Properties

Label 930.2.br.a.11.3
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.3
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(-1.35745 - 1.07579i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.62345 + 0.603659i) q^{6} +(0.0557772 + 0.530685i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.685360 + 2.92066i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(-1.35745 - 1.07579i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.62345 + 0.603659i) q^{6} +(0.0557772 + 0.530685i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.685360 + 2.92066i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(-3.26789 - 1.45496i) q^{11} +(-1.73054 - 0.0724398i) q^{12} +(-0.192024 - 0.903403i) q^{13} +(-0.217038 - 0.487475i) q^{14} +(-1.71348 - 0.252933i) q^{15} +(0.309017 - 0.951057i) q^{16} +(4.44802 - 1.98039i) q^{17} +(-1.55435 - 2.56593i) q^{18} +(6.98823 + 1.48540i) q^{19} +(0.406737 - 0.913545i) q^{20} +(0.495189 - 0.780384i) q^{21} +(3.55756 + 0.373915i) q^{22} +(-2.96422 - 2.15363i) q^{23} +(1.66822 - 0.465870i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.461793 + 0.799848i) q^{26} +(2.21167 - 4.70197i) q^{27} +(0.357053 + 0.396548i) q^{28} +(-1.61663 - 4.97546i) q^{29} +(1.70778 - 0.288942i) q^{30} +(-2.08585 + 5.16229i) q^{31} +1.00000i q^{32} +(2.87079 + 5.49060i) q^{33} +(-3.61835 + 3.25797i) q^{34} +(0.313647 + 0.431698i) q^{35} +(2.27119 + 1.96002i) q^{36} +(-6.62694 - 3.82607i) q^{37} +(-7.10522 + 0.746789i) q^{38} +(-0.711206 + 1.43290i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(7.30633 + 6.57865i) q^{41} +(-0.229801 + 0.895211i) q^{42} +(0.884595 - 4.16169i) q^{43} +(-3.49899 + 0.743733i) q^{44} +(2.05387 + 2.18669i) q^{45} +(3.48465 + 1.13223i) q^{46} +(-10.3560 - 3.36487i) q^{47} +(-1.44261 + 0.958578i) q^{48} +(6.56852 - 1.39618i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(-8.16846 - 2.09685i) q^{51} +(-0.686358 - 0.617999i) q^{52} +(0.214537 - 2.04118i) q^{53} +(-0.650438 + 5.15528i) q^{54} +(-3.55756 + 0.373915i) q^{55} +(-0.462118 - 0.266804i) q^{56} +(-7.88823 - 9.53422i) q^{57} +(3.07501 + 4.23238i) q^{58} +(5.93713 - 5.34582i) q^{59} +(-1.53491 + 0.802533i) q^{60} -2.90278i q^{61} +(0.388526 - 5.55419i) q^{62} +(-1.51172 + 0.526616i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-0.617999 - 0.686358i) q^{65} +(-4.42697 - 4.33475i) q^{66} +(-7.79547 - 13.5021i) q^{67} +(2.43448 - 4.21665i) q^{68} +(1.70694 + 6.11232i) q^{69} +(-0.431698 - 0.313647i) q^{70} +(-10.3864 - 1.09165i) q^{71} +(-2.76571 - 1.16226i) q^{72} +(6.67127 - 14.9839i) q^{73} +(7.48492 + 1.59097i) q^{74} +(-1.61039 + 0.637695i) q^{75} +(6.52669 - 2.90587i) q^{76} +(0.589851 - 1.81538i) q^{77} +(0.233605 - 1.58255i) q^{78} +(-3.95429 - 8.88148i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(-8.06056 + 4.00341i) q^{81} +(-8.98165 - 3.99889i) q^{82} +(-2.52325 + 2.80236i) q^{83} +(-0.0580817 - 0.922409i) q^{84} +(2.86191 - 3.93907i) q^{85} +(0.444734 + 4.23136i) q^{86} +(-3.15805 + 8.49311i) q^{87} +(3.09791 - 1.78858i) q^{88} +(1.09614 - 0.796391i) q^{89} +(-2.62907 - 1.44498i) q^{90} +(0.468711 - 0.152294i) q^{91} -3.66397 q^{92} +(8.38497 - 4.76364i) q^{93} +10.8890 q^{94} +(6.79469 - 2.20773i) q^{95} +(1.07579 - 1.35745i) q^{96} +(6.70459 - 4.87117i) q^{97} +(-5.81559 + 3.35763i) q^{98} +(2.00977 - 10.5416i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 + 0.309017i −0.672499 + 0.218508i
\(3\) −1.35745 1.07579i −0.783726 0.621107i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 1.62345 + 0.603659i 0.662771 + 0.246443i
\(7\) 0.0557772 + 0.530685i 0.0210818 + 0.200580i 0.999993 0.00370565i \(-0.00117955\pi\)
−0.978911 + 0.204286i \(0.934513\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) 0.685360 + 2.92066i 0.228453 + 0.973555i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) −3.26789 1.45496i −0.985307 0.438687i −0.150129 0.988666i \(-0.547969\pi\)
−0.835178 + 0.549979i \(0.814636\pi\)
\(12\) −1.73054 0.0724398i −0.499563 0.0209116i
\(13\) −0.192024 0.903403i −0.0532579 0.250559i 0.943463 0.331479i \(-0.107548\pi\)
−0.996721 + 0.0809199i \(0.974214\pi\)
\(14\) −0.217038 0.487475i −0.0580058 0.130283i
\(15\) −1.71348 0.252933i −0.442419 0.0653071i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 4.44802 1.98039i 1.07880 0.480314i 0.211135 0.977457i \(-0.432284\pi\)
0.867669 + 0.497143i \(0.165617\pi\)
\(18\) −1.55435 2.56593i −0.366364 0.604795i
\(19\) 6.98823 + 1.48540i 1.60321 + 0.340773i 0.920751 0.390150i \(-0.127577\pi\)
0.682460 + 0.730923i \(0.260910\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) 0.495189 0.780384i 0.108059 0.170294i
\(22\) 3.55756 + 0.373915i 0.758474 + 0.0797189i
\(23\) −2.96422 2.15363i −0.618082 0.449063i 0.234169 0.972196i \(-0.424763\pi\)
−0.852251 + 0.523133i \(0.824763\pi\)
\(24\) 1.66822 0.465870i 0.340524 0.0950954i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.461793 + 0.799848i 0.0905650 + 0.156863i
\(27\) 2.21167 4.70197i 0.425637 0.904894i
\(28\) 0.357053 + 0.396548i 0.0674767 + 0.0749405i
\(29\) −1.61663 4.97546i −0.300200 0.923921i −0.981425 0.191846i \(-0.938552\pi\)
0.681225 0.732074i \(-0.261448\pi\)
\(30\) 1.70778 0.288942i 0.311797 0.0527533i
\(31\) −2.08585 + 5.16229i −0.374630 + 0.927175i
\(32\) 1.00000i 0.176777i
\(33\) 2.87079 + 5.49060i 0.499740 + 0.955791i
\(34\) −3.61835 + 3.25797i −0.620541 + 0.558738i
\(35\) 0.313647 + 0.431698i 0.0530160 + 0.0729702i
\(36\) 2.27119 + 1.96002i 0.378532 + 0.326671i
\(37\) −6.62694 3.82607i −1.08946 0.629002i −0.156029 0.987752i \(-0.549869\pi\)
−0.933433 + 0.358751i \(0.883203\pi\)
\(38\) −7.10522 + 0.746789i −1.15262 + 0.121145i
\(39\) −0.711206 + 1.43290i −0.113884 + 0.229448i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) 7.30633 + 6.57865i 1.14106 + 1.02741i 0.999296 + 0.0375114i \(0.0119431\pi\)
0.141761 + 0.989901i \(0.454724\pi\)
\(42\) −0.229801 + 0.895211i −0.0354591 + 0.138134i
\(43\) 0.884595 4.16169i 0.134899 0.634652i −0.857795 0.513993i \(-0.828166\pi\)
0.992694 0.120659i \(-0.0385008\pi\)
\(44\) −3.49899 + 0.743733i −0.527492 + 0.112122i
\(45\) 2.05387 + 2.18669i 0.306173 + 0.325972i
\(46\) 3.48465 + 1.13223i 0.513783 + 0.166938i
