Properties

Label 930.2.br.a.11.18
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 11.18
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(0.928002 + 1.46247i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.33451 + 1.10412i) q^{6} +(0.0557772 + 0.530685i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-1.27762 + 2.71435i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(0.928002 + 1.46247i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.33451 + 1.10412i) q^{6} +(0.0557772 + 0.530685i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-1.27762 + 2.71435i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(3.26789 + 1.45496i) q^{11} +(1.61039 + 0.637695i) q^{12} +(-0.192024 - 0.903403i) q^{13} +(0.217038 + 0.487475i) q^{14} +(-1.53491 - 0.802533i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-4.44802 + 1.98039i) q^{17} +(-0.376313 + 2.97630i) q^{18} +(6.98823 + 1.48540i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(-0.724348 + 0.574049i) q^{21} +(3.55756 + 0.373915i) q^{22} +(2.96422 + 2.15363i) q^{23} +(1.72863 + 0.108847i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-0.461793 - 0.799848i) q^{26} +(-5.15528 + 0.650438i) 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} +(0.904781 + 6.12940i) q^{33} +(-3.61835 + 3.25797i) q^{34} +(-0.313647 - 0.431698i) q^{35} +(0.561834 + 2.94692i) q^{36} +(-6.62694 - 3.82607i) q^{37} +(7.10522 - 0.746789i) q^{38} +(1.14300 - 1.11919i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(-7.30633 - 6.57865i) q^{41} +(-0.511505 + 0.769789i) q^{42} +(0.884595 - 4.16169i) q^{43} +(3.49899 - 0.743733i) q^{44} +(-0.250719 - 2.98950i) q^{45} +(3.48465 + 1.13223i) q^{46} +(10.3560 + 3.36487i) q^{47} +(1.67766 - 0.430655i) q^{48} +(6.56852 - 1.39618i) q^{49} +(0.207912 - 0.978148i) q^{50} +(-7.02402 - 4.66728i) q^{51} +(-0.686358 - 0.617999i) q^{52} +(-0.214537 + 2.04118i) q^{53} +(-4.70197 + 2.21167i) q^{54} +(-3.55756 + 0.373915i) q^{55} +(0.462118 + 0.266804i) q^{56} +(4.31276 + 11.5985i) q^{57} +(3.07501 + 4.23238i) q^{58} +(-5.93713 + 5.34582i) q^{59} +(-1.71348 + 0.252933i) 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} +(2.75459 + 5.54981i) q^{66} +(-7.79547 - 13.5021i) q^{67} +(-2.43448 + 4.21665i) q^{68} +(-0.398813 + 6.33364i) q^{69} +(-0.431698 - 0.313647i) q^{70} +(10.3864 + 1.09165i) q^{71} +(1.44498 + 2.62907i) q^{72} +(6.67127 - 14.9839i) q^{73} +(-7.48492 - 1.59097i) q^{74} +(1.73054 - 0.0724398i) q^{75} +(6.52669 - 2.90587i) q^{76} +(-0.589851 + 1.81538i) q^{77} +(0.741208 - 1.41762i) q^{78} +(-3.95429 - 8.88148i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-5.73536 - 6.93583i) q^{81} +(-8.98165 - 3.99889i) q^{82} +(2.52325 - 2.80236i) q^{83} +(-0.248592 + 0.890176i) q^{84} +(2.86191 - 3.93907i) q^{85} +(-0.444734 - 4.23136i) q^{86} +(-5.77622 + 6.98151i) q^{87} +(3.09791 - 1.78858i) q^{88} +(-1.09614 + 0.796391i) q^{89} +(-1.16226 - 2.76571i) q^{90} +(0.468711 - 0.152294i) q^{91} +3.66397 q^{92} +(-9.48535 + 1.74013i) q^{93} +10.8890 q^{94} +(-6.79469 + 2.20773i) q^{95} +(1.46247 - 0.928002i) q^{96} +(6.70459 - 4.87117i) q^{97} +(5.81559 - 3.35763i) q^{98} +(-8.12441 + 7.01131i) 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
\(3\) 0.928002 + 1.46247i 0.535782 + 0.844356i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 1.33451 + 1.10412i 0.544811 + 0.450755i
\(7\) 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
