43q^{74} - 12q^{75} - 35q^{76} - 3q^{77} - 6q^{78} - 10q^{79} + 68q^{80} - 54q^{81} - 80q^{82} - 22q^{83} - 14q^{84} - 50q^{85} - 66q^{86} + 76q^{87} - 34q^{88} - 10q^{89} - 63q^{90} - 8q^{91} - 64q^{92} - 16q^{93} + 30q^{94} + 15q^{95} + 34q^{96} - 7q^{97} + 138q^{98} - 48q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.537701 1.65487i −0.380212 1.17017i −0.939894 0.341465i \(-0.889077\pi\)
0.559682 0.828707i \(-0.310923\pi\)
\(3\) 0.587091 1.80688i 0.338957 1.04320i −0.625783 0.779997i \(-0.715220\pi\)
0.964740 0.263205i \(-0.0847795\pi\)
\(4\) −0.831453 + 0.604086i −0.415726 + 0.302043i
\(5\) −2.54418 −1.13779 −0.568896 0.822410i \(-0.692629\pi\)
−0.568896 + 0.822410i \(0.692629\pi\)
\(6\) −3.30584 −1.34960
\(7\) −1.97022 + 1.43145i −0.744673 + 0.541036i −0.894171 0.447726i \(-0.852234\pi\)
0.149498 + 0.988762i \(0.452234\pi\)
\(8\) −1.36868 0.994405i −0.483902 0.351575i
\(9\) −0.493085 0.358248i −0.164362 0.119416i
\(10\) 1.36801 + 4.21030i 0.432602 + 1.33141i
\(11\) −1.80237 + 1.30950i −0.543435 + 0.394829i −0.825359 0.564608i \(-0.809027\pi\)
0.281924 + 0.959437i \(0.409027\pi\)
\(12\) 0.603372 + 1.85699i 0.174178 + 0.536066i
\(13\) 0.309017 0.951057i 0.0857059 0.263776i
\(14\) 3.42826 + 2.49077i 0.916240 + 0.665687i
\(15\) −1.49366 + 4.59702i −0.385662 + 1.18695i
\(16\) −1.54485 + 4.75455i −0.386212 + 1.18864i
\(17\) 1.72846 + 1.25580i 0.419214 + 0.304577i 0.777322 0.629103i \(-0.216578\pi\)
−0.358107 + 0.933680i \(0.616578\pi\)
\(18\) −0.327722 + 1.00862i −0.0772448 + 0.237735i
\(19\) −0.879960 2.70824i −0.201877 0.621312i −0.999827 0.0185894i \(-0.994082\pi\)
0.797951 0.602723i \(-0.205918\pi\)
\(20\) 2.11536 1.53690i 0.473010 0.343662i
\(21\) 1.42976 + 4.40034i 0.311998 + 0.960232i
\(22\) 3.13619 + 2.27858i 0.668639 + 0.485794i
\(23\) −5.08914 3.69748i −1.06116 0.770978i −0.0868574 0.996221i \(-0.527682\pi\)
−0.974303 + 0.225243i \(0.927682\pi\)
\(24\) −2.60031 + 1.88924i −0.530786 + 0.385639i
\(25\) 1.47285 0.294570
\(26\) −1.74004 −0.341250
\(27\) 3.67427 2.66952i 0.707114 0.513749i
\(28\) 0.773426 2.38036i 0.146164 0.449846i
\(29\) −1.41478 4.35426i −0.262719 0.808566i −0.992210 0.124576i \(-0.960243\pi\)
0.729491 0.683990i \(-0.239757\pi\)
\(30\) 8.41064 1.53557
\(31\) −5.52266 + 0.707300i −0.991898 + 0.127035i
\(32\) 5.31528 0.939618
\(33\) 1.30795 + 4.02546i 0.227685 + 0.700743i
\(34\) 1.14880 3.53564i 0.197017 0.606357i
\(35\) 5.01259 3.64186i 0.847282 0.615587i
\(36\) 0.626389 0.104398
\(37\) 0.890456 0.146390 0.0731951 0.997318i \(-0.476680\pi\)
0.0731951 + 0.997318i \(0.476680\pi\)
\(38\) −4.00864 + 2.91245i −0.650287 + 0.472461i
\(39\) −1.53702 1.11671i −0.246121 0.178817i
\(40\) 3.48217 + 2.52995i 0.550580 + 0.400020i
\(41\) −2.80523 8.63361i −0.438103 1.34834i −0.889873 0.456209i \(-0.849207\pi\)
0.451770 0.892135i \(-0.350793\pi\)
\(42\) 6.51322 4.73213i 1.00501 0.730184i
\(43\) 2.52927 + 7.78429i 0.385710 + 1.18709i 0.935964 + 0.352096i \(0.114531\pi\)
−0.550254 + 0.834997i \(0.685469\pi\)
\(44\) 0.707536 2.17757i 0.106665 0.328281i
\(45\) 1.25450 + 0.911446i 0.187009 + 0.135870i
\(46\) −3.38243 + 10.4100i −0.498711 + 1.53488i
\(47\) 2.71949 8.36973i 0.396679 1.22085i −0.530968 0.847392i \(-0.678172\pi\)
0.927647 0.373459i \(-0.121828\pi\)
\(48\) 7.68393 + 5.58270i 1.10908 + 0.805794i
\(49\) −0.330400 + 1.01687i −0.0472000 + 0.145267i
\(50\) −0.791953 2.43738i −0.111999 0.344698i
\(51\) 3.28385 2.38586i 0.459831 0.334087i
\(52\) 0.317587 + 0.977431i 0.0440413 + 0.135545i
\(53\) −5.45635 3.96427i −0.749488 0.544535i 0.146180 0.989258i \(-0.453302\pi\)
−0.895668 + 0.444723i \(0.853302\pi\)
\(54\) −6.39338 4.64506i −0.870028 0.632112i
\(55\) 4.58555 3.33160i 0.618316 0.449233i
\(56\) 4.12004 0.550564
\(57\) −5.41007 −0.716582
\(58\) −6.44502 + 4.68258i −0.846273 + 0.614853i
\(59\) −4.51278 + 13.8889i −0.587514 + 1.80818i 0.00141509 + 0.999999i \(0.499550\pi\)
−0.588929 + 0.808184i \(0.700450\pi\)
\(60\) −1.53509 4.72451i −0.198179 0.609931i
\(61\) 4.16615 0.533420 0.266710 0.963777i \(-0.414063\pi\)
0.266710 + 0.963777i \(0.414063\pi\)
\(62\) 4.14003 + 8.75899i 0.525785 + 1.11239i
\(63\) 1.48430 0.187004
\(64\) 0.231659 + 0.712974i 0.0289574 + 0.0891217i
\(65\) −0.786195 + 2.41966i −0.0975155 + 0.300122i
\(66\) 5.95834 4.32899i 0.733421 0.532862i
\(67\) 2.93094 0.358072 0.179036 0.983843i \(-0.442702\pi\)
0.179036 + 0.983843i \(0.442702\pi\)
\(68\) −2.19575 −0.266274
\(69\) −9.66869 + 7.02471i −1.16397 + 0.845676i
\(70\) −8.72210 6.33697i −1.04249 0.757413i
\(71\) −7.12235 5.17469i −0.845267 0.614123i 0.0785698 0.996909i \(-0.474965\pi\)
−0.923837 + 0.382786i \(0.874965\pi\)
\(72\) 0.318634 + 0.980653i 0.0375513 + 0.115571i
\(73\) 2.68892 1.95362i 0.314714 0.228653i −0.419202 0.907893i \(-0.637690\pi\)
0.733917 + 0.679239i \(0.237690\pi\)
\(74\) −0.478800 1.47359i −0.0556593 0.171302i
\(75\) 0.864696 2.66126i 0.0998465 0.307296i
\(76\) 2.36765 + 1.72020i 0.271588 + 0.197320i
\(77\) 1.67658 5.16000i 0.191065 0.588036i
\(78\) −1.02156 + 3.14404i −0.115669 + 0.355992i
\(79\) −2.19970 1.59818i −0.247486 0.179809i 0.457126 0.889402i \(-0.348879\pi\)
−0.704612 + 0.709593i \(0.748879\pi\)
\(80\) 3.93037 12.0964i 0.439429 1.35242i
\(81\) −3.23139 9.94519i −0.359043 1.10502i
\(82\) −12.7792 + 9.28460i −1.41122 + 1.02531i
\(83\) 1.69794 + 5.22573i 0.186373 + 0.573598i 0.999969 0.00783251i \(-0.00249319\pi\)
−0.813596 + 0.581431i \(0.802493\pi\)