\(47\) −10.3560 3.36487i −1.51058 0.490817i −0.567497 0.823375i \(-0.692088\pi\)
−0.943083 + 0.332558i \(0.892088\pi\)
\(48\) −1.44261 + 0.958578i −0.208223 + 0.138359i
\(49\) 6.56852 1.39618i 0.938360 0.199455i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) −8.16846 2.09685i −1.14381 0.293617i
\(52\) −0.686358 0.617999i −0.0951807 0.0857011i
\(53\) 0.214537 2.04118i 0.0294689 0.280378i −0.969857 0.243674i \(-0.921647\pi\)
0.999326 0.0367043i \(-0.0116860\pi\)
\(54\) −0.650438 + 5.15528i −0.0885133 + 0.701545i
\(55\) −3.55756 + 0.373915i −0.479701 + 0.0504186i
\(56\) −0.462118 0.266804i −0.0617531 0.0356532i
\(57\) −7.88823 9.53422i −1.04482 1.26284i
\(58\) 3.07501 + 4.23238i 0.403768 + 0.555739i
\(59\) 5.93713 5.34582i 0.772949 0.695966i −0.185053 0.982729i \(-0.559246\pi\)
0.958002 + 0.286763i \(0.0925791\pi\)
\(60\) −1.53491 + 0.802533i −0.198156 + 0.103607i
\(61\) 2.90278i 0.371663i −0.982582 0.185831i \(-0.940502\pi\)
0.982582 0.185831i \(-0.0594978\pi\)
\(62\) 0.388526 5.55419i 0.0493428 0.705383i
\(63\) −1.51172 + 0.526616i −0.190459 + 0.0663474i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −0.617999 0.686358i −0.0766534 0.0851322i
\(66\) −4.42697 4.33475i −0.544922 0.533571i
\(67\) −7.79547 13.5021i −0.952368 1.64955i −0.740280 0.672299i \(-0.765307\pi\)
−0.212088 0.977251i \(-0.568026\pi\)
\(68\) 2.43448 4.21665i 0.295224 0.511344i
\(69\) 1.70694 + 6.11232i 0.205491 + 0.735837i
\(70\) −0.431698 0.313647i −0.0515978 0.0374880i
\(71\) −10.3864 1.09165i −1.23264 0.129555i −0.534282 0.845306i \(-0.679418\pi\)
−0.698356 + 0.715751i \(0.746085\pi\)
\(72\) −2.76571 1.16226i −0.325942 0.136973i
\(73\) 6.67127 14.9839i 0.780813 1.75373i 0.134147 0.990961i \(-0.457171\pi\)
0.646666 0.762773i \(-0.276163\pi\)
\(74\) 7.48492 + 1.59097i 0.870104 + 0.184946i
\(75\) −1.61039 + 0.637695i −0.185951 + 0.0736347i
\(76\) 6.52669 2.90587i 0.748663 0.333326i
\(77\) 0.589851 1.81538i 0.0672198 0.206881i
\(78\) 0.233605 1.58255i 0.0264506 0.179188i
\(79\) −3.95429 8.88148i −0.444892 0.999245i −0.987262 0.159105i \(-0.949139\pi\)
0.542369 0.840140i \(-0.317527\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) −8.06056 + 4.00341i −0.895618 + 0.444824i
\(82\) −8.98165 3.99889i −0.991857 0.441603i
\(83\) −2.52325 + 2.80236i −0.276963 + 0.307599i −0.865537 0.500844i \(-0.833023\pi\)
0.588574 + 0.808443i \(0.299690\pi\)
\(84\) −0.0580817 0.922409i −0.00633724 0.100643i
\(85\) 2.86191 3.93907i 0.310417 0.427253i
\(86\) 0.444734 + 4.23136i 0.0479569 + 0.456279i
\(87\) −3.15805 + 8.49311i −0.338579 + 0.910557i
\(88\) 3.09791 1.78858i 0.330238 0.190663i
\(89\) 1.09614 0.796391i 0.116190 0.0844173i −0.528173 0.849137i \(-0.677123\pi\)
0.644363 + 0.764720i \(0.277123\pi\)
\(90\) −2.62907 1.44498i −0.277129 0.152315i
\(91\) 0.468711 0.152294i 0.0491343 0.0159647i
\(92\) −3.66397 −0.381996
\(93\) 8.38497 4.76364i 0.869481 0.493966i
\(94\) 10.8890 1.12311
\(95\) 6.79469 2.20773i 0.697120 0.226508i
\(96\) 1.07579 1.35745i 0.109797 0.138545i
\(97\) 6.70459 4.87117i 0.680748 0.494592i −0.192858 0.981227i \(-0.561776\pi\)
0.873606 + 0.486634i \(0.161776\pi\)
\(98\) −5.81559 + 3.35763i −0.587463 + 0.339172i
\(99\) 2.00977 10.5416i 0.201989 1.05947i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 8.20256 11.2899i 0.816185 1.12338i −0.174155 0.984718i \(-0.555719\pi\)
0.990340 0.138664i \(-0.0442807\pi\)
\(102\) 8.41662 0.529973i 0.833370 0.0524752i
\(103\) −0.782332 + 0.868867i −0.0770854 + 0.0856120i −0.780454 0.625214i \(-0.785012\pi\)
0.703368 + 0.710826i \(0.251679\pi\)
\(104\) 0.843737 + 0.375656i 0.0827352 + 0.0368361i
\(105\) 0.0386544 0.923427i 0.00377229 0.0901173i
\(106\) 0.426724 + 2.00758i 0.0414471 + 0.194993i
\(107\) 2.11595 + 4.75251i 0.204557 + 0.459442i 0.986469 0.163946i \(-0.0524223\pi\)
−0.781912 + 0.623388i \(0.785756\pi\)
\(108\) −0.974467 5.10396i −0.0937681 0.491129i
\(109\) −4.04029 + 12.4347i −0.386989 + 1.19103i 0.548038 + 0.836454i \(0.315375\pi\)
−0.935027 + 0.354577i \(0.884625\pi\)
\(110\) 3.26789 1.45496i 0.311582 0.138725i
\(111\) 4.87973 + 12.3229i 0.463163 + 1.16964i
\(112\) 0.521947 + 0.110943i 0.0493194 + 0.0104832i
\(113\) −4.91174 + 11.0319i −0.462058 + 1.03780i 0.520842 + 0.853653i \(0.325618\pi\)
−0.982899 + 0.184145i \(0.941048\pi\)
\(114\) 10.4484 + 6.62998i 0.978581 + 0.620954i
\(115\) −3.64390 0.382990i −0.339796 0.0357140i
\(116\) −4.23238 3.07501i −0.392967 0.285507i
\(117\) 2.50693 1.17999i 0.231766 0.109091i
\(118\) −3.99460 + 6.91885i −0.367733 + 0.636932i
\(119\) 1.29906 + 2.25004i 0.119085 + 0.206260i
\(120\) 1.21179 1.23757i 0.110621 0.112974i
\(121\) 1.20179 + 1.33472i 0.109254 + 0.121338i
\(122\) 0.897008 + 2.76071i 0.0812112 + 0.249943i
\(123\) −2.84077 16.7903i −0.256144 1.51393i
\(124\) 1.34683 + 5.40241i 0.120949 + 0.485151i
\(125\) 1.00000i 0.0894427i
\(126\) 1.27500 0.967990i 0.113586 0.0862354i
\(127\) 2.07482 1.86818i 0.184111 0.165774i −0.571922 0.820308i \(-0.693802\pi\)
0.756032 + 0.654534i \(0.227135\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) −5.67789 + 4.69766i −0.499911 + 0.413606i
\(130\) 0.799848 + 0.461793i 0.0701513 + 0.0405019i
\(131\) −2.06866 + 0.217425i −0.180740 + 0.0189965i −0.194466 0.980909i \(-0.562297\pi\)
0.0137261 + 0.999906i \(0.495631\pi\)
\(132\) 5.54981 + 2.75459i 0.483049 + 0.239756i
\(133\) −0.398492 + 3.79140i −0.0345537 + 0.328756i
\(134\) 11.5863 + 10.4324i 1.00091 + 0.901219i
\(135\) −0.435619 5.17786i −0.0374922 0.445639i
\(136\) −1.01231 + 4.76257i −0.0868053 + 0.408387i
\(137\) −11.3232 + 2.40681i −0.967402 + 0.205628i −0.664413 0.747366i \(-0.731318\pi\)
−0.302990 + 0.952994i \(0.597985\pi\)
\(138\) −3.51220 5.28569i −0.298979 0.449948i
\(139\) 4.29889 + 1.39679i 0.364627 + 0.118475i 0.485600 0.874181i \(-0.338601\pi\)
−0.120973 + 0.992656i \(0.538601\pi\)
\(140\) 0.507491 + 0.164894i 0.0428908 + 0.0139361i
\(141\) 10.4379 + 15.7085i 0.879031 + 1.32290i
\(142\) 10.2154 2.17135i 0.857256 0.182215i
\(143\) −0.686901 + 3.23161i −0.0574415 + 0.270241i
\(144\) 2.98950 + 0.250719i 0.249125 + 0.0208933i
\(145\) −3.88777 3.50057i −0.322862 0.290706i
\(146\) −1.71447 + 16.3121i −0.141891 + 1.35000i
\(147\) −10.4185 5.17108i −0.859300 0.426504i