\(9\) −1.27762 + 2.71435i −0.425874 + 0.904782i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) 3.26789 + 1.45496i 0.985307 + 0.438687i 0.835178 0.549979i \(-0.185364\pi\)
0.150129 + 0.988666i \(0.452031\pi\)
\(12\) 1.61039 + 0.637695i 0.464879 + 0.184087i
\(13\) −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
\(15\) −1.53491 0.802533i −0.396311 0.207213i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −4.44802 + 1.98039i −1.07880 + 0.480314i −0.867669 0.497143i \(-0.834383\pi\)
−0.211135 + 0.977457i \(0.567716\pi\)
\(18\) −0.376313 + 2.97630i −0.0886977 + 0.701522i
\(19\) 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
\(21\) −0.724348 + 0.574049i −0.158066 + 0.125268i
\(22\) 3.55756 + 0.373915i 0.758474 + 0.0797189i
\(23\) 2.96422 + 2.15363i 0.618082 + 0.449063i 0.852251 0.523133i \(-0.175237\pi\)
−0.234169 + 0.972196i \(0.575237\pi\)
\(24\) 1.72863 + 0.108847i 0.352855 + 0.0222184i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −0.461793 0.799848i −0.0905650 0.156863i
\(27\) −5.15528 + 0.650438i −0.992134 + 0.125177i
\(28\) 0.357053 + 0.396548i 0.0674767 + 0.0749405i
\(29\) 1.61663 + 4.97546i 0.300200 + 0.923921i 0.981425 + 0.191846i \(0.0614476\pi\)
−0.681225 + 0.732074i \(0.738552\pi\)
\(30\) −1.70778 0.288942i −0.311797 0.0527533i
\(31\) −2.08585 + 5.16229i −0.374630 + 0.927175i
\(32\) 1.00000i 0.176777i
\(33\) 0.904781 + 6.12940i 0.157502 + 1.06699i
\(34\) −3.61835 + 3.25797i −0.620541 + 0.558738i
\(35\) −0.313647 0.431698i −0.0530160 0.0729702i
\(36\) 0.561834 + 2.94692i 0.0936390 + 0.491153i
\(37\) −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
\(39\) 1.14300 1.11919i 0.183026 0.179214i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) −7.30633 6.57865i −1.14106 1.02741i −0.999296 0.0375114i \(-0.988057\pi\)
−0.141761 0.989901i \(-0.545276\pi\)
\(42\) −0.511505 + 0.769789i −0.0789269 + 0.118781i
\(43\) 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
\(45\) −0.250719 2.98950i −0.0373750 0.445649i
\(46\) 3.48465 + 1.13223i 0.513783 + 0.166938i
\(47\) 10.3560 + 3.36487i 1.51058 + 0.490817i 0.943083 0.332558i \(-0.107912\pi\)
0.567497 + 0.823375i \(0.307912\pi\)
\(48\) 1.67766 0.430655i 0.242149 0.0621597i
\(49\) 6.56852 1.39618i 0.938360 0.199455i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) −7.02402 4.66728i −0.983560 0.653550i
\(52\) −0.686358 0.617999i −0.0951807 0.0857011i
\(53\) −0.214537 + 2.04118i −0.0294689 + 0.280378i 0.969857 + 0.243674i \(0.0783526\pi\)
−0.999326 + 0.0367043i \(0.988314\pi\)
\(54\) −4.70197 + 2.21167i −0.639857 + 0.300971i
\(55\) −3.55756 + 0.373915i −0.479701 + 0.0504186i
\(56\) 0.462118 + 0.266804i 0.0617531 + 0.0356532i
\(57\) 4.31276 + 11.5985i 0.571238 + 1.53626i
\(58\) 3.07501 + 4.23238i 0.403768 + 0.555739i
\(59\) −5.93713 + 5.34582i −0.772949 + 0.695966i −0.958002 0.286763i \(-0.907421\pi\)
0.185053 + 0.982729i \(0.440754\pi\)
\(60\) −1.71348 + 0.252933i −0.221210 + 0.0326535i
\(61\) 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
\(66\) 2.75459 + 5.54981i 0.339066 + 0.683134i
\(67\) −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
\(69\) −0.398813 + 6.33364i −0.0480115 + 0.762481i
\(70\) −0.431698 0.313647i −0.0515978 0.0374880i
\(71\) 10.3864 + 1.09165i 1.23264 + 0.129555i 0.698356 0.715751i \(-0.253915\pi\)
0.534282 + 0.845306i \(0.320582\pi\)
\(72\) 1.44498 + 2.62907i 0.170293 + 0.309839i
\(73\) 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
\(75\) 1.73054 0.0724398i 0.199825 0.00836463i