\(84\) −3.84695 2.79498i −0.419737 0.304957i
\(85\) −4.39752 3.19499i −0.476978 0.346545i
\(86\) 11.5220 8.37124i 1.24245 0.902694i
\(87\) −8.69823 −0.932548
\(88\) 3.76904 0.401781
\(89\) 2.82938 2.05567i 0.299914 0.217900i −0.427643 0.903948i \(-0.640656\pi\)
0.727557 + 0.686048i \(0.240656\pi\)
\(90\) 0.833784 2.56612i 0.0878885 0.270493i
\(91\) 0.752557 + 2.31613i 0.0788894 + 0.242796i
\(92\) 6.46498 0.674021
\(93\) −1.96429 + 10.3940i −0.203688 + 1.07781i
\(94\) −15.3131 −1.57943
\(95\) 2.23878 + 6.89024i 0.229693 + 0.706924i
\(96\) 3.12055 9.60408i 0.318490 0.980212i
\(97\) 7.05332 5.12454i 0.716156 0.520318i −0.168998 0.985616i \(-0.554053\pi\)
0.885154 + 0.465299i \(0.154053\pi\)
\(98\) 1.86044 0.187933
\(99\) 1.35785 0.136469
\(100\) −1.22460 + 0.889727i −0.122460 + 0.0889727i
\(101\) −14.2953 10.3861i −1.42243 1.03346i −0.991364 0.131137i \(-0.958137\pi\)
−0.431067 0.902320i \(-0.641863\pi\)
\(102\) −5.71402 4.15148i −0.565773 0.411058i
\(103\) −4.55436 14.0169i −0.448755 1.38112i −0.878313 0.478086i \(-0.841331\pi\)
0.429559 0.903039i \(-0.358669\pi\)
\(104\) −1.36868 + 0.994405i −0.134210 + 0.0975095i
\(105\) −3.63756 11.1952i −0.354989 1.09254i
\(106\) −3.62648 + 11.1612i −0.352235 + 1.08407i
\(107\) −3.02150 2.19525i −0.292099 0.212222i 0.432078 0.901836i \(-0.357780\pi\)
−0.724177 + 0.689614i \(0.757780\pi\)
\(108\) −1.44237 + 4.43915i −0.138792 + 0.427158i
\(109\) 1.73399 5.33668i 0.166086 0.511161i −0.833028 0.553230i \(-0.813395\pi\)
0.999115 + 0.0420689i \(0.0133949\pi\)
\(110\) −7.97904 5.79711i −0.760771 0.552733i
\(111\) 0.522779 1.60895i 0.0496199 0.152714i
\(112\) −3.76220 11.5789i −0.355495 1.09410i
\(113\) 7.46082 5.42060i 0.701855 0.509927i −0.178681 0.983907i \(-0.557183\pi\)
0.880536 + 0.473980i \(0.157183\pi\)
\(114\) 2.90900 + 8.95299i 0.272453 + 0.838524i
\(115\) 12.9477 + 9.40705i 1.20738 + 0.877212i
\(116\) 3.80667 + 2.76571i 0.353441 + 0.256790i
\(117\) −0.493085 + 0.358248i −0.0455858 + 0.0331200i
\(118\) 25.4109 2.33927
\(119\) −5.20307 −0.476965
\(120\) 6.61566 4.80655i 0.603924 0.438776i
\(121\) −1.86543 + 5.74122i −0.169585 + 0.521929i
\(122\) −2.24014 6.89445i −0.202813 0.624194i
\(123\) −17.2468 −1.55509
\(124\) 4.16456 3.92424i 0.373988 0.352407i
\(125\) 8.97370 0.802633
\(126\) −0.798109 2.45633i −0.0711012 0.218827i
\(127\) 4.76106 14.6530i 0.422476 1.30025i −0.482915 0.875667i \(-0.660422\pi\)
0.905391 0.424580i \(-0.139578\pi\)
\(128\) 9.65563 7.01523i 0.853445 0.620064i
\(129\) 15.5502 1.36912
\(130\) 4.42697 0.388271
\(131\) −16.1859 + 11.7598i −1.41417 + 1.02746i −0.421471 + 0.906842i \(0.638486\pi\)
−0.992700 + 0.120614i \(0.961514\pi\)
\(132\) −3.51922 2.55686i −0.306309 0.222546i
\(133\) 5.61041 + 4.07620i 0.486484 + 0.353452i
\(134\) −1.57597 4.85034i −0.136143 0.419006i
\(135\) −9.34801 + 6.79173i −0.804549 + 0.584539i
\(136\) −1.11694 3.43759i −0.0957768 0.294771i
\(137\) 1.46491 4.50854i 0.125156 0.385191i −0.868773 0.495210i \(-0.835091\pi\)
0.993929 + 0.110019i \(0.0350912\pi\)
\(138\) 16.8239 + 12.2233i 1.43214 + 1.04051i
\(139\) −3.57666 + 11.0078i −0.303368 + 0.933672i 0.676913 + 0.736063i \(0.263317\pi\)
−0.980281 + 0.197608i \(0.936683\pi\)
\(140\) −1.96774 + 6.05607i −0.166304 + 0.511831i
\(141\) −13.5265 9.82758i −1.13914 0.827632i
\(142\) −4.73376 + 14.5690i −0.397249 + 1.22261i
\(143\) 0.688444 + 2.11881i 0.0575706 + 0.177184i
\(144\) 2.46505 1.79096i 0.205421 0.149247i
\(145\) 3.59947 + 11.0780i 0.298919 + 0.919979i
\(146\) −4.67883 3.39937i −0.387222 0.281334i
\(147\) 1.64338 + 1.19399i 0.135544 + 0.0984782i
\(148\) −0.740372 + 0.537912i −0.0608582 + 0.0442161i
\(149\) 8.85164 0.725154 0.362577 0.931954i \(-0.381897\pi\)
0.362577 + 0.931954i \(0.381897\pi\)
\(150\) −4.86900 −0.397552
\(151\) −1.93310 + 1.40448i −0.157314 + 0.114295i −0.663657 0.748037i \(-0.730997\pi\)
0.506344 + 0.862332i \(0.330997\pi\)
\(152\) −1.48870 + 4.58175i −0.120750 + 0.371629i
\(153\) −0.402392 1.23844i −0.0325315 0.100122i
\(154\) −9.44065 −0.760749
\(155\) 14.0506 1.79950i 1.12857 0.144539i
\(156\) 1.95255 0.156329
\(157\) −1.98441 6.10739i −0.158373 0.487423i 0.840114 0.542410i \(-0.182488\pi\)
−0.998487 + 0.0549872i \(0.982488\pi\)
\(158\) −1.46200 + 4.49957i −0.116310 + 0.357967i
\(159\) −10.3663 + 7.53158i −0.822104 + 0.597293i
\(160\) −13.5230 −1.06909
\(161\) 15.3195 1.20734
\(162\) −14.7205 + 10.6951i −1.15655 + 0.840285i
\(163\) −4.41849 3.21022i −0.346083 0.251444i 0.401141 0.916016i \(-0.368614\pi\)
−0.747224 + 0.664572i \(0.768614\pi\)
\(164\) 7.54785 + 5.48384i 0.589388 + 0.428216i
\(165\) −3.32766 10.2415i −0.259058 0.797299i
\(166\) 7.73494 5.61976i 0.600348 0.436178i
\(167\) 5.06251 + 15.5808i 0.391749 + 1.20568i 0.931465 + 0.363832i \(0.118532\pi\)
−0.539716 + 0.841847i \(0.681468\pi\)
\(168\) 2.41884 7.44441i 0.186617 0.574349i
\(169\) −0.809017 0.587785i −0.0622321 0.0452143i
\(170\) −2.92275 + 8.99530i −0.224165 + 0.689908i
\(171\) −0.536324 + 1.65064i −0.0410137 + 0.126227i
\(172\) −6.80534 4.94437i −0.518903 0.377005i
\(173\) 0.0543643 0.167316i 0.00413324 0.0127208i −0.948969 0.315370i \(-0.897871\pi\)
0.953102 + 0.302650i \(0.0978712\pi\)
\(174\) 4.67705 + 14.3945i 0.354566 + 1.09124i
\(175\) −2.90183 + 2.10831i −0.219358 + 0.159373i
\(176\) −3.44169 10.5924i −0.259427 0.798435i
\(177\) 22.4462 + 16.3081i 1.68716 + 1.22579i
\(178\) −4.92324 3.57694i −0.369012 0.268103i
\(179\) 3.11095 2.26024i 0.232523 0.168938i −0.465422 0.885089i \(-0.654098\pi\)