\(148\) −7.61022 + 0.799866i −0.625556 + 0.0657486i
\(149\) −15.5131 8.95649i −1.27088 0.733745i −0.295729 0.955272i \(-0.595562\pi\)
−0.975154 + 0.221527i \(0.928896\pi\)
\(150\) 1.33451 1.10412i 0.108962 0.0901511i
\(151\) −10.5527 14.5246i −0.858770 1.18200i −0.981861 0.189600i \(-0.939281\pi\)
0.123091 0.992395i \(-0.460719\pi\)
\(152\) −5.30929 + 4.78051i −0.430640 + 0.387750i
\(153\) 8.83254 + 11.6339i 0.714068 + 0.940545i
\(154\) 1.90880i 0.153815i
\(155\) 0.774746 + 5.51360i 0.0622291 + 0.442863i
\(156\) 0.266862 + 1.57728i 0.0213661 + 0.126284i
\(157\) −4.78962 14.7409i −0.382253 1.17645i −0.938453 0.345406i \(-0.887741\pi\)
0.556200 0.831048i \(-0.312259\pi\)
\(158\) 6.50528 + 7.22485i 0.517532 + 0.574778i
\(159\) −2.48711 + 2.54002i −0.197240 + 0.201436i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 0.977562 1.69319i 0.0770427 0.133442i
\(162\) 6.42893 6.29832i 0.505104 0.494843i
\(163\) 6.54365 + 4.75424i 0.512538 + 0.372381i 0.813786 0.581165i \(-0.197403\pi\)
−0.301247 + 0.953546i \(0.597403\pi\)
\(164\) 9.77778 + 1.02769i 0.763516 + 0.0802488i
\(165\) 5.23148 + 3.31961i 0.407270 + 0.258431i
\(166\) 1.53378 3.44493i 0.119045 0.267378i
\(167\) 7.88557 + 1.67613i 0.610204 + 0.129703i 0.502641 0.864496i \(-0.332362\pi\)
0.107563 + 0.994198i \(0.465695\pi\)
\(168\) 0.340279 + 0.859315i 0.0262531 + 0.0662976i
\(169\) 11.0968 4.94063i 0.853602 0.380048i
\(170\) −1.50459 + 4.63066i −0.115397 + 0.355155i
\(171\) 0.451113 + 21.4283i 0.0344975 + 1.63866i
\(172\) −1.73053 3.88683i −0.131952 0.296368i
\(173\) −0.334418 1.57332i −0.0254254 0.119617i 0.963605 0.267331i \(-0.0861418\pi\)
−0.989030 + 0.147714i \(0.952808\pi\)
\(174\) 0.378970 9.05332i 0.0287296 0.686330i
\(175\) 0.487475 + 0.217038i 0.0368496 + 0.0164065i
\(176\) −2.39358 + 2.65835i −0.180423 + 0.200380i
\(177\) −13.8103 + 0.869602i −1.03805 + 0.0653633i
\(178\) −0.796391 + 1.09614i −0.0596920 + 0.0821590i
\(179\) 1.99466 + 18.9780i 0.149088 + 1.41848i 0.771719 + 0.635964i \(0.219397\pi\)
−0.622631 + 0.782516i \(0.713936\pi\)
\(180\) 2.94692 + 0.561834i 0.219651 + 0.0418766i
\(181\) 7.82137 4.51567i 0.581358 0.335647i −0.180315 0.983609i \(-0.557712\pi\)
0.761673 + 0.647962i \(0.224378\pi\)
\(182\) −0.398710 + 0.289680i −0.0295543 + 0.0214725i
\(183\) −3.12277 + 3.94039i −0.230842 + 0.291282i
\(184\) 3.48465 1.13223i 0.256892 0.0834691i
\(185\) −7.65214 −0.562596
\(186\) −6.50254 + 7.12159i −0.476789 + 0.522180i
\(187\) −17.4170 −1.27366
\(188\) −10.3560 + 3.36487i −0.755290 + 0.245409i
\(189\) 2.61862 + 0.911438i 0.190477 + 0.0662974i
\(190\) −5.77991 + 4.19935i −0.419318 + 0.304653i
\(191\) 11.0534 6.38167i 0.799795 0.461762i −0.0436045 0.999049i \(-0.513884\pi\)
0.843399 + 0.537287i \(0.180551\pi\)
\(192\) −0.603659 + 1.62345i −0.0435653 + 0.117163i
\(193\) 2.86137 + 27.2241i 0.205966 + 1.95963i 0.273377 + 0.961907i \(0.411859\pi\)
−0.0674118 + 0.997725i \(0.521474\pi\)
\(194\) −4.87117 + 6.70459i −0.349730 + 0.481362i
\(195\) 0.100530 + 1.59653i 0.00719908 + 0.114330i
\(196\) 4.49339 4.99041i 0.320956 0.356458i
\(197\) 23.2027 + 10.3305i 1.65312 + 0.736017i 0.999779 0.0210451i \(-0.00669934\pi\)
0.653343 + 0.757062i \(0.273366\pi\)
\(198\) 1.34613 + 10.6467i 0.0956652 + 0.756629i
\(199\) 1.28362 + 6.03897i 0.0909936 + 0.428091i 0.999938 + 0.0111730i \(0.00355654\pi\)
−0.908944 + 0.416918i \(0.863110\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −3.94346 + 26.7148i −0.278150 + 1.88432i
\(202\) −4.31234 + 13.2720i −0.303415 + 0.933816i
\(203\) 2.55023 1.13544i 0.178991 0.0796920i
\(204\) −7.84091 + 3.10491i −0.548974 + 0.217388i
\(205\) 9.61679 + 2.04411i 0.671666 + 0.142767i
\(206\) 0.475547 1.06810i 0.0331329 0.0744178i
\(207\) 4.25848 10.1335i 0.295984 0.704327i
\(208\) −0.918526 0.0965410i −0.0636883 0.00669391i
\(209\) −20.6756 15.0217i −1.43016 1.03907i
\(210\) 0.248592 + 0.890176i 0.0171545 + 0.0614280i
\(211\) 12.3160 21.3319i 0.847866 1.46855i −0.0352432 0.999379i \(-0.511221\pi\)
0.883109 0.469168i \(-0.155446\pi\)
\(212\) −1.02621 1.77745i −0.0704806 0.122076i
\(213\) 12.9247 + 12.6554i 0.885582 + 0.867135i
\(214\) −3.48100 3.86604i −0.237956 0.264277i
\(215\) −1.31476 4.04643i −0.0896661 0.275964i
\(216\) 2.50398 + 4.55303i 0.170375 + 0.309794i
\(217\) −2.85589 0.818990i −0.193870 0.0555967i
\(218\) 13.0746i 0.885527i
\(219\) −25.1755 + 13.1631i −1.70120 + 0.889480i
\(220\) −2.65835 + 2.39358i −0.179226 + 0.161375i
\(221\) −2.64321 3.63807i −0.177802 0.244723i
\(222\) −8.44888 10.2119i −0.567052 0.685375i
\(223\) 11.6159 + 6.70641i 0.777855 + 0.449095i 0.835670 0.549233i \(-0.185080\pi\)
−0.0578146 + 0.998327i \(0.518413\pi\)
\(224\) −0.530685 + 0.0557772i −0.0354579 + 0.00372677i
\(225\) 2.87205 + 0.866793i 0.191470 + 0.0577862i
\(226\) 1.26228 12.0098i 0.0839658 0.798881i
\(227\) −2.73661 2.46405i −0.181635 0.163545i 0.573298 0.819347i \(-0.305664\pi\)
−0.754933 + 0.655802i \(0.772330\pi\)
\(228\) −11.9858 3.07676i −0.793778 0.203763i
\(229\) −2.26195 + 10.6416i −0.149474 + 0.703219i 0.838030 + 0.545624i \(0.183707\pi\)
−0.987504 + 0.157595i \(0.949626\pi\)
\(230\) 3.58391 0.761783i 0.236316 0.0502305i
\(231\) −2.75365 + 1.82973i −0.181177 + 0.120388i
\(232\) 4.97546 + 1.61663i 0.326655 + 0.106137i
\(233\) 23.4239 + 7.61088i 1.53455 + 0.498606i 0.949867 0.312656i \(-0.101219\pi\)
0.584684 + 0.811261i \(0.301219\pi\)
\(234\) −2.01959 + 1.89693i −0.132025 + 0.124006i
\(235\) −10.6510 + 2.26394i −0.694795 + 0.147683i
\(236\) 1.66105 7.81461i 0.108125 0.508688i
\(237\) −4.18683 + 16.3102i −0.271964 + 1.05946i
\(238\) −1.93078 1.73848i −0.125154 0.112689i
\(239\) −0.491079 + 4.67230i −0.0317652 + 0.302226i 0.967092 + 0.254428i \(0.0818871\pi\)
−0.998857 + 0.0477982i \(0.984780\pi\)
\(240\) −0.770049 + 1.55146i −0.0497065 + 0.100146i
\(241\) −15.1891 + 1.59644i −0.978419 + 0.102836i −0.580217 0.814462i \(-0.697032\pi\)
−0.398202 + 0.917298i \(0.630366\pi\)
\(242\) −1.55542 0.898024i −0.0999864 0.0577272i
\(243\) 15.2487 + 3.23701i 0.978202 + 0.207655i
\(244\) −1.70621 2.34840i −0.109229 0.150341i
\(245\) 4.99041 4.49339i 0.318826 0.287072i
\(246\) 7.89021 + 15.0907i 0.503062 + 0.962145i
\(247\) 6.59842i 0.419848i
\(248\) −2.95035 4.72181i −0.187347 0.299835i