\(76\) 6.52669 2.90587i 0.748663 0.333326i
\(77\) −0.589851 + 1.81538i −0.0672198 + 0.206881i
\(78\) 0.741208 1.41762i 0.0839252 0.160514i
\(79\) −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
\(81\) −5.73536 6.93583i −0.637262 0.770647i
\(82\) −8.98165 3.99889i −0.991857 0.441603i
\(83\) 2.52325 2.80236i 0.276963 0.307599i −0.588574 0.808443i \(-0.700310\pi\)
0.865537 + 0.500844i \(0.166977\pi\)
\(84\) −0.248592 + 0.890176i −0.0271236 + 0.0971262i
\(85\) 2.86191 3.93907i 0.310417 0.427253i
\(86\) −0.444734 4.23136i −0.0479569 0.456279i
\(87\) −5.77622 + 6.98151i −0.619276 + 0.748496i
\(88\) 3.09791 1.78858i 0.330238 0.190663i
\(89\) −1.09614 + 0.796391i −0.116190 + 0.0844173i −0.644363 0.764720i \(-0.722877\pi\)
0.528173 + 0.849137i \(0.322877\pi\)
\(90\) −1.16226 2.76571i −0.122513 0.291532i
\(91\) 0.468711 0.152294i 0.0491343 0.0159647i
\(92\) 3.66397 0.381996
\(93\) −9.48535 + 1.74013i −0.983585 + 0.180443i
\(94\) 10.8890 1.12311
\(95\) −6.79469 + 2.20773i −0.697120 + 0.226508i
\(96\) 1.46247 0.928002i 0.149262 0.0947138i
\(97\) 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
\(99\) −8.12441 + 7.01131i −0.816534 + 0.704663i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −8.20256 + 11.2899i −0.816185 + 1.12338i 0.174155 + 0.984718i \(0.444281\pi\)
−0.990340 + 0.138664i \(0.955719\pi\)
\(102\) −8.12251 2.26831i −0.804249 0.224596i
\(103\) −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
\(105\) 0.340279 0.859315i 0.0332078 0.0838605i
\(106\) 0.426724 + 2.00758i 0.0414471 + 0.194993i
\(107\) −2.11595 4.75251i −0.204557 0.459442i 0.781912 0.623388i \(-0.214244\pi\)
−0.986469 + 0.163946i \(0.947578\pi\)
\(108\) −3.78839 + 3.55641i −0.364538 + 0.342216i
\(109\) −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
\(111\) −0.554319 13.2423i −0.0526136 1.25690i
\(112\) 0.521947 + 0.110943i 0.0493194 + 0.0104832i
\(113\) 4.91174 11.0319i 0.462058 1.03780i −0.520842 0.853653i \(-0.674382\pi\)
0.982899 0.184145i \(-0.0589516\pi\)
\(114\) 7.68581 + 9.69813i 0.719842 + 0.908313i
\(115\) −3.64390 0.382990i −0.339796 0.0357140i
\(116\) 4.23238 + 3.07501i 0.392967 + 0.285507i
\(117\) 2.69748 + 0.632988i 0.249382 + 0.0585198i
\(118\) −3.99460 + 6.91885i −0.367733 + 0.636932i
\(119\) −1.29906 2.25004i −0.119085 0.206260i
\(120\) −1.55146 + 0.770049i −0.141628 + 0.0702955i
\(121\) 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
\(126\) −1.60047 0.0336934i −0.142581 0.00300165i
\(127\) 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
\(129\) 6.90724 2.56837i 0.608149 0.226132i
\(130\) 0.799848 + 0.461793i 0.0701513 + 0.0405019i
\(131\) 2.06866 0.217425i 0.180740 0.0189965i −0.0137261 0.999906i \(-0.504369\pi\)
0.194466 + 0.980909i \(0.437703\pi\)
\(132\) 4.33475 + 4.42697i 0.377292 + 0.385318i
\(133\) −0.398492 + 3.79140i −0.0345537 + 0.328756i
\(134\) −11.5863 10.4324i −1.00091 0.901219i
\(135\) 4.13939 3.14094i 0.356262 0.270329i
\(136\) −1.01231 + 4.76257i −0.0868053 + 0.408387i
\(137\) 11.3232 2.40681i 0.967402 0.205628i 0.302990 0.952994i \(-0.402015\pi\)
0.664413 + 0.747366i \(0.268682\pi\)
\(138\) 1.57791 + 6.14689i 0.134321 + 0.523258i
\(139\) 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
\(141\) 4.68939 + 18.2679i 0.394918 + 1.53844i
\(142\) 10.2154 2.17135i 0.857256 0.182215i
\(143\) 0.686901 3.23161i 0.0574415 0.270241i
\(144\) 2.18669 + 2.05387i 0.182224 + 0.171156i
\(145\) −3.88777 3.50057i −0.322862 0.290706i
\(146\) 1.71447 16.3121i 0.141891 1.35000i