0.697946 + 0.716151i \(0.254098\pi\)
\(180\) −1.59365 −0.118783
\(181\) 10.4515 0.776852 0.388426 0.921480i \(-0.373019\pi\)
0.388426 + 0.921480i \(0.373019\pi\)
\(182\) 3.42826 2.49077i 0.254119 0.184628i
\(183\) 2.44590 7.52772i 0.180806 0.556465i
\(184\) 3.28862 + 10.1213i 0.242441 + 0.746155i
\(185\) −2.26548 −0.166561
\(186\) 18.2570 2.33822i 1.33867 0.171446i
\(187\) −4.75981 −0.348071
\(188\) 2.79491 + 8.60184i 0.203840 + 0.627354i
\(189\) −3.41785 + 10.5191i −0.248612 + 0.765149i
\(190\) 10.1987 7.40978i 0.739891 0.537562i
\(191\) 20.8475 1.50847 0.754237 0.656602i \(-0.228007\pi\)
0.754237 + 0.656602i \(0.228007\pi\)
\(192\) 1.42426 0.102787
\(193\) −1.82160 + 1.32347i −0.131121 + 0.0952653i −0.651413 0.758724i \(-0.725823\pi\)
0.520291 + 0.853989i \(0.325823\pi\)
\(194\) −12.2730 8.91689i −0.881153 0.640195i
\(195\) 3.91046 + 2.84112i 0.280034 + 0.203457i
\(196\) −0.339563 1.04507i −0.0242545 0.0746476i
\(197\) 6.85950 4.98371i 0.488719 0.355075i −0.315973 0.948768i \(-0.602331\pi\)
0.804691 + 0.593693i \(0.202331\pi\)
\(198\) −0.730116 2.24707i −0.0518871 0.159692i
\(199\) −0.476514 + 1.46656i −0.0337792 + 0.103962i −0.966525 0.256574i \(-0.917406\pi\)
0.932745 + 0.360536i \(0.117406\pi\)
\(200\) −2.01586 1.46461i −0.142543 0.103564i
\(201\) 1.72073 5.29586i 0.121371 0.373541i
\(202\) −9.50113 + 29.2415i −0.668497 + 2.05742i
\(203\) 9.02033 + 6.55365i 0.633103 + 0.459976i
\(204\) −1.28910 + 3.96745i −0.0902553 + 0.277777i
\(205\) 7.13701 + 21.9654i 0.498470 + 1.53413i
\(206\) −20.7473 + 15.0738i −1.44553 + 1.05024i
\(207\) 1.18477 + 3.64635i 0.0823472 + 0.253439i
\(208\) 4.04446 + 2.93847i 0.280433 + 0.203747i
\(209\) 5.13245 + 3.72894i 0.355019 + 0.257936i
\(210\) −16.5708 + 12.0394i −1.14349 + 0.830797i
\(211\) −14.2248 −0.979273 −0.489637 0.871927i \(-0.662871\pi\)
−0.489637 + 0.871927i \(0.662871\pi\)
\(212\) 6.93146 0.476055
\(213\) −13.5315 + 9.83121i −0.927163 + 0.673623i
\(214\) −2.00819 + 6.18058i −0.137277 + 0.422496i
\(215\) −6.43491 19.8046i −0.438857 1.35066i
\(216\) −7.68349 −0.522795
\(217\) 9.86838 9.29893i 0.669909 0.631252i
\(218\) −9.76391 −0.661295
\(219\) −1.95131 6.00551i −0.131857 0.405814i
\(220\) −1.80010 + 5.54013i −0.121363 + 0.373516i
\(221\) 1.72846 1.25580i 0.116269 0.0844744i
\(222\) −2.94370 −0.197568
\(223\) 24.8972 1.66724 0.833619 0.552339i \(-0.186265\pi\)
0.833619 + 0.552339i \(0.186265\pi\)
\(224\) −10.4723 + 7.60855i −0.699708 + 0.508368i
\(225\) −0.726240 0.527645i −0.0484160 0.0351763i
\(226\) −12.9821 9.43205i −0.863557 0.627411i
\(227\) −0.0133422 0.0410632i −0.000885556 0.00272546i 0.950613 0.310379i \(-0.100456\pi\)
−0.951498 + 0.307654i \(0.900456\pi\)
\(228\) 4.49822 3.26815i 0.297902 0.216438i
\(229\) 3.74430 + 11.5238i 0.247430 + 0.761511i 0.995227 + 0.0975841i \(0.0311115\pi\)
−0.747797 + 0.663927i \(0.768888\pi\)
\(230\) 8.60550 26.4850i 0.567430 1.74637i
\(231\) −8.33918 6.05877i −0.548678 0.398638i
\(232\) −2.39351 + 7.36646i −0.157142 + 0.483632i
\(233\) −0.903687 + 2.78126i −0.0592025 + 0.182207i −0.976284 0.216493i \(-0.930538\pi\)
0.917082 + 0.398699i \(0.130538\pi\)
\(234\) 0.857987 + 0.623364i 0.0560884 + 0.0407506i
\(235\) −6.91887 + 21.2941i −0.451338 + 1.38907i
\(236\) −4.63793 14.2741i −0.301904 0.929164i
\(237\) −4.17914 + 3.03632i −0.271464 + 0.197230i
\(238\) 2.79770 + 8.61043i 0.181348 + 0.558131i
\(239\) −11.9428 8.67693i −0.772513 0.561264i 0.130210 0.991486i \(-0.458435\pi\)
−0.902723 + 0.430223i \(0.858435\pi\)
\(240\) −19.5493 14.2034i −1.26190 0.916826i
\(241\) −9.88166 + 7.17945i −0.636534 + 0.462469i −0.858658 0.512549i \(-0.828701\pi\)
0.222124 + 0.975018i \(0.428701\pi\)
\(242\) 10.5040 0.675225
\(243\) −6.24191 −0.400419
\(244\) −3.46395 + 2.51671i −0.221757 + 0.161116i
\(245\) 0.840597 2.58709i 0.0537038 0.165283i
\(246\) 9.27363 + 28.5413i 0.591265 + 1.81973i
\(247\) −2.84761 −0.181189
\(248\) 8.26210 + 4.52369i 0.524644 + 0.287255i
\(249\) 10.4391 0.661551
\(250\) −4.82517 14.8504i −0.305171 0.939219i
\(251\) 8.39754 25.8450i 0.530048 1.63132i −0.224064 0.974574i \(-0.571933\pi\)
0.754112 0.656746i \(-0.228067\pi\)
\(252\) −1.23412 + 0.896643i −0.0777425 + 0.0564832i
\(253\) 14.0144 0.881076
\(254\) −26.8090 −1.68214
\(255\) −8.35470 + 6.07005i −0.523192 + 0.380121i
\(256\) −15.5882 11.3255i −0.974261 0.707842i
\(257\) 17.9886 + 13.0695i 1.12210 + 0.815253i 0.984526 0.175238i \(-0.0560696\pi\)
0.137574 + 0.990492i \(0.456070\pi\)
\(258\) −8.36135 25.7336i −0.520555 1.60210i
\(259\) −1.75439 + 1.27464i −0.109013 + 0.0792024i
\(260\) −0.807997 2.48676i −0.0501099 0.154222i
\(261\) −0.862293 + 2.65386i −0.0533746 + 0.164270i
\(262\) 28.1641 + 20.4624i 1.73999 + 1.26417i
\(263\) 0.514459 1.58334i 0.0317229 0.0976330i −0.933941 0.357426i \(-0.883654\pi\)
0.965664 + 0.259793i \(0.0836544\pi\)
\(264\) 2.21277 6.81021i 0.136187 0.419139i
\(265\) 13.8819 + 10.0858i 0.852761 + 0.619567i
\(266\) 3.72888 11.4763i 0.228632 0.703658i
\(267\) −2.05324 6.31922i −0.125656 0.386730i
\(268\) −2.43694 + 1.77054i −0.148860 + 0.108153i
\(269\) 5.92728 + 18.2423i 0.361393 + 1.11225i 0.952209 + 0.305447i \(0.0988058\pi\)
−0.590816 + 0.806806i \(0.701194\pi\)
\(270\) 16.2659 + 11.8179i 0.989911 + 0.719212i
\(271\) −9.82937 7.14146i −0.597092 0.433813i 0.247754 0.968823i \(-0.420308\pi\)
−0.844845 + 0.535010i \(0.820308\pi\)
\(272\) −8.64099 + 6.27805i −0.523937 + 0.380663i
\(273\) 4.62679 0.280026