\(249\) 6.43995 1.08958i 0.408115 0.0690495i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) 7.59356 + 8.43350i 0.479301 + 0.532318i 0.933498 0.358584i \(-0.116740\pi\)
−0.454196 + 0.890902i \(0.650074\pi\)
\(252\) −0.913473 + 1.31461i −0.0575434 + 0.0828127i
\(253\) 6.55330 + 11.3507i 0.412003 + 0.713610i
\(254\) −1.39597 + 2.41790i −0.0875912 + 0.151712i
\(255\) −8.12251 + 2.26831i −0.508652 + 0.142047i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 19.0451 + 2.00172i 1.18800 + 0.124864i 0.677836 0.735213i \(-0.262918\pi\)
0.510165 + 0.860077i \(0.329585\pi\)
\(258\) 3.94834 6.22231i 0.245813 0.387384i
\(259\) 1.66080 3.73022i 0.103197 0.231785i
\(260\) −0.903403 0.192024i −0.0560267 0.0119088i
\(261\) 13.4237 8.13161i 0.830906 0.503334i
\(262\) 1.90023 0.846036i 0.117396 0.0522682i
\(263\) 2.13997 6.58614i 0.131956 0.406119i −0.863148 0.504951i \(-0.831511\pi\)
0.995104 + 0.0988319i \(0.0315106\pi\)
\(264\) −6.12940 0.904781i −0.377238 0.0556854i
\(265\) −0.834797 1.87499i −0.0512812 0.115179i
\(266\) −0.792618 3.72898i −0.0485986 0.228638i
\(267\) −2.34470 0.0981488i −0.143494 0.00600661i
\(268\) −14.2430 6.34140i −0.870031 0.387363i
\(269\) 4.02839 4.47398i 0.245615 0.272784i −0.607714 0.794156i \(-0.707913\pi\)
0.853329 + 0.521373i \(0.174580\pi\)
\(270\) 2.01435 + 4.78982i 0.122589 + 0.291499i
\(271\) −11.6934 + 16.0947i −0.710326 + 0.977681i 0.289464 + 0.957189i \(0.406523\pi\)
−0.999790 + 0.0204915i \(0.993477\pi\)
\(272\) −0.508945 4.84229i −0.0308593 0.293607i
\(273\) −0.800090 0.297503i −0.0484236 0.0180057i
\(274\) 10.0252 5.78806i 0.605645 0.349670i
\(275\) −2.89398 + 2.10260i −0.174514 + 0.126792i
\(276\) 4.97367 + 3.94166i 0.299380 + 0.237260i
\(277\) 13.1585 4.27544i 0.790615 0.256886i 0.114249 0.993452i \(-0.463554\pi\)
0.676366 + 0.736566i \(0.263554\pi\)
\(278\) −4.52012 −0.271099
\(279\) −16.5069 2.55404i −0.988241 0.152906i
\(280\) −0.533608 −0.0318892
\(281\) 4.24780 1.38019i 0.253403 0.0823355i −0.179561 0.983747i \(-0.557468\pi\)
0.432964 + 0.901411i \(0.357468\pi\)
\(282\) −14.7813 11.7142i −0.880211 0.697571i
\(283\) −10.4808 + 7.61475i −0.623019 + 0.452650i −0.853975 0.520314i \(-0.825815\pi\)
0.230956 + 0.972964i \(0.425815\pi\)
\(284\) −9.04442 + 5.22180i −0.536688 + 0.309857i
\(285\) −11.5985 4.31276i −0.687037 0.255466i
\(286\) −0.345342 3.28571i −0.0204205 0.194288i
\(287\) −3.08366 + 4.24430i −0.182023 + 0.250533i
\(288\) −2.92066 + 0.685360i −0.172102 + 0.0403852i
\(289\) 4.48773 4.98413i 0.263984 0.293184i
\(290\) 4.77923 + 2.12785i 0.280646 + 0.124952i
\(291\) −14.3415 0.600332i −0.840715 0.0351921i
\(292\) −3.41015 16.0435i −0.199564 0.938876i
\(293\) 1.18132 + 2.65329i 0.0690136 + 0.155007i 0.944759 0.327767i \(-0.106296\pi\)
−0.875745 + 0.482774i \(0.839629\pi\)
\(294\) 11.5065 + 1.69851i 0.671072 + 0.0990593i
\(295\) 2.46880 7.59818i 0.143739 0.442383i
\(296\) 6.99057 3.11240i 0.406319 0.180905i
\(297\) −14.0687 + 12.1476i −0.816348 + 0.704878i
\(298\) 17.5215 + 3.72432i 1.01500 + 0.215744i
\(299\) −1.37639 + 3.09143i −0.0795989 + 0.178782i
\(300\) −0.928002 + 1.46247i −0.0535782 + 0.0844356i
\(301\) 2.25789 + 0.237313i 0.130142 + 0.0136785i
\(302\) 14.5246 + 10.5527i 0.835797 + 0.607242i
\(303\) −23.2801 + 6.50123i −1.33741 + 0.373486i
\(304\) 3.57218 6.18719i 0.204878 0.354860i
\(305\) −1.45139 2.51388i −0.0831063 0.143944i
\(306\) −11.9953 8.33509i −0.685727 0.476485i
\(307\) −11.4054 12.6670i −0.650941 0.722943i 0.323839 0.946112i \(-0.395026\pi\)
−0.974780 + 0.223169i \(0.928360\pi\)
\(308\) −0.589851 1.81538i −0.0336099 0.103441i
\(309\) 1.99670 0.337824i 0.113588 0.0192181i
\(310\) −2.44062 5.00433i −0.138618 0.284227i
\(311\) 8.73371i 0.495243i −0.968857 0.247622i \(-0.920351\pi\)
0.968857 0.247622i \(-0.0796490\pi\)
\(312\) −0.741208 1.41762i −0.0419626 0.0802568i
\(313\) −21.8884 + 19.7084i −1.23721 + 1.11399i −0.247801 + 0.968811i \(0.579708\pi\)
−0.989406 + 0.145175i \(0.953625\pi\)
\(314\) 9.11040 + 12.5394i 0.514129 + 0.707638i
\(315\) −1.04588 + 1.21193i −0.0589289 + 0.0682843i
\(316\) −8.41949 4.86100i −0.473633 0.273452i
\(317\) −20.1882 + 2.12187i −1.13388 + 0.119176i −0.652822 0.757511i \(-0.726415\pi\)
−0.481061 + 0.876687i \(0.659748\pi\)
\(318\) 1.58047 3.18426i 0.0886284 0.178564i
\(319\) −1.95614 + 18.6114i −0.109523 + 1.04204i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) 2.24038 8.72762i 0.125046 0.487128i
\(322\) −0.406493 + 1.91240i −0.0226530 + 0.106574i
\(323\) 34.0255 7.23234i 1.89323 0.402418i
\(324\) −4.16799 + 7.97671i −0.231555 + 0.443150i
\(325\) −0.878382 0.285404i −0.0487239 0.0158313i
\(326\) −7.69252 2.49945i −0.426049 0.138432i
\(327\) 18.8616 12.5331i 1.04305 0.693080i
\(328\) −9.61679 + 2.04411i −0.530999 + 0.112867i
\(329\) 1.20806 5.68346i 0.0666023 0.313339i
\(330\) −6.00124 1.54052i −0.330358 0.0848029i
\(331\) 6.53075 + 5.88032i 0.358963 + 0.323211i 0.828804 0.559540i \(-0.189022\pi\)
−0.469841 + 0.882751i \(0.655689\pi\)
\(332\) −0.394171 + 3.75029i −0.0216330 + 0.205824i
\(333\) 6.63282 21.9773i 0.363476 1.20435i
\(334\) −8.01757 + 0.842681i −0.438702 + 0.0461094i
\(335\) −13.5021 7.79547i −0.737701 0.425912i
\(336\) −0.589168 0.712105i −0.0321417 0.0388485i
\(337\) 1.37733 + 1.89573i 0.0750280 + 0.103267i 0.844882 0.534953i \(-0.179671\pi\)
−0.769854 + 0.638221i \(0.779671\pi\)
\(338\) −9.02697 + 8.12792i −0.491003 + 0.442101i
\(339\) 18.5355 9.69136i 1.00671 0.526363i
\(340\) 4.86896i 0.264057i
\(341\) 14.3273 13.8350i 0.775865 0.749207i
\(342\) −7.05075 20.2401i −0.381261 1.09446i
\(343\) 2.26156 + 6.96037i 0.122113 + 0.375825i
\(344\) 2.84693 + 3.16183i 0.153496 + 0.170475i
\(345\) 4.53441 + 4.43996i 0.244125 + 0.239039i
\(346\) 0.804232 + 1.39297i 0.0432358 + 0.0748866i
\(347\) 9.55161 16.5439i 0.512757 0.888122i −0.487133 0.873328i \(-0.661957\pi\)
0.999891 0.0147942i \(-0.00470931\pi\)
\(348\) 2.43721 + 8.72733i 0.130648 + 0.467834i
\(349\) 18.6175 + 13.5264i 0.996572 + 0.724052i 0.961350 0.275328i \(-0.0887864\pi\)
0.0352212 + 0.999380i \(0.488786\pi\)
\(350\) −0.530685 0.0557772i −0.0283663 0.00298142i
\(351\) −4.67247 1.09514i −0.249398 0.0584542i
\(352\) 1.45496 3.26789i 0.0775497 0.174179i
\(353\) −19.9966 4.25042i −1.06431 0.226227i −0.357707 0.933834i \(-0.616442\pi\)
−0.706606 + 0.707607i \(0.749775\pi\)
\(354\) 12.8657 5.09467i 0.683804 0.270779i
\(355\) −9.54070 + 4.24779i −0.506368 + 0.225450i
\(356\) 0.418688 1.28859i 0.0221904 0.0682950i
\(357\) 0.657150 4.45183i 0.0347801 0.235616i
\(358\) −7.76155 17.4327i −0.410211 0.921348i
\(359\) 0.567143 + 2.66820i 0.0299327 + 0.140822i 0.990576 0.136961i \(-0.0437336\pi\)
−0.960644 + 0.277783i \(0.910400\pi\)
\(360\) −2.97630 + 0.376313i −0.156865 + 0.0198334i
\(361\) 29.2717 + 13.0326i 1.54061 + 0.685926i
\(362\) −6.04314 + 6.71159i −0.317621 + 0.352753i
\(363\) −0.195495 3.10470i −0.0102608 0.162954i
\(364\) 0.289680 0.398710i 0.0151833 0.0208981i
\(365\) −1.71447 16.3121i −0.0897394 0.853814i
\(366\) 1.75229 4.71252i 0.0915936 0.246327i
\(367\) −20.5506 + 11.8649i −1.07273 + 0.619343i −0.928927 0.370263i \(-0.879268\pi\)
−0.143806 + 0.989606i \(0.545934\pi\)
\(368\) −2.96422 + 2.15363i −0.154520 + 0.112266i
\(369\) −14.2066 + 25.8481i −0.739564 + 1.34560i
\(370\) 7.27761 2.36464i 0.378345 0.122932i
\(371\) 1.09519 0.0568595
\(372\) 3.98359 8.78243i 0.206540 0.455348i
\(373\) 18.2194 0.943363 0.471681 0.881769i \(-0.343647\pi\)
0.471681 + 0.881769i \(0.343647\pi\)
\(374\) 16.5646 5.38216i 0.856535 0.278305i
\(375\) −1.07579 + 1.35745i −0.0555535 + 0.0700986i
\(376\) 8.80935 6.40037i 0.454308 0.330074i
\(377\) −4.18442 + 2.41587i −0.215508 + 0.124424i
\(378\) −2.77211 0.0576300i −0.142582 0.00296417i
\(379\) −0.109845 1.04510i −0.00564235 0.0536834i 0.991338 0.131332i \(-0.0419254\pi\)
−0.996981 + 0.0776487i \(0.975259\pi\)
\(380\) 4.19935 5.77991i 0.215422 0.296503i
\(381\) −4.82623 + 0.303896i −0.247256 + 0.0155690i
\(382\) −8.54035 + 9.48502i −0.436962 + 0.485296i
\(383\) 27.3267 + 12.1666i 1.39633 + 0.621685i 0.960483 0.278337i \(-0.0897833\pi\)
0.435844 + 0.900022i \(0.356450\pi\)
\(384\) 0.0724398 1.73054i 0.00369668 0.0883110i
\(385\) −0.396862 1.86709i −0.0202259 0.0951555i
\(386\) −11.1340 25.0074i −0.566707 1.27284i
\(387\) 12.7612 0.268651i 0.648687 0.0136563i
\(388\) 2.56093 7.88172i 0.130011 0.400134i
\(389\) −7.39136 + 3.29084i −0.374757 + 0.166852i −0.585467 0.810696i \(-0.699089\pi\)
0.210711 + 0.977548i \(0.432422\pi\)
\(390\) −0.588966 1.48733i −0.0298234 0.0753139i
\(391\) −17.4499 3.70909i −0.882480 0.187577i
\(392\) −2.73134 + 6.13470i −0.137954 + 0.309849i
\(393\) 3.04202 + 1.93030i 0.153449 + 0.0973707i
\(394\) −25.2593 2.65486i −1.27255 0.133750i
\(395\) −7.86526 5.71444i −0.395744 0.287525i
\(396\) −4.57026 9.70964i −0.229664 0.487928i
\(397\) 10.1240 17.5354i 0.508111 0.880075i −0.491845 0.870683i \(-0.663677\pi\)
0.999956 0.00939159i \(-0.00298948\pi\)
\(398\) −3.08694 5.34674i −0.154734 0.268008i
\(399\) 4.61968 4.71796i 0.231273 0.236193i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −1.74782 5.37923i −0.0872819 0.268626i 0.897884 0.440233i \(-0.145104\pi\)
−0.985166 + 0.171607i \(0.945104\pi\)
\(402\) −4.50487 26.6259i −0.224683 1.32798i
\(403\) 5.06416 + 0.893078i 0.252264 + 0.0444874i
\(404\) 13.9550i 0.694288i
\(405\) −4.97895 + 7.49734i −0.247406 + 0.372546i
\(406\) −2.07455 + 1.86793i −0.102958 + 0.0927038i
\(407\) 16.0894 + 22.1451i 0.797521 + 1.09769i
\(408\) 6.49768 5.37593i 0.321683 0.266148i
\(409\) 8.36292 + 4.82833i 0.413520 + 0.238746i 0.692301 0.721609i \(-0.256597\pi\)
−0.278781 + 0.960355i \(0.589930\pi\)
\(410\) −9.77778 + 1.02769i −0.482890 + 0.0507538i
\(411\) 17.9599 + 8.91418i 0.885895 + 0.439704i
\(412\) −0.122212 + 1.16277i −0.00602096 + 0.0572856i
\(413\) 3.16810 + 2.85257i 0.155892 + 0.140366i
\(414\) −0.918629 + 10.9535i −0.0451481 + 0.538334i
\(415\) −0.784024 + 3.68854i −0.0384862 + 0.181063i
\(416\) 0.903403 0.192024i 0.0442930 0.00941476i
\(417\) −4.33289 6.52078i −0.212182 0.319324i
\(418\) 24.3057 + 7.89739i 1.18883 + 0.386274i
\(419\) −23.1426 7.51949i −1.13059 0.367351i −0.316790 0.948496i \(-0.602605\pi\)
−0.813800 + 0.581145i \(0.802605\pi\)
\(420\) −0.511505 0.769789i −0.0249589 0.0375618i
\(421\) 22.9900 4.88668i 1.12047 0.238162i 0.389801 0.920899i \(-0.372544\pi\)
0.730664 + 0.682737i \(0.239210\pi\)
\(422\) −5.12126 + 24.0937i −0.249299 + 1.17286i
\(423\) 2.73007 32.5526i 0.132741 1.58276i
\(424\) 1.52525 + 1.37334i 0.0740727 + 0.0666954i
\(425\) 0.508945 4.84229i 0.0246875 0.234886i
\(426\) −16.2028 8.04208i −0.785029 0.389640i
\(427\) 1.54046 0.161909i 0.0745481 0.00783532i
\(428\) 4.50529 + 2.60113i 0.217772 + 0.125730i
\(429\) 4.40897 3.64780i 0.212867 0.176118i
\(430\) 2.50083 + 3.44210i 0.120601 + 0.165993i
\(431\) −6.09708 + 5.48983i −0.293686 + 0.264436i −0.802781 0.596275i \(-0.796647\pi\)
0.509095 + 0.860711i \(0.329980\pi\)
\(432\) −3.78839 3.55641i −0.182269 0.171108i
\(433\) 8.78818i 0.422333i 0.977450 + 0.211166i \(0.0677262\pi\)
−0.977450 + 0.211166i \(0.932274\pi\)
\(434\) 2.96920 0.103613i 0.142526 0.00497357i
\(435\) 1.51160 + 8.93427i 0.0724758 + 0.428366i
\(436\) 4.04029 + 12.4347i 0.193495 + 0.595515i
\(437\) −17.5157 19.4531i −0.837887 0.930568i
\(438\) 19.8757 20.2985i 0.949696 0.969900i
\(439\) 3.55757 + 6.16189i 0.169794 + 0.294091i 0.938347 0.345694i \(-0.112357\pi\)
−0.768554 + 0.639785i \(0.779023\pi\)
\(440\) 1.78858 3.09791i 0.0852671 0.147687i
\(441\) 8.57958 + 18.2276i 0.408551 + 0.867979i
\(442\) 3.63807 + 2.64321i 0.173045 + 0.125725i
\(443\) 10.6857 + 1.12311i 0.507691 + 0.0533604i 0.354912 0.934900i \(-0.384511\pi\)
0.152779 + 0.988260i \(0.451178\pi\)
\(444\) 11.1910 + 7.10120i 0.531101 + 0.337008i
\(445\) 0.551088 1.23776i 0.0261241 0.0586756i
\(446\) −13.1197 2.78868i −0.621237 0.132048i
\(447\) 11.4230 + 28.8468i 0.540290 + 1.36441i
\(448\) 0.487475 0.217038i 0.0230310 0.0102541i
\(449\) −3.51712 + 10.8246i −0.165983 + 0.510843i −0.999107 0.0422426i \(-0.986550\pi\)
0.833124 + 0.553086i \(0.186550\pi\)
\(450\) −2.99934 + 0.0631426i −0.141390 + 0.00297657i
\(451\) −14.3046 32.1288i −0.673579 1.51288i
\(452\) 2.51074 + 11.8121i 0.118095 + 0.555594i
\(453\) −1.30054 + 31.0690i −0.0611047 + 1.45975i
\(454\) 3.36410 + 1.49779i 0.157885 + 0.0702949i
\(455\) 0.329769 0.366246i 0.0154598 0.0171699i
\(456\) 12.3499 0.777644i 0.578338 0.0364165i