\(274\) −8.24876 −0.498326
\(275\) −2.65462 + 1.92869i −0.160080 + 0.116305i
\(276\) 3.79553 11.6814i 0.228464 0.703140i
\(277\) −2.89704 8.91616i −0.174066 0.535720i 0.825523 0.564368i \(-0.190880\pi\)
−0.999590 + 0.0286474i \(0.990880\pi\)
\(278\) 20.1397 1.20790
\(279\) 2.97653 + 1.62972i 0.178200 + 0.0975687i
\(280\) −10.4821 −0.626427
\(281\) −6.08614 18.7312i −0.363069 1.11741i −0.951182 0.308632i \(-0.900129\pi\)
0.588113 0.808779i \(-0.299871\pi\)
\(282\) −8.99019 + 27.6690i −0.535358 + 1.64766i
\(283\) 7.03107 5.10837i 0.417954 0.303661i −0.358860 0.933391i \(-0.616835\pi\)
0.776814 + 0.629730i \(0.216835\pi\)
\(284\) 9.04785 0.536891
\(285\) 13.7642 0.815321
\(286\) 3.13619 2.27858i 0.185447 0.134735i
\(287\) 17.8855 + 12.9946i 1.05575 + 0.767044i
\(288\) −2.62089 1.90419i −0.154437 0.112205i
\(289\) −3.84274 11.8267i −0.226044 0.695691i
\(290\) 16.3973 11.9133i 0.962882 0.699575i
\(291\) −5.11848 15.7531i −0.300051 0.923461i
\(292\) −1.05556 + 3.24868i −0.0617720 + 0.190115i
\(293\) 19.1755 + 13.9318i 1.12025 + 0.813906i 0.984246 0.176803i \(-0.0565755\pi\)
0.135999 + 0.990709i \(0.456576\pi\)
\(294\) 1.09225 3.36159i 0.0637012 0.196052i
\(295\) 11.4813 35.3359i 0.668469 2.05734i
\(296\) −1.21875 0.885474i −0.0708385 0.0514672i
\(297\) −3.12667 + 9.62291i −0.181428 + 0.558378i
\(298\) −4.75954 14.6483i −0.275713 0.848556i
\(299\) −5.08914 + 3.69748i −0.294313 + 0.213831i
\(300\) 0.888676 + 2.73506i 0.0513077 + 0.157909i
\(301\) −16.1260 11.7162i −0.929488 0.675313i
\(302\) 3.36367 + 2.44385i 0.193558 + 0.140628i
\(303\) −27.1591 + 19.7322i −1.56025 + 1.13359i
\(304\) 14.2359 0.816482
\(305\) −10.5994 −0.606921
\(306\) −1.83309 + 1.33182i −0.104791 + 0.0761349i
\(307\) 4.58528 14.1120i 0.261696 0.805417i −0.730740 0.682656i \(-0.760825\pi\)
0.992436 0.122762i \(-0.0391750\pi\)
\(308\) 1.72308 + 5.30309i 0.0981816 + 0.302172i
\(309\) −28.0006 −1.59290
\(310\) −10.5330 22.2844i −0.598233 1.26567i
\(311\) 13.3070 0.754572 0.377286 0.926097i \(-0.376857\pi\)
0.377286 + 0.926097i \(0.376857\pi\)
\(312\) 0.993230 + 3.05685i 0.0562306 + 0.173060i
\(313\) 0.549117 1.69001i 0.0310379 0.0955248i −0.934337 0.356389i \(-0.884008\pi\)
0.965375 + 0.260865i \(0.0840076\pi\)
\(314\) −9.03995 + 6.56791i −0.510154 + 0.370648i
\(315\) −3.77632 −0.212772
\(316\) 2.79438 0.157196
\(317\) −17.8918 + 12.9992i −1.00491 + 0.730107i −0.963134 0.269021i \(-0.913300\pi\)
−0.0417712 + 0.999127i \(0.513300\pi\)
\(318\) 18.0378 + 13.1052i 1.01151 + 0.734905i
\(319\) 8.25186 + 5.99533i 0.462016 + 0.335674i
\(320\) −0.589383 1.81393i −0.0329475 0.101402i
\(321\) −5.74043 + 4.17067i −0.320400 + 0.232784i
\(322\) −8.23730 25.3518i −0.459047 1.41280i
\(323\) 1.88003 5.78615i 0.104608 0.321950i
\(324\) 8.69449 + 6.31692i 0.483027 + 0.350940i
\(325\) 0.455135 1.40076i 0.0252464 0.0777003i
\(326\) −2.93669 + 9.03819i −0.162648 + 0.500579i
\(327\) −8.62473 6.26623i −0.476949 0.346523i
\(328\) −4.74584 + 14.6062i −0.262045 + 0.806492i
\(329\) 6.62284 + 20.3830i 0.365129 + 1.12375i
\(330\) −15.1591 + 11.0137i −0.834481 + 0.606286i
\(331\) −4.89281 15.0585i −0.268933 0.827692i −0.990761 0.135619i \(-0.956698\pi\)
0.721828 0.692073i \(-0.243302\pi\)
\(332\) −4.56854 3.31924i −0.250731 0.182167i
\(333\) −0.439071 0.319004i −0.0240609 0.0174813i
\(334\) 23.0622 16.7556i 1.26191 0.916828i
\(335\) −7.45685 −0.407411
\(336\) −23.1304 −1.26187
\(337\) 4.79811 3.48603i 0.261370 0.189896i −0.449381 0.893340i \(-0.648355\pi\)
0.710751 + 0.703444i \(0.248355\pi\)
\(338\) −0.537701 + 1.65487i −0.0292471 + 0.0900133i
\(339\) −5.41419 16.6632i −0.294059 0.905019i
\(340\) 5.58638 0.302964
\(341\) 9.02766 8.50673i 0.488875 0.460665i
\(342\) 3.01998 0.163302
\(343\) −6.07253 18.6893i −0.327886 1.00913i
\(344\) 4.27897 13.1693i 0.230707 0.710043i
\(345\) 24.5989 17.8721i 1.32436 0.962203i
\(346\) −0.306119 −0.0164571
\(347\) −36.6068 −1.96515 −0.982577 0.185857i \(-0.940494\pi\)
−0.982577 + 0.185857i \(0.940494\pi\)
\(348\) 7.23216 5.25447i 0.387685 0.281669i
\(349\) 19.2255 + 13.9681i 1.02911 + 0.747696i 0.968131 0.250443i \(-0.0805763\pi\)
0.0609836 + 0.998139i \(0.480576\pi\)
\(350\) 5.04930 + 3.66853i 0.269897 + 0.196091i
\(351\) −1.40345 4.31937i −0.0749105 0.230551i
\(352\) −9.58011 + 6.96036i −0.510622 + 0.370988i
\(353\) −0.297859 0.916717i −0.0158535 0.0487919i 0.942817 0.333311i \(-0.108166\pi\)
−0.958670 + 0.284519i \(0.908166\pi\)
\(354\) 14.9185 45.9145i 0.792911 2.44033i
\(355\) 18.1205 + 13.1653i 0.961738 + 0.698744i
\(356\) −1.11070 + 3.41838i −0.0588670 + 0.181174i
\(357\) −3.05467 + 9.40132i −0.161670 + 0.497570i
\(358\) −5.41317 3.93290i −0.286095 0.207860i
\(359\) −8.16786 + 25.1381i −0.431083 + 1.32674i 0.465965 + 0.884803i \(0.345707\pi\)
−0.897048 + 0.441934i \(0.854293\pi\)
\(360\) −0.810661 2.49496i −0.0427256 0.131496i
\(361\) 8.81110 6.40164i 0.463742 0.336928i
\(362\) −5.61977 17.2959i −0.295369 0.909051i
\(363\) 9.27851 + 6.74123i 0.486995 + 0.353823i
\(364\) −2.02486 1.47114i −0.106131 0.0771089i
\(365\) −6.84110 + 4.97035i −0.358080 + 0.260160i
\(366\) −13.7726 −0.719905
\(367\) −27.9201 −1.45742 −0.728708 0.684825i \(-0.759879\pi\)
−0.728708 + 0.684825i \(0.759879\pi\)
\(368\) 25.4418 18.4846i 1.32625 0.963574i
\(369\) −1.70975 + 5.26207i −0.0890061 + 0.273933i
\(370\) 1.21815 + 3.74909i 0.0633287 + 0.194906i
\(371\) 16.4249 0.852736
\(372\) −4.64566 9.82874i −0.240866 0.509596i
\(373\) −28.2962 −1.46512 −0.732561 0.680702i \(-0.761675\pi\)
−0.732561 + 0.680702i \(0.761675\pi\)
\(374\) 2.55935 + 7.87688i 0.132341 + 0.407304i
\(375\) 5.26838 16.2144i 0.272058 0.837308i
\(376\) −12.0450 + 8.75122i −0.621175 + 0.451310i
\(377\) −4.57834 −0.235796
\(378\) 19.2455 0.989882
\(379\) −3.71593 + 2.69978i −0.190875 + 0.138679i −0.679118 0.734029i \(-0.737638\pi\)
0.488244 + 0.872707i \(0.337638\pi\)
\(380\) −6.02373 4.37650i −0.309011 0.224510i
\(381\) −23.6811 17.2053i −1.21322 0.881455i
\(382\) −11.2097 34.5001i −0.573541 1.76518i
\(383\) −30.2006 + 21.9420i −1.54318 + 1.12119i −0.594879 + 0.803816i \(0.702800\pi\)
−0.948302 + 0.317371i \(0.897200\pi\)
\(384\) −7.00693 21.5651i −0.357571 1.10049i
\(385\) −4.26553 + 13.1280i −0.217392 + 0.669063i
\(386\) 3.16965 + 2.30288i 0.161331 + 0.117214i
\(387\) 1.54156 4.74442i 0.0783617 0.241173i
\(388\) −2.76884 + 8.52162i −0.140567 + 0.432620i
\(389\) −2.53546 1.84212i −0.128553 0.0933992i 0.521651 0.853159i \(-0.325316\pi\)
−0.650204 + 0.759760i \(0.725316\pi\)
\(390\) 2.59903 7.99900i 0.131607 0.405045i
\(391\) −4.15310 12.7819i −0.210031 0.646410i
\(392\) 1.46339 1.06321i 0.0739123 0.0537005i
\(393\) 11.7459 + 36.1501i 0.592501 + 1.82353i
\(394\) −11.9358 8.67185i −0.601316 0.436882i
\(395\) 5.59644 + 4.06605i 0.281587 + 0.204585i
\(396\) −1.12899 + 0.820256i −0.0567337 + 0.0412194i
\(397\) 26.5802 1.33402 0.667011 0.745048i \(-0.267574\pi\)
0.667011 + 0.745048i \(0.267574\pi\)
\(398\) 2.68320 0.134496
\(399\) 10.6590 7.74424i 0.533619 0.387697i
\(400\) −2.27533 + 7.00274i −0.113766 + 0.350137i
\(401\) 5.72283 + 17.6131i 0.285785 + 0.879555i 0.986162 + 0.165782i \(0.0530149\pi\)
−0.700378 + 0.713772i \(0.746985\pi\)
\(402\) −9.68922 −0.483255
\(403\) −1.03391 + 5.47093i −0.0515028 + 0.272526i
\(404\) 18.1599 0.903490
\(405\) 8.22123 + 25.3023i 0.408516 + 1.25728i
\(406\) 5.99523 18.4514i 0.297538 0.915729i
\(407\) −1.60493 + 1.16605i −0.0795535 + 0.0577990i
\(408\) −6.86705 −0.339970
\(409\) 6.14910 0.304053 0.152027 0.988376i \(-0.451420\pi\)
0.152027 + 0.988376i \(0.451420\pi\)
\(410\) 32.5125 23.6217i 1.60568 1.16659i
\(411\) −7.28636 5.29385i −0.359409 0.261126i
\(412\) 12.2541 + 8.90315i 0.603718 + 0.438627i
\(413\) −10.9901 33.8240i −0.540787 1.66437i
\(414\) 5.39719 3.92129i 0.265258 0.192721i
\(415\) −4.31987 13.2952i −0.212054 0.652635i
\(416\) 1.64251 5.05514i 0.0805308 0.247848i
\(417\) 17.7900 + 12.9252i 0.871179 + 0.632949i
\(418\) 3.41121 10.4986i 0.166847 0.513504i
\(419\) −10.5823 + 32.5688i −0.516977 + 1.59109i 0.262680 + 0.964883i \(0.415394\pi\)
−0.779656 + 0.626208i \(0.784606\pi\)
\(420\) 9.78734 + 7.11092i 0.477573 + 0.346977i
\(421\) 0.541696 1.66717i 0.0264006 0.0812528i −0.936988 0.349361i \(-0.886399\pi\)
0.963389 + 0.268109i \(0.0863986\pi\)
\(422\) 7.64867 + 23.5402i 0.372332 + 1.14592i
\(423\) −4.33938 + 3.15274i −0.210988 + 0.153292i
\(424\) 3.52592 + 10.8517i 0.171234 + 0.527003i
\(425\) 2.54577 + 1.84961i 0.123488 + 0.0897192i
\(426\) 23.5453 + 17.1067i 1.14077 + 0.828821i
\(427\) −8.20822 + 5.96362i −0.397223 + 0.288600i
\(428\) 3.83835 0.185534
\(429\) 4.23262 0.204353
\(430\) −29.3141 + 21.2979i −1.41365 + 1.02708i
\(431\) 0.800215 2.46281i 0.0385450 0.118629i −0.929933 0.367730i \(-0.880135\pi\)
0.968478 + 0.249101i \(0.0801350\pi\)
\(432\) 7.01616 + 21.5935i 0.337565 + 1.03892i
\(433\) 28.0735 1.34913 0.674563 0.738217i \(-0.264332\pi\)
0.674563 + 0.738217i \(0.264332\pi\)
\(434\) −20.6948 11.3309i −0.993382 0.543900i
\(435\) 22.1299 1.06105
\(436\) 1.78208 + 5.48468i 0.0853462 + 0.262668i
\(437\) −5.53541 + 17.0362i −0.264795 + 0.814954i
\(438\) −8.88914 + 6.45834i −0.424739 + 0.308591i
\(439\) −26.6591 −1.27237 −0.636184 0.771538i \(-0.719488\pi\)
−0.636184 + 0.771538i \(0.719488\pi\)
\(440\) −9.58912 −0.457143
\(441\) 0.527205 0.383037i 0.0251050 0.0182399i
\(442\) −3.00759 2.18514i −0.143057 0.103937i
\(443\) 27.9114 + 20.2788i 1.32611 + 0.963477i 0.999834 + 0.0182027i \(0.00579441\pi\)
0.326278 + 0.945274i \(0.394206\pi\)
\(444\) 0.537276 + 1.65357i 0.0254980 + 0.0784748i
\(445\) −7.19846 + 5.22999i −0.341240 + 0.247925i
\(446\) −13.3872 41.2017i −0.633905 1.95096i
\(447\) 5.19671 15.9938i 0.245796 0.756483i
\(448\) −1.47700 1.07311i −0.0697819 0.0506995i
\(449\) 11.8100 36.3476i 0.557350 1.71535i −0.132305 0.991209i \(-0.542238\pi\)
0.689655 0.724138i \(-0.257762\pi\)
\(450\) −0.482685 + 1.48555i −0.0227540 + 0.0700296i
\(451\) 16.3618 + 11.8875i 0.770445 + 0.559761i
\(452\) −2.92881 + 9.01394i −0.137760 + 0.423980i
\(453\) 1.40282 + 4.31744i 0.0659103 + 0.202851i
\(454\) −0.0607803 + 0.0441595i −0.00285256 + 0.00207251i
\(455\) −1.91464 5.89265i −0.0897597 0.276252i
\(456\) 7.40467 + 5.37981i 0.346755 + 0.251932i
\(457\) −25.1187 18.2498i −1.17500 0.853689i −0.183404 0.983038i \(-0.558711\pi\)
−0.991599 + 0.129348i \(0.958711\pi\)
\(458\) 17.0571 12.3927i 0.797024 0.579072i
\(459\) 9.70324 0.452908
\(460\) −16.4481 −0.766895
\(461\) −2.39261 + 1.73833i −0.111435 + 0.0809622i −0.642107 0.766615i \(-0.721940\pi\)
0.530672 + 0.847577i \(0.321940\pi\)
\(462\) −5.54252 + 17.0581i −0.257861 + 0.793615i
\(463\) −3.75812 11.5663i −0.174655 0.537532i 0.824963 0.565187i \(-0.191196\pi\)
−0.999618 + 0.0276552i \(0.991196\pi\)
\(464\) 22.8882 1.06256
\(465\) 4.99752 26.4443i 0.231754 1.22632i
\(466\) 5.08856 0.235723
\(467\) −1.45816 4.48776i −0.0674756 0.207669i 0.911633 0.411004i \(-0.134822\pi\)