\(457\) 5.07938 6.99117i 0.237603 0.327033i −0.673518 0.739171i \(-0.735218\pi\)
0.911122 + 0.412138i \(0.135218\pi\)
\(458\) −1.13720 10.8198i −0.0531381 0.505575i
\(459\) 0.525851 25.2944i 0.0245446 1.18064i
\(460\) −3.17309 + 1.83199i −0.147946 + 0.0854168i
\(461\) 25.5208 18.5419i 1.18862 0.863583i 0.195503 0.980703i \(-0.437366\pi\)
0.993118 + 0.117120i \(0.0373661\pi\)
\(462\) 2.05346 2.59111i 0.0955357 0.120549i
\(463\) 8.93121 2.90193i 0.415069 0.134864i −0.0940357 0.995569i \(-0.529977\pi\)
0.509104 + 0.860705i \(0.329977\pi\)
\(464\) −5.23151 −0.242867
\(465\) 4.87978 8.31792i 0.226294 0.385734i
\(466\) −24.6293 −1.14093
\(467\) −3.38397 + 1.09952i −0.156591 + 0.0508796i −0.386264 0.922388i \(-0.626235\pi\)
0.229672 + 0.973268i \(0.426235\pi\)
\(468\) 1.33457 2.42817i 0.0616904 0.112242i
\(469\) 6.73057 4.89005i 0.310789 0.225801i
\(470\) 9.43011 5.44448i 0.434979 0.251135i
\(471\) −9.35643 + 25.1627i −0.431122 + 1.15944i
\(472\) 0.835098 + 7.94543i 0.0384385 + 0.365718i
\(473\) −8.94586 + 12.3129i −0.411331 + 0.566148i
\(474\) −1.05821 16.8057i −0.0486053 0.771911i
\(475\) 4.78051 5.30929i 0.219345 0.243607i
\(476\) 2.37350 + 1.05675i 0.108789 + 0.0484360i
\(477\) 6.10865 0.772354i 0.279696 0.0353637i
\(478\) −0.976777 4.59537i −0.0446767 0.210188i
\(479\) −8.92492 20.0457i −0.407790 0.915911i −0.994364 0.106016i \(-0.966191\pi\)
0.586575 0.809895i \(-0.300476\pi\)
\(480\) 0.252933 1.71348i 0.0115448 0.0782095i
\(481\) −2.18395 + 6.72150i −0.0995794 + 0.306474i
\(482\) 13.9524 6.21201i 0.635515 0.282949i
\(483\) −3.14851 + 1.24677i −0.143262 + 0.0567302i
\(484\) 1.75680 + 0.373419i 0.0798545 + 0.0169736i
\(485\) 3.37076 7.57085i 0.153058 0.343775i
\(486\) −15.5026 + 1.63351i −0.703214 + 0.0740976i
\(487\) −30.6427 3.22068i −1.38855 0.145943i −0.619435 0.785048i \(-0.712638\pi\)
−0.769119 + 0.639105i \(0.779305\pi\)
\(488\) 2.34840 + 1.70621i 0.106307 + 0.0772365i
\(489\) −3.76814 13.4932i −0.170401 0.610185i
\(490\) −3.35763 + 5.81559i −0.151682 + 0.262721i
\(491\) −16.9919 29.4308i −0.766834 1.32820i −0.939272 0.343175i \(-0.888498\pi\)
0.172438 0.985020i \(-0.444836\pi\)
\(492\) −12.1673 11.9139i −0.548545 0.537118i
\(493\) −17.0441 18.9294i −0.767629 0.852538i
\(494\) 2.03902 + 6.27547i 0.0917401 + 0.282347i
\(495\) −3.53029 10.1342i −0.158675 0.455497i
\(496\) 4.26507 + 3.57900i 0.191507 + 0.160702i
\(497\) 5.57279i 0.249974i
\(498\) −5.78805 + 3.02631i −0.259369 + 0.135612i
\(499\) 13.0651 11.7639i 0.584876 0.526624i −0.322706 0.946499i \(-0.604593\pi\)
0.907582 + 0.419875i \(0.137926\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) −8.90113 10.7585i −0.397673 0.480653i
\(502\) −9.82800 5.67420i −0.438645 0.253252i
\(503\) −7.96026 + 0.836657i −0.354930 + 0.0373047i −0.280316 0.959908i \(-0.590439\pi\)
−0.0746143 + 0.997212i \(0.523773\pi\)
\(504\) 0.462528 1.53255i 0.0206026 0.0682651i
\(505\) 1.45870 13.8786i 0.0649112 0.617588i
\(506\) −9.74011 8.77003i −0.433001 0.389875i
\(507\) −20.3785 5.23117i −0.905041 0.232324i
\(508\) 0.580478 2.73094i 0.0257546 0.121166i
\(509\) −10.8782 + 2.31224i −0.482169 + 0.102488i −0.442582 0.896728i \(-0.645937\pi\)
−0.0395867 + 0.999216i \(0.512604\pi\)
\(510\) 7.02402 4.66728i 0.311029 0.206671i
\(511\) 8.32384 + 2.70458i 0.368225 + 0.119644i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) 22.4400 29.5733i 0.990749 1.30569i
\(514\) −18.7315 + 3.98151i −0.826213 + 0.175617i
\(515\) −0.243085 + 1.14363i −0.0107116 + 0.0503942i
\(516\) −1.83229 + 7.13787i −0.0806622 + 0.314227i
\(517\) 28.9466 + 26.0636i 1.27307 + 1.14628i
\(518\) −0.426815 + 4.06087i −0.0187532 + 0.178424i
\(519\) −1.23860 + 2.49547i −0.0543683 + 0.109539i
\(520\) 0.918526 0.0965410i 0.0402800 0.00423360i
\(521\) −35.2408 20.3463i −1.54393 0.891388i −0.998585 0.0531755i \(-0.983066\pi\)
−0.545344 0.838212i \(-0.683601\pi\)
\(522\) −10.2539 + 11.8818i −0.448800 + 0.520051i
\(523\) 12.0602 + 16.5995i 0.527357 + 0.725845i 0.986725 0.162401i \(-0.0519239\pi\)
−0.459367 + 0.888246i \(0.651924\pi\)
\(524\) −1.54578 + 1.39183i −0.0675279 + 0.0608024i
\(525\) −0.428238 0.819039i −0.0186898 0.0357458i
\(526\) 6.92508i 0.301948i
\(527\) 0.945426 + 27.0928i 0.0411834 + 1.18018i
\(528\) 6.10900 1.03359i 0.265860 0.0449812i
\(529\) −2.95893 9.10665i −0.128649 0.395941i
\(530\) 1.37334 + 1.52525i 0.0596542 + 0.0662527i
\(531\) 19.6824 + 13.6766i 0.854144 + 0.593512i
\(532\) 1.90614 + 3.30154i 0.0826417 + 0.143140i
\(533\) 4.54018 7.86382i 0.196657 0.340620i
\(534\) 2.26028 0.631209i 0.0978117 0.0273151i
\(535\) 4.20872 + 3.05781i 0.181959 + 0.132201i
\(536\) 15.5055 + 1.62970i 0.669737 + 0.0703922i
\(537\) 17.7086 27.9075i 0.764183 1.20430i
\(538\) −2.44869 + 5.49985i −0.105571 + 0.237116i
\(539\) −23.4966 4.99436i −1.01207 0.215122i
\(540\) −3.39589 3.93293i −0.146136 0.169246i
\(541\) −20.1809 + 8.98512i −0.867646 + 0.386301i −0.791772 0.610817i \(-0.790841\pi\)
−0.0758735 + 0.997117i \(0.524175\pi\)
\(542\) 6.14761 18.9204i 0.264062 0.812701i
\(543\) −15.4750 2.28432i −0.664098 0.0980297i
\(544\) 1.98039 + 4.44802i 0.0849084 + 0.190707i
\(545\) 2.71837 + 12.7889i 0.116442 + 0.547818i
\(546\) 0.852864 + 0.0357007i 0.0364992 + 0.00152785i
\(547\) 7.81794 + 3.48077i 0.334271 + 0.148827i 0.567007 0.823713i \(-0.308101\pi\)
−0.232736 + 0.972540i \(0.574768\pi\)
\(548\) −7.74594 + 8.60273i −0.330890 + 0.367491i
\(549\) 8.47804 1.98945i 0.361834 0.0849075i
\(550\) 2.10260 2.89398i 0.0896552 0.123400i
\(551\) −3.90683 37.1710i −0.166437 1.58354i
\(552\) −5.94828 2.21179i −0.253176 0.0941401i
\(553\) 4.49271 2.59387i 0.191049 0.110302i
\(554\) −11.1933 + 8.13237i −0.475556 + 0.345511i
\(555\) 10.3874 + 8.23208i 0.440921 + 0.349432i
\(556\) 4.29889 1.39679i 0.182314 0.0592373i
\(557\) −27.3110 −1.15721 −0.578603 0.815610i \(-0.696402\pi\)
−0.578603 + 0.815610i \(0.696402\pi\)
\(558\) 16.4882 2.67187i 0.698002 0.113109i
\(559\) −3.92955 −0.166202
\(560\) 0.507491 0.164894i 0.0214454 0.00696804i
\(561\) 23.6428 + 18.7371i 0.998201 + 0.791079i
\(562\) −3.61339 + 2.62529i −0.152422 + 0.110741i
\(563\) 16.7486 9.66979i 0.705868 0.407533i −0.103661 0.994613i \(-0.533056\pi\)
0.809529 + 0.587080i \(0.199723\pi\)