−0.979109 + 0.203335i \(0.934822\pi\)
\(468\) 0.193565 0.595732i 0.00894754 0.0275377i
\(469\) −5.77460 + 4.19549i −0.266646 + 0.193730i
\(470\) 38.9594 1.79706
\(471\) −12.2004 −0.562163
\(472\) 19.9878 14.5220i 0.920012 0.668428i
\(473\) −14.7522 10.7181i −0.678307 0.492819i
\(474\) 7.27186 + 5.28331i 0.334007 + 0.242671i
\(475\) −1.29605 3.98883i −0.0594668 0.183020i
\(476\) 4.32611 3.14310i 0.198287 0.144064i
\(477\) 1.27026 + 3.90945i 0.0581611 + 0.179001i
\(478\) −7.93758 + 24.4294i −0.363057 + 1.11737i
\(479\) −18.2518 13.2607i −0.833948 0.605899i 0.0867255 0.996232i \(-0.472360\pi\)
−0.920673 + 0.390334i \(0.872360\pi\)
\(480\) −7.93925 + 24.4345i −0.362375 + 1.11528i
\(481\) 0.275166 0.846874i 0.0125465 0.0386141i
\(482\) 17.1945 + 12.4925i 0.783187 + 0.569018i
\(483\) 8.99392 27.6804i 0.409238 1.25950i
\(484\) −1.91717 5.90043i −0.0871440 0.268202i
\(485\) −17.9449 + 13.0377i −0.814836 + 0.592013i
\(486\) 3.35628 + 10.3296i 0.152244 + 0.468559i
\(487\) −3.47003 2.52113i −0.157242 0.114243i 0.506382 0.862309i \(-0.330983\pi\)
−0.663624 + 0.748066i \(0.730983\pi\)
\(488\) −5.70213 4.14284i −0.258123 0.187537i
\(489\) −8.39454 + 6.09899i −0.379614 + 0.275806i
\(490\) −4.73330 −0.213829
\(491\) 19.5749 0.883401 0.441700 0.897163i \(-0.354375\pi\)
0.441700 + 0.897163i \(0.354375\pi\)
\(492\) 14.3399 10.4186i 0.646493 0.469705i
\(493\) 3.02269 9.30287i 0.136135 0.418980i
\(494\) 1.53116 + 4.71244i 0.0688903 + 0.212022i
\(495\) −3.45461 −0.155273
\(496\) 5.16877 27.3504i 0.232084 1.22807i
\(497\) 21.4399 0.961710
\(498\) −5.61312 17.2754i −0.251530 0.774129i
\(499\) 2.21236 6.80893i 0.0990386 0.304810i −0.889247 0.457428i \(-0.848771\pi\)
0.988285 + 0.152619i \(0.0487706\pi\)
\(500\) −7.46121 + 5.42089i −0.333675 + 0.242429i
\(501\) 31.1248 1.39055
\(502\) −47.2855 −2.11046
\(503\) −23.8259 + 17.3105i −1.06235 + 0.771839i −0.974521 0.224297i \(-0.927991\pi\)
−0.0878244 + 0.996136i \(0.527991\pi\)
\(504\) −2.03153 1.47599i −0.0904916 0.0657460i
\(505\) 36.3697 + 26.4241i 1.61843 + 1.17586i
\(506\) −7.53554 23.1920i −0.334996 1.03101i
\(507\) −1.53702 + 1.11671i −0.0682616 + 0.0495949i
\(508\) 4.89309 + 15.0594i 0.217096 + 0.668153i
\(509\) −13.5511 + 41.7061i −0.600644 + 1.84859i −0.0763014 + 0.997085i \(0.524311\pi\)
−0.524343 + 0.851507i \(0.675689\pi\)
\(510\) 14.5375 + 10.5621i 0.643731 + 0.467698i
\(511\) −2.50126 + 7.69810i −0.110649 + 0.340544i
\(512\) −2.98421 + 9.18445i −0.131885 + 0.405899i
\(513\) −10.4629 7.60174i −0.461948 0.335625i
\(514\) 11.9559 36.7964i 0.527351 1.62302i
\(515\) 11.5871 + 35.6615i 0.510589 + 1.57143i
\(516\) −12.9292 + 9.39364i −0.569178 + 0.413532i
\(517\) 6.05862 + 18.6465i 0.266458 + 0.820073i
\(518\) 3.05271 + 2.21792i 0.134128 + 0.0974500i
\(519\) −0.270403 0.196460i −0.0118694 0.00862362i
\(520\) 3.48217 2.52995i 0.152703 0.110945i
\(521\) 27.5319 1.20619 0.603097 0.797668i \(-0.293933\pi\)
0.603097 + 0.797668i \(0.293933\pi\)
\(522\) 4.85547 0.212518
\(523\) −35.0777 + 25.4855i −1.53384 + 1.11440i −0.579787 + 0.814768i \(0.696864\pi\)
−0.954055 + 0.299633i \(0.903136\pi\)
\(524\) 6.35393 19.5554i 0.277573 0.854280i
\(525\) 2.10581 + 6.48103i 0.0919053 + 0.282855i
\(526\) −2.89686 −0.126309
\(527\) −10.4339 5.71282i −0.454510 0.248855i
\(528\) −21.1598 −0.920864
\(529\) 5.12065 + 15.7597i 0.222637 + 0.685205i
\(530\) 9.22643 28.3960i 0.400770 1.23344i
\(531\) 7.20086 5.23173i 0.312491 0.227038i
\(532\) −7.12717 −0.309002
\(533\) −9.07791 −0.393208
\(534\) −9.35349 + 6.79571i −0.404765 + 0.294079i
\(535\) 7.68723 + 5.58510i 0.332348 + 0.241465i
\(536\) −4.01153 2.91455i −0.173272 0.125889i
\(537\) −2.25757 6.94808i −0.0974212 0.299832i
\(538\) 27.0016 19.6178i 1.16412 0.845784i
\(539\) −0.736082 2.26543i −0.0317053 0.0975789i
\(540\) 3.66964 11.2940i 0.157916 0.486016i
\(541\) −4.18731 3.04226i −0.180026 0.130797i 0.494123 0.869392i \(-0.335489\pi\)
−0.674149 + 0.738595i \(0.735489\pi\)
\(542\) −6.53295 + 20.1063i −0.280614 + 0.863642i
\(543\) 6.13596 18.8845i 0.263319 0.810413i
\(544\) 9.18728 + 6.67495i 0.393901 + 0.286186i
\(545\) −4.41159 + 13.5775i −0.188972 + 0.581595i
\(546\) −2.48783 7.65675i −0.106469 0.327679i
\(547\) 5.92507 4.30482i 0.253338 0.184061i −0.453867 0.891069i \(-0.649956\pi\)
0.707205 + 0.707009i \(0.249956\pi\)
\(548\) 1.50554 + 4.63357i 0.0643135 + 0.197937i
\(549\) −2.05427 1.49251i −0.0876739 0.0636988i
\(550\) 4.61914 + 3.35600i 0.196961 + 0.143100i
\(551\) −10.5474 + 7.66315i −0.449335 + 0.326461i
\(552\) 20.2188 0.860568
\(553\) 6.62160 0.281579
\(554\) −13.1974 + 9.58847i −0.560703 + 0.407375i
\(555\) −1.33004 + 4.09345i −0.0564572 + 0.173757i
\(556\) −3.67585 11.3131i −0.155891 0.479782i
\(557\) −17.5740 −0.744635 −0.372318 0.928105i \(-0.621437\pi\)
−0.372318 + 0.928105i \(0.621437\pi\)
\(558\) 1.09650 5.80208i 0.0464184 0.245622i
\(559\) 8.18489 0.346184
\(560\) 9.57172 + 29.4587i 0.404479 + 1.24486i
\(561\) −2.79444 + 8.60039i −0.117981 + 0.363109i
\(562\) −27.7253 + 20.1436i −1.16952 + 0.849707i
\(563\) 5.08764 0.214419 0.107209 0.994236i \(-0.465808\pi\)
0.107209 + 0.994236i \(0.465808\pi\)
\(564\) 17.1834 0.723550
\(565\) −18.9817 + 13.7910i −0.798564 + 0.580191i
\(566\) −12.2343 8.88876i −0.514247 0.373622i
\(567\) 20.6025 + 14.9686i 0.865226 + 0.628623i
\(568\) 4.60249 + 14.1650i 0.193116 + 0.594350i
\(569\) −19.7443 + 14.3451i −0.827726 + 0.601378i −0.918915 0.394456i \(-0.870933\pi\)