\(564\) 17.6777 + 6.57322i 0.744365 + 0.276782i
\(565\) 1.26228 + 12.0098i 0.0531046 + 0.505257i
\(566\) 7.61475 10.4808i 0.320072 0.440541i
\(567\) −2.57414 4.05432i −0.108104 0.170265i
\(568\) 6.98813 7.76111i 0.293216 0.325649i
\(569\) 22.0126 + 9.80062i 0.922814 + 0.410863i 0.812452 0.583028i \(-0.198132\pi\)
0.110362 + 0.993891i \(0.464799\pi\)
\(570\) 12.3636 + 0.517536i 0.517853 + 0.0216772i
\(571\) 9.43585 + 44.3922i 0.394878 + 1.85776i 0.503966 + 0.863724i \(0.331874\pi\)
−0.109087 + 0.994032i \(0.534793\pi\)
\(572\) 1.34378 + 3.01818i 0.0561863 + 0.126196i
\(573\) −21.8698 3.22827i −0.913623 0.134863i
\(574\) 1.62118 4.98947i 0.0676666 0.208256i
\(575\) −3.34721 + 1.49027i −0.139588 + 0.0621487i
\(576\) 2.56593 1.55435i 0.106914 0.0647646i
\(577\) −22.8442 4.85569i −0.951017 0.202145i −0.293817 0.955862i \(-0.594926\pi\)
−0.657199 + 0.753717i \(0.728259\pi\)
\(578\) −2.72791 + 6.12698i −0.113466 + 0.254849i
\(579\) 25.4032 40.0336i 1.05572 1.66374i
\(580\) −5.20285 0.546842i −0.216037 0.0227064i
\(581\) −1.62791 1.18274i −0.0675370 0.0490685i
\(582\) 13.8251 3.86082i 0.573069 0.160036i
\(583\) −3.67093 + 6.35823i −0.152034 + 0.263331i
\(584\) 8.20097 + 14.2045i 0.339359 + 0.587786i
\(585\) 1.58107 2.27537i 0.0653692 0.0940750i
\(586\) −1.94342 2.15838i −0.0802818 0.0891620i
\(587\) 5.48446 + 16.8794i 0.226368 + 0.696688i 0.998150 + 0.0608012i \(0.0193656\pi\)
−0.771782 + 0.635887i \(0.780634\pi\)
\(588\) −11.4682 + 1.94032i −0.472940 + 0.0800174i
\(589\) −22.2444 + 32.9770i −0.916566 + 1.35879i
\(590\) 7.98920i 0.328910i
\(591\) −20.3831 38.9843i −0.838449 1.60360i
\(592\) −5.68665 + 5.12028i −0.233720 + 0.210442i
\(593\) −9.94222 13.6843i −0.408278 0.561947i 0.554519 0.832171i \(-0.312902\pi\)
−0.962797 + 0.270224i \(0.912902\pi\)
\(594\) 9.62629 15.9006i 0.394972 0.652408i
\(595\) 2.25004 + 1.29906i 0.0922425 + 0.0532562i
\(596\) −17.8149 + 1.87242i −0.729725 + 0.0766972i
\(597\) 4.75419 9.57853i 0.194576 0.392023i
\(598\) 0.353724 3.36545i 0.0144648 0.137624i
\(599\) 28.1265 + 25.3252i 1.14922 + 1.03476i 0.998936 + 0.0461180i \(0.0146850\pi\)
0.150283 + 0.988643i \(0.451982\pi\)
\(600\) 0.430655 1.67766i 0.0175814 0.0684901i
\(601\) −4.58335 + 21.5630i −0.186959 + 0.879572i 0.780226 + 0.625498i \(0.215104\pi\)
−0.967185 + 0.254074i \(0.918229\pi\)
\(602\) −2.22071 + 0.472027i −0.0905094 + 0.0192384i
\(603\) 34.0925 32.0218i 1.38836 1.30403i
\(604\) −17.0747 5.54791i −0.694760 0.225741i
\(605\) 1.70814 + 0.555009i 0.0694459 + 0.0225643i
\(606\) 20.1317 13.3770i 0.817793 0.543403i
\(607\) 7.08341 1.50563i 0.287507 0.0611115i −0.0619007 0.998082i \(-0.519716\pi\)
0.349408 + 0.936971i \(0.386383\pi\)
\(608\) −1.48540 + 6.98823i −0.0602407 + 0.283410i
\(609\) −4.68331 1.20221i −0.189777 0.0487159i
\(610\) 2.15718 + 1.94234i 0.0873418 + 0.0786429i
\(611\) −1.05123 + 10.0018i −0.0425282 + 0.404629i
\(612\) 13.9839 + 4.22039i 0.565266 + 0.170599i
\(613\) −9.45474 + 0.993733i −0.381873 + 0.0401365i −0.293521 0.955953i \(-0.594827\pi\)
−0.0883527 + 0.996089i \(0.528160\pi\)
\(614\) 14.7615 + 8.52255i 0.595725 + 0.343942i
\(615\) −10.8553 13.1204i −0.437729 0.529066i
\(616\) 1.12196 + 1.54425i 0.0452052 + 0.0622196i
\(617\) −8.53848 + 7.68808i −0.343746 + 0.309511i −0.822862 0.568241i \(-0.807624\pi\)
0.479116 + 0.877752i \(0.340957\pi\)
\(618\) −1.79458 + 0.938303i −0.0721885 + 0.0377441i
\(619\) 10.9887i 0.441672i −0.975311 0.220836i \(-0.929121\pi\)
0.975311 0.220836i \(-0.0708785\pi\)
\(620\) 3.86759 + 4.00521i 0.155326 + 0.160853i
\(621\) −16.6822 + 9.17453i −0.669433 + 0.368161i
\(622\) 2.69886 + 8.30625i 0.108215 + 0.333050i
\(623\) 0.483772 + 0.537283i 0.0193819 + 0.0215258i
\(624\) 1.14300 + 1.11919i 0.0457566 + 0.0448034i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 14.7269 25.5077i 0.588605 1.01949i
\(627\) 11.9060 + 42.6339i 0.475480 + 1.70263i
\(628\) −12.5394 9.11040i −0.500376 0.363544i
\(629\) −37.0539 3.89452i −1.47743 0.155285i
\(630\) 0.620189 1.47581i 0.0247089 0.0587975i
\(631\) 1.81735 4.08185i 0.0723477 0.162496i −0.873751 0.486373i \(-0.838320\pi\)
0.946099 + 0.323877i \(0.104986\pi\)
\(632\) 9.50954 + 2.02132i 0.378269 + 0.0804036i
\(633\) −39.6669 + 15.7077i −1.57662 + 0.624323i
\(634\) 18.5444 8.25651i 0.736494 0.327908i
\(635\) 0.862759 2.65530i 0.0342375 0.105372i
\(636\) −0.519127 + 3.51680i −0.0205847 + 0.139450i
\(637\) −2.52263 5.66592i −0.0999502 0.224492i
\(638\) −3.89085 18.3050i −0.154040 0.724702i
\(639\) −3.93006 31.0833i −0.155471 1.22964i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) −7.79429 + 8.65644i −0.307856 + 0.341909i −0.877142 0.480231i \(-0.840553\pi\)
0.569286 + 0.822139i \(0.307220\pi\)
\(642\) 0.566252 + 8.99278i 0.0223482 + 0.354917i
\(643\) −14.3459 + 19.7454i −0.565746 + 0.778683i −0.992043 0.125901i \(-0.959818\pi\)
0.426297 + 0.904583i \(0.359818\pi\)
\(644\) −0.204366 1.94441i −0.00805316 0.0766207i
\(645\) −2.56837 + 6.90724i −0.101129 + 0.271972i
\(646\) −30.1252 + 17.3928i −1.18526 + 0.684311i
\(647\) 33.9661 24.6778i 1.33534 0.970184i 0.335743 0.941954i \(-0.391013\pi\)
0.999601 0.0282304i \(-0.00898720\pi\)
\(648\) 1.49905 8.87428i 0.0588883 0.348615i
\(649\) −27.1799 + 8.83127i −1.06690 + 0.346658i
\(650\) 0.923585 0.0362260
\(651\) 2.99568 + 4.18407i 0.117410 + 0.163987i
\(652\) 8.08839 0.316766
\(653\) −28.8170 + 9.36320i −1.12769 + 0.366410i −0.812700 0.582683i \(-0.802003\pi\)
−0.314995 + 0.949093i \(0.602003\pi\)
\(654\) −14.0655 + 17.7482i −0.550006 + 0.694010i
\(655\) −1.68280 + 1.22263i −0.0657525 + 0.0477720i
\(656\) 8.51445 4.91582i 0.332433 0.191930i
\(657\) 48.3352 + 9.21517i 1.88574 + 0.359518i
\(658\) 0.607356 + 5.77860i 0.0236772 + 0.225273i
\(659\) −9.40858 + 12.9498i −0.366506 + 0.504453i −0.951947 0.306263i \(-0.900921\pi\)
0.585441 + 0.810715i \(0.300921\pi\)
\(660\) 6.18357 0.389364i 0.240695 0.0151560i
\(661\) 21.8829 24.3034i 0.851146 0.945293i −0.147899 0.989003i \(-0.547251\pi\)
0.999044 + 0.0437095i \(0.0139176\pi\)
\(662\) −8.02823 3.57440i −0.312026 0.138923i
\(663\) −0.325755 + 7.78205i −0.0126513 + 0.302230i
\(664\) −0.784024 3.68854i −0.0304260 0.143143i
\(665\) 1.55060 + 3.48269i 0.0601295 + 0.135053i
\(666\) 0.483176 + 22.9513i 0.0187227 + 0.889346i
\(667\) −5.92328 + 18.2300i −0.229350 + 0.705867i
\(668\) 7.36476 3.27900i 0.284951 0.126868i
\(669\) −8.55330 21.5998i −0.330689 0.835098i
\(670\) 15.2502 + 3.24154i 0.589168 + 0.125231i
\(671\) −4.22343 + 9.48597i −0.163044 + 0.366202i
\(672\) 0.780384 + 0.495189i 0.0301040 + 0.0191023i
\(673\) −45.5304 4.78544i −1.75507 0.184465i −0.828348 0.560215i \(-0.810719\pi\)
−0.926721 + 0.375749i \(0.877385\pi\)
\(674\) −1.89573 1.37733i −0.0730210 0.0530528i
\(675\) −2.96619 4.26635i −0.114169 0.164212i
\(676\) 6.07350 10.5196i 0.233596 0.404600i
\(677\) 9.16902 + 15.8812i 0.352394 + 0.610364i 0.986668 0.162744i \(-0.0520344\pi\)
−0.634274 + 0.773108i \(0.718701\pi\)
\(678\) −14.6335 + 14.9448i −0.561996 + 0.573952i
\(679\) 2.95902 + 3.28632i 0.113557 + 0.126118i
\(680\) 1.50459 + 4.63066i 0.0576985 + 0.177578i
\(681\) 1.06402 + 6.28884i 0.0407733 + 0.240989i
\(682\) −9.35079 + 17.5852i −0.358060 + 0.673373i
\(683\) 3.32817i 0.127349i −0.997971 0.0636745i \(-0.979718\pi\)
0.997971 0.0636745i \(-0.0202819\pi\)
\(684\) 12.9602 + 17.0707i 0.495546 + 0.652715i
\(685\) −8.60273 + 7.74594i −0.328694 + 0.295957i
\(686\) −4.30175 5.92085i −0.164242 0.226059i
\(687\) 14.5186 12.0122i 0.553921 0.458292i
\(688\) −3.68465 2.12733i −0.140476 0.0811038i
\(689\) −1.88521 + 0.198143i −0.0718207 + 0.00754866i
\(690\) −5.68450 2.82144i −0.216405 0.107410i
\(691\) −1.35809 + 12.9214i −0.0516643 + 0.491553i 0.937842 + 0.347063i \(0.112821\pi\)
−0.989506 + 0.144490i \(0.953846\pi\)
\(692\) −1.19532 1.07627i −0.0454393 0.0409137i
\(693\) 5.70636 + 0.478572i 0.216767 + 0.0181795i
\(694\) −3.97178 + 18.6858i −0.150767 + 0.709302i
\(695\) 4.42134 0.939786i 0.167711 0.0356481i
\(696\) −5.01481 7.54704i −0.190086 0.286070i
\(697\) 45.5270 + 14.7926i 1.72446 + 0.560310i
\(698\) −21.8862 7.11125i −0.828404 0.269165i
\(699\) −23.6091 35.5306i −0.892980 1.34389i
\(700\) 0.521947 0.110943i 0.0197277 0.00419326i
\(701\) −5.32543 + 25.0542i −0.201139 + 0.946283i 0.755532 + 0.655112i \(0.227378\pi\)
−0.956671 + 0.291172i \(0.905955\pi\)
\(702\) 4.78220 0.402332i 0.180492 0.0151850i
\(703\) −40.6274 36.5811i −1.53229 1.37968i
\(704\) −0.373915 + 3.55756i −0.0140924 + 0.134081i
\(705\) 16.8938 + 8.38503i 0.636256 + 0.315799i
\(706\) 20.3314 2.13692i 0.765182 0.0804239i
\(707\) 6.44887 + 3.72325i 0.242535 + 0.140027i
\(708\) −10.6617 + 8.82104i −0.400690 + 0.331515i
\(709\) −11.3362 15.6030i −0.425741 0.585983i 0.541228 0.840876i \(-0.317960\pi\)
−0.966969 + 0.254893i \(0.917960\pi\)
\(710\) 7.76111 6.98813i 0.291269 0.262260i
\(711\) 23.2297 17.6362i 0.871182 0.661408i
\(712\) 1.35490i 0.0507771i
\(713\) 17.3006 10.8100i 0.647911 0.404838i
\(714\) 0.750705 + 4.43701i 0.0280944 + 0.166051i
\(715\) 1.02093 + 3.14211i 0.0381807 + 0.117508i
\(716\) 12.7687 + 14.1811i 0.477188 + 0.529971i
\(717\) 5.69302 5.81413i 0.212610 0.217133i
\(718\) −1.36390 2.36235i −0.0509004 0.0881621i
\(719\) 15.2004 26.3279i 0.566880 0.981864i −0.429992 0.902833i \(-0.641484\pi\)
0.996872 0.0790319i \(-0.0251829\pi\)
\(720\) 2.71435 1.27762i 0.101158 0.0476142i
\(721\) −0.504731 0.366708i −0.0187972 0.0136569i
\(722\) −31.8663 3.34928i −1.18594 0.124647i
\(723\) 22.3360 + 14.1732i 0.830685 + 0.527107i
\(724\) 3.67337 8.25054i 0.136520 0.306629i
\(725\) −5.11719 1.08769i −0.190048 0.0403959i
\(726\) 1.14533 + 2.89233i 0.0425072 + 0.107344i
\(727\) −5.87174 + 2.61427i −0.217771 + 0.0969578i −0.512723 0.858554i \(-0.671363\pi\)
0.294952 + 0.955512i \(0.404696\pi\)
\(728\) −0.152294 + 0.468711i −0.00564438 + 0.0173716i
\(729\) −17.2170 20.7984i −0.637667 0.770312i
\(730\) 6.67127 + 14.9839i 0.246915 + 0.554580i
\(731\) −4.30706 20.2631i −0.159302 0.749459i
\(732\) −0.210277 + 5.02336i −0.00777205 + 0.185669i
\(733\) −2.19460 0.977098i −0.0810593 0.0360899i 0.365807 0.930691i \(-0.380793\pi\)
−0.446866 + 0.894601i \(0.647460\pi\)
\(734\) 15.8783 17.6347i 0.586080 0.650908i
\(735\) −11.6082 + 0.730938i −0.428174 + 0.0269610i
\(736\) 2.15363 2.96422i 0.0793838 0.109262i
\(737\) 5.82968 + 55.4657i 0.214739 + 2.04310i
\(738\) 5.52375 28.9731i 0.203332 1.06651i
\(739\) 9.71635 5.60974i 0.357422 0.206358i −0.310527 0.950564i \(-0.600506\pi\)
0.667949 + 0.744207i \(0.267172\pi\)
\(740\) −6.19071 + 4.49781i −0.227575 + 0.165343i
\(741\) −7.09851 + 8.95705i −0.260770 + 0.329046i
\(742\) −1.04159 + 0.338433i −0.0382379 + 0.0124243i
\(743\) −5.98609 −0.219608 −0.109804 0.993953i \(-0.535022\pi\)
−0.109804 + 0.993953i \(0.535022\pi\)
\(744\) −1.07470 + 9.58358i −0.0394005 + 0.351351i
\(745\) −17.9130 −0.656281
\(746\) −17.3276 + 5.63009i −0.634410 + 0.206132i
\(747\) −9.91409 5.44896i −0.362737 0.199367i
\(748\) −14.0907 + 10.2375i −0.515207 + 0.374319i
\(749\) −2.40406 + 1.38798i −0.0878424 + 0.0507159i
\(750\) 0.603659 1.62345i 0.0220425 0.0592801i
\(751\) −2.20658 20.9942i −0.0805192 0.766089i −0.958056 0.286580i \(-0.907481\pi\)
0.877537 0.479509i \(-0.159185\pi\)
\(752\) −6.40037 + 8.80935i −0.233397 + 0.321244i
\(753\) −1.23524 19.6172i −0.0450147 0.714889i
\(754\) 3.23307 3.59069i 0.117742 0.130765i
\(755\) −16.4012 7.30231i −0.596902 0.265758i
\(756\) 2.65424 0.801819i 0.0965338 0.0291619i
\(757\) −2.19536 10.3284i −0.0797917 0.375390i 0.920075 0.391743i \(-0.128128\pi\)
−0.999866 + 0.0163528i \(0.994794\pi\)
\(758\) 0.427424 + 0.960009i 0.0155247 + 0.0348691i
\(759\) 3.31510 22.4580i 0.120330 0.815172i
\(760\) −2.20773 + 6.79469i −0.0800827 + 0.246469i
\(761\) 0.700532 0.311897i 0.0253943 0.0113063i −0.394000 0.919110i \(-0.628909\pi\)
0.419394 + 0.907804i \(0.362242\pi\)
\(762\) 4.49611 1.78041i 0.162877 0.0644975i
\(763\) −6.82427 1.45054i −0.247055 0.0525132i
\(764\) 5.19132 11.6599i 0.187815 0.421840i
\(765\) 13.4662 + 5.65898i 0.486870 + 0.204601i
\(766\) −29.7489 3.12673i −1.07487 0.112974i
\(767\) −5.96950 4.33709i −0.215546 0.156603i
\(768\) 0.465870 + 1.66822i 0.0168107 + 0.0601968i
\(769\) −10.1381 + 17.5598i −0.365591 + 0.633222i −0.988871 0.148777i \(-0.952466\pi\)
0.623280 + 0.781999i \(0.285800\pi\)
\(770\) 0.954399 + 1.65307i 0.0343942 + 0.0595724i
\(771\) −23.6994 23.2057i −0.853513 0.835734i
\(772\) 18.3168 + 20.3429i 0.659236 + 0.732156i
\(773\) −1.35939 4.18378i −0.0488940