0.0911892 + 0.995834i \(0.470933\pi\)
\(570\) −7.40103 22.7780i −0.309995 0.954066i
\(571\) 0.845726 2.60288i 0.0353925 0.108927i −0.931800 0.362973i \(-0.881762\pi\)
0.967192 + 0.254046i \(0.0817616\pi\)
\(572\) −1.85235 1.34581i −0.0774508 0.0562713i
\(573\) 12.2394 37.6690i 0.511308 1.57364i
\(574\) 11.8873 36.5854i 0.496167 1.52705i
\(575\) −7.49554 5.44583i −0.312586 0.227107i
\(576\) 0.141193 0.434548i 0.00588305 0.0181062i
\(577\) 7.65466 + 23.5586i 0.318668 + 0.980759i 0.974218 + 0.225607i \(0.0724366\pi\)
−0.655551 + 0.755151i \(0.727563\pi\)
\(578\) −17.5055 + 12.7185i −0.728134 + 0.529020i
\(579\) 1.32190 + 4.06840i 0.0549364 + 0.169077i
\(580\) −9.68486 7.03646i −0.402142 0.292173i
\(581\) −10.8257 7.86531i −0.449125 0.326308i
\(582\) −23.3171 + 16.9409i −0.966526 + 0.702222i
\(583\) 15.0256 0.622296
\(584\) −5.62296 −0.232680
\(585\) 1.25450 0.911446i 0.0518671 0.0376837i
\(586\) 12.7447 39.2242i 0.526480 1.62034i
\(587\) −8.95189 27.5511i −0.369484 1.13715i −0.947125 0.320864i \(-0.896027\pi\)
0.577641 0.816291i \(-0.303973\pi\)
\(588\) −2.08766 −0.0860937
\(589\) 6.77525 + 14.3343i 0.279169 + 0.590633i
\(590\) −64.6500 −2.66160
\(591\) −4.97782 15.3202i −0.204760 0.630188i
\(592\) −1.37562 + 4.23372i −0.0565376 + 0.174005i
\(593\) −27.7235 + 20.1423i −1.13847 + 0.827147i −0.986905 0.161301i \(-0.948431\pi\)
−0.151564 + 0.988447i \(0.548431\pi\)
\(594\) 17.6059 0.722380
\(595\) 13.2375 0.542686
\(596\) −7.35972 + 5.34715i −0.301466 + 0.219028i
\(597\) 2.37014 + 1.72201i 0.0970034 + 0.0704771i
\(598\) 8.85531 + 6.43376i 0.362120 + 0.263096i
\(599\) 12.7974 + 39.3862i 0.522886 + 1.60928i 0.768459 + 0.639899i \(0.221024\pi\)
−0.245573 + 0.969378i \(0.578976\pi\)
\(600\) −3.82986 + 2.78256i −0.156354 + 0.113598i
\(601\) −3.20304 9.85794i −0.130655 0.402114i 0.864234 0.503090i \(-0.167803\pi\)
−0.994889 + 0.100976i \(0.967803\pi\)
\(602\) −10.7179 + 32.9864i −0.436830 + 1.34442i
\(603\) −1.44521 1.05000i −0.0588533 0.0427594i
\(604\) 0.758857 2.33552i 0.0308774 0.0950310i
\(605\) 4.74600 14.6067i 0.192952 0.593846i
\(606\) 47.2578 + 34.3348i 1.91972 + 1.39476i
\(607\) 10.0690 30.9891i 0.408687 1.25781i −0.509090 0.860713i \(-0.670018\pi\)
0.917777 0.397096i \(-0.129982\pi\)
\(608\) −4.67724 14.3951i −0.189687 0.583796i
\(609\) 17.1374 12.4511i 0.694443 0.504542i
\(610\) 5.69932 + 17.5407i 0.230759 + 0.710203i
\(611\) −7.11972 5.17278i −0.288033 0.209268i
\(612\) 1.08269 + 0.786622i 0.0437652 + 0.0317973i
\(613\) −13.9261 + 10.1179i −0.562468 + 0.408657i −0.832361 0.554233i \(-0.813012\pi\)
0.269893 + 0.962890i \(0.413012\pi\)
\(614\) −25.8192 −1.04198
\(615\) 43.8790 1.76937
\(616\) −7.42584 + 5.39519i −0.299196 + 0.217378i
\(617\) 4.70078 14.4675i 0.189246 0.582441i −0.810749 0.585394i \(-0.800940\pi\)
0.999996 + 0.00295303i \(0.000939980\pi\)
\(618\) 15.0560 + 46.3375i 0.605640 + 1.86397i
\(619\) −17.2365 −0.692795 −0.346398 0.938088i \(-0.612595\pi\)
−0.346398 + 0.938088i \(0.612595\pi\)
\(620\) −10.5954 + 9.98398i −0.425521 + 0.400966i
\(621\) −28.5694 −1.14645
\(622\) −7.15520 22.0214i −0.286897 0.882979i
\(623\) −2.63193 + 8.10023i −0.105446 + 0.324529i
\(624\) 7.68393 5.58270i 0.307604 0.223487i
\(625\) −30.1950 −1.20780
\(626\) −3.09201 −0.123582
\(627\) 9.75096 7.08448i 0.389416 0.282927i
\(628\) 5.33933 + 3.87925i 0.213063 + 0.154799i
\(629\) 1.53912 + 1.11824i 0.0613688 + 0.0445871i
\(630\) 2.03053 + 6.24934i 0.0808984 + 0.248980i
\(631\) −25.7320 + 18.6954i −1.02438 + 0.744253i −0.967175 0.254110i \(-0.918217\pi\)
−0.0572006 + 0.998363i \(0.518217\pi\)
\(632\) 1.42146 + 4.37479i 0.0565425 + 0.174020i
\(633\) −8.35122 + 25.7024i −0.331931 + 1.02158i
\(634\) 31.1325 + 22.6191i 1.23643 + 0.898318i
\(635\) −12.1130 + 37.2800i −0.480689 + 1.47941i
\(636\) 4.06939 12.5243i 0.161362 0.496621i
\(637\) 0.864998 + 0.628458i 0.0342725 + 0.0249004i
\(638\) 5.48448 16.8795i 0.217133 0.668266i
\(639\) 1.65811 + 5.10313i 0.0655937 + 0.201877i
\(640\) −24.5657 + 17.8480i −0.971043 + 0.705504i
\(641\) −7.64256 23.5214i −0.301863 0.929038i −0.980829 0.194869i \(-0.937572\pi\)
0.678966 0.734169i \(-0.262428\pi\)
\(642\) 9.98857 + 7.25712i 0.394218 + 0.286416i
\(643\) −37.6666 27.3664i −1.48543 1.07923i −0.975757 0.218855i \(-0.929768\pi\)
−0.509669 0.860371i \(-0.670232\pi\)
\(644\) −12.7374 + 9.25428i −0.501925 + 0.364670i
\(645\) −39.5624 −1.55777
\(646\) −10.5862 −0.416510
\(647\) −4.38782 + 3.18794i −0.172503 + 0.125331i −0.670687 0.741741i \(-0.734001\pi\)
0.498184 + 0.867072i \(0.334001\pi\)
\(648\) −5.46681 + 16.8251i −0.214756 + 0.660952i
\(649\) −10.0538 30.9425i −0.394647 1.21460i
\(650\) −2.56281 −0.100522
\(651\) −11.0084 23.2903i −0.431453 0.912818i
\(652\) 5.61302 0.219823
\(653\) 1.90427 + 5.86073i 0.0745197 + 0.229348i 0.981378 0.192088i \(-0.0615260\pi\)
−0.906858 + 0.421436i \(0.861526\pi\)
\(654\) −5.73230 + 17.6422i −0.224151 + 0.689865i
\(655\) 41.1799 29.9190i 1.60903 1.16903i
\(656\) 45.3826 1.77189
\(657\) −2.02575 −0.0790319
\(658\) 30.1702 21.9199i 1.17616 0.854528i
\(659\) −30.7923 22.3719i −1.19950 0.871485i −0.205261 0.978707i \(-0.565804\pi\)
−0.994235 + 0.107222i \(0.965804\pi\)
\(660\) 8.95353 + 6.50512i 0.348516 + 0.253212i
\(661\) 6.49941 + 20.0031i 0.252798 + 0.778032i 0.994256 + 0.107032i \(0.0341347\pi\)
−0.741458 + 0.671000i \(0.765865\pi\)
\(662\) −22.2891 + 16.1940i −0.866291 + 0.629397i
\(663\) −1.25432 3.86040i −0.0487137 0.149925i
\(664\) 2.87255 8.84080i 0.111477 0.343090i
\(665\) −14.2739 10.3706i −0.553518 0.402154i
\(666\) −0.291822 + 0.898136i −0.0113079 + 0.0348021i
\(667\) −8.89974 + 27.3906i −0.344599 + 1.06057i
\(668\) −13.6214 9.89652i −0.527027 0.382908i
\(669\) 14.6169 44.9862i 0.565122 1.73927i
\(670\) 4.00956 + 12.3401i 0.154903 + 0.476741i
\(671\) −7.50894 + 5.45556i −0.289879 + 0.210610i
\(672\) 7.59956 + 23.3890i 0.293159 + 0.902252i
\(673\) −11.7863 8.56324i −0.454328 0.330089i 0.336974 0.941514i \(-0.390596\pi\)
−0.791302 + 0.611425i \(0.790596\pi\)
\(674\) −8.34889 6.06582i −0.321587 0.233647i
\(675\) 5.41165 3.93179i 0.208295 0.151335i
\(676\) 1.02773 0.0395282
\(677\) −23.1895 −0.891246 −0.445623 0.895221i \(-0.647018\pi\)
−0.445623 + 0.895221i \(0.647018\pi\)
\(678\) −24.6642 + 17.9196i −0.947225 + 0.688199i
\(679\) −6.56107 + 20.1929i −0.251791 + 0.774933i
\(680\) 2.84170 + 8.74584i 0.108974 + 0.335388i
\(681\) −0.0820294 −0.00314337
\(682\) −18.9318 10.3656i −0.724934 0.396918i
\(683\) 1.01806 0.0389550 0.0194775 0.999810i \(-0.493800\pi\)
0.0194775 + 0.999810i \(0.493800\pi\)
\(684\) −0.551197 1.69641i −0.0210756 0.0648639i
\(685\) −3.72701 + 11.4705i −0.142402 + 0.438267i
\(686\) −27.6633 + 20.0985i −1.05619 + 0.767366i
\(687\) 23.0203 0.878278
\(688\) −40.9181 −1.55999
\(689\) −5.45635 + 3.96427i −0.207870 + 0.151027i
\(690\) −42.8030 31.0982i −1.62948 1.18389i
\(691\) −12.2866 8.92670i −0.467402 0.339588i 0.329026 0.944321i \(-0.393280\pi\)
−0.796428 + 0.604733i \(0.793280\pi\)
\(692\) 0.0558720 + 0.171956i 0.00212393 + 0.00653679i
\(693\) −2.67526 + 1.94369i −0.101625 + 0.0738346i
\(694\) 19.6835 + 60.5796i 0.747175 + 2.29957i
\(695\) 9.09966 28.0059i 0.345170 1.06232i
\(696\) 11.9051 + 8.64956i 0.451262 + 0.327861i
\(697\) 5.99337 18.4457i 0.227015 0.698681i
\(698\) 12.7779 39.3264i 0.483651 1.48853i
\(699\) 4.49486 + 3.26571i 0.170011 + 0.123520i
\(700\) 1.13914 3.50591i 0.0430555 0.132511i
\(701\) 4.25071 + 13.0823i 0.160547 + 0.494113i 0.998681 0.0513522i \(-0.0163531\pi\)
−0.838134 + 0.545465i \(0.816353\pi\)
\(702\) −6.39338 + 4.64506i −0.241302 + 0.175316i
\(703\) −0.783566 2.41157i −0.0295527 0.0909540i
\(704\) −1.35117 0.981685i −0.0509243 0.0369987i
\(705\) 34.4139 + 25.0031i 1.29610 + 0.941673i
\(706\) −1.35689 + 0.985840i −0.0510673 + 0.0371026i
\(707\) 43.0319 1.61838
\(708\) −28.5144 −1.07164
\(709\) 21.6014 15.6943i 0.811257 0.589413i −0.102938 0.994688i \(-0.532824\pi\)
0.914195 + 0.405275i \(0.132824\pi\)
\(710\) 12.0435 37.0662i 0.451986 1.39107i
\(711\) 0.512098 + 1.57608i 0.0192052 + 0.0591074i
\(712\) −5.91669 −0.221737
\(713\) 30.7208 + 16.8204i 1.15050 + 0.629927i
\(714\) 17.2005 0.643712
\(715\) −1.75153 5.39064i −0.0655033 0.201599i
\(716\) −1.22123 + 3.75856i −0.0456395 + 0.140464i
\(717\) −22.6896 + 16.4850i −0.847360 + 0.615643i
\(718\) 45.9922 1.71641
\(719\) −11.1907 −0.417342 −0.208671 0.977986i \(-0.566914\pi\)
−0.208671 + 0.977986i \(0.566914\pi\)
\(720\) −6.27152 + 4.55653i −0.233726 + 0.169812i
\(721\) 29.0375 + 21.0970i 1.08141 + 0.785693i
\(722\) −15.3317 11.1391i −0.570585 0.414554i
\(723\) 7.17096 + 22.0700i 0.266691 + 0.820791i
\(724\) −8.68990 + 6.31358i −0.322958 + 0.234643i
\(725\) −2.08376 6.41317i −0.0773891 0.238179i
\(726\) 6.16682 18.9795i 0.228872 0.704397i
\(727\) −11.9698 8.69655i −0.443934 0.322537i 0.343262 0.939240i \(-0.388468\pi\)
−0.787196 + 0.616703i \(0.788468\pi\)
\(728\) 1.27316 3.91839i 0.0471865 0.145225i
\(729\) 6.02959 18.5572i 0.223318 0.687303i
\(730\) 11.9038 + 8.64860i 0.440578 + 0.320099i
\(731\) −5.40378 + 16.6311i −0.199866 + 0.615125i
\(732\) 2.51373 + 7.73648i 0.0929103 + 0.285948i
\(733\) 34.7025 25.2129i 1.28177 0.931258i 0.282162 0.959367i \(-0.408948\pi\)
0.999605 + 0.0281088i \(0.00894848\pi\)
\(734\) 15.0127 + 46.2042i 0.554127 + 1.70543i
\(735\) −4.18105 3.03771i −0.154220 0.112048i
\(736\) −27.0503 19.6532i −0.997086 0.724425i
\(737\) −5.28265 + 3.83807i −0.194589 + 0.141377i
\(738\) 9.62740 0.354390
\(739\) 39.8459 1.46575 0.732877 0.680361i \(-0.238177\pi\)
0.732877 + 0.680361i \(0.238177\pi\)
\(740\) 1.88364 1.36854i 0.0692440 0.0503087i
\(741\) −1.67180 + 5.14529i −0.0614153 + 0.189017i
\(742\) −8.83167 27.1811i −0.324221 0.997849i
\(743\) 32.4920 1.19202 0.596009 0.802978i \(-0.296752\pi\)
0.596009 + 0.802978i \(0.296752\pi\)
\(744\) 13.0244 12.2728i 0.477496 0.449943i
\(745\) −22.5202 −0.825075
\(746\) 15.2149 + 46.8266i 0.557057 + 1.71444i
\(747\) 1.03487 3.18501i 0.0378640 0.116534i
\(748\) 3.95755 2.87533i 0.144702 0.105132i
\(749\) 9.09539 0.332338
\(750\) −29.6656 −1.08323
\(751\) 37.8589 27.5061i 1.38149 1.00371i 0.384753 0.923020i \(-0.374287\pi\)
0.996739 0.0806931i \(-0.0257134\pi\)
\(752\) 35.5931 + 25.8599i 1.29795 + 0.943014i
\(753\) −41.7686 30.3467i −1.52213 1.10589i
\(754\) 2.46178 + 7.57658i 0.0896527 + 0.275923i
\(755\) 4.91816 3.57326i 0.178990 0.130044i
\(756\) −3.51263 10.8108i −0.127753 0.393184i
\(757\) −6.44528 + 19.8365i −0.234258 + 0.720971i 0.762961 + 0.646444i \(0.223745\pi\)
−0.997219 + 0.0745267i \(0.976255\pi\)
\(758\) 6.46587 + 4.69773i 0.234851 + 0.170629i
\(759\) 8.22770 25.3223i 0.298647 0.919140i
\(760\) 3.78752 11.6568i 0.137388 0.422836i
\(761\) −5.01214 3.64153i −0.181690 0.132005i 0.493223 0.869903i \(-0.335819\pi\)
−0.674913 + 0.737898i \(0.735819\pi\)
\(762\) −15.7393 + 48.4406i −0.570174 + 1.75482i
\(763\) 4.22284 + 12.9966i 0.152877 + 0.470507i
\(764\) −17.3337 + 12.5937i