\(147\) 8.13747 + 8.31059i 0.671167 + 0.685446i
\(148\) −7.61022 + 0.799866i −0.625556 + 0.0657486i
\(149\) 15.5131 + 8.95649i 1.27088 + 0.733745i 0.975154 0.221527i \(-0.0711043\pi\)
0.295729 + 0.955272i \(0.404438\pi\)
\(150\) 1.62345 0.603659i 0.132554 0.0492886i
\(151\) −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
\(153\) 0.307439 14.6037i 0.0248550 1.18064i
\(154\) 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
\(159\) −3.18426 + 1.58047i −0.252528 + 0.125339i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −0.977562 + 1.69319i −0.0770427 + 0.133442i
\(162\) −7.59794 4.82404i −0.596950 0.379012i
\(163\) 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
\(165\) −3.84826 4.85582i −0.299587 0.378025i
\(166\) 1.53378 3.44493i 0.119045 0.267378i
\(167\) −7.88557 1.67613i −0.610204 0.129703i −0.107563 0.994198i \(-0.534305\pi\)
−0.502641 + 0.864496i \(0.667638\pi\)
\(168\) 0.0386544 + 0.923427i 0.00298225 + 0.0712440i
\(169\) 11.0968 4.94063i 0.853602 0.380048i
\(170\) 1.50459 4.63066i 0.115397 0.355155i
\(171\) −12.9602 + 17.0707i −0.991092 + 1.30543i
\(172\) −1.73053 3.88683i −0.131952 0.296368i
\(173\) 0.334418 + 1.57332i 0.0254254 + 0.119617i 0.989030 0.147714i \(-0.0471916\pi\)
−0.963605 + 0.267331i \(0.913858\pi\)
\(174\) −3.33611 + 8.42476i −0.252910 + 0.638679i
\(175\) 0.487475 + 0.217038i 0.0368496 + 0.0164065i
\(176\) 2.39358 2.65835i 0.180423 0.200380i
\(177\) −13.3278 3.72193i −1.00178 0.279757i
\(178\) −0.796391 + 1.09614i −0.0596920 + 0.0821590i
\(179\) −1.99466 18.9780i −0.149088 1.41848i −0.771719 0.635964i \(-0.780603\pi\)
0.622631 0.782516i \(-0.286064\pi\)
\(180\) −1.96002 2.27119i −0.146091 0.169285i
\(181\) 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
\(183\) 4.24522 2.69378i 0.313816 0.199130i
\(184\) 3.48465 1.13223i 0.256892 0.0834691i
\(185\) 7.65214 0.562596
\(186\) −8.48338 + 4.58610i −0.622032 + 0.336269i
\(187\) −17.4170 −1.27366
\(188\) 10.3560 3.36487i 0.755290 0.245409i
\(189\) −0.632724 2.69955i −0.0460239 0.196363i
\(190\) −5.77991 + 4.19935i −0.419318 + 0.304653i
\(191\) −11.0534 + 6.38167i −0.799795 + 0.461762i −0.843399 0.537287i \(-0.819449\pi\)
0.0436045 + 0.999049i \(0.486116\pi\)
\(192\) 1.10412 1.33451i 0.0796831 0.0963100i
\(193\) 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
\(195\) −0.430271 + 1.54075i −0.0308124 + 0.110335i
\(196\) 4.49339 4.99041i 0.320956 0.356458i
\(197\) −23.2027 10.3305i −1.65312 0.736017i −0.653343 0.757062i \(-0.726634\pi\)
−0.999779 + 0.0210451i \(0.993301\pi\)
\(198\) −5.56016 + 9.17873i −0.395143 + 0.652304i
\(199\) 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
\(201\) 12.5122 23.9306i 0.882545 1.68794i
\(202\) −4.31234 + 13.2720i −0.303415 + 0.933816i
\(203\) −2.55023 + 1.13544i −0.178991 + 0.0796920i
\(204\) −8.42591 + 0.352707i −0.589932 + 0.0246944i
\(205\) 9.61679 + 2.04411i 0.671666 + 0.142767i
\(206\) −0.475547 + 1.06810i −0.0331329 + 0.0744178i
\(207\) −9.63285 + 5.29439i −0.669529 + 0.367985i
\(208\) −0.918526 0.0965410i −0.0636883 0.00669391i
\(209\) 20.6756 + 15.0217i 1.43016 + 1.03907i
\(210\) 0.0580817 0.922409i 0.00400802 0.0636523i
\(211\) 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
\(213\) 8.04208 + 16.2028i 0.551035 + 1.11020i
\(214\) −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
\(219\) 28.1044 4.14859i 1.89912 0.280336i
\(220\) −2.65835 + 2.39358i −0.179226 + 0.161375i
\(221\) 2.64321 + 3.63807i 0.177802 + 0.244723i
\(222\) −4.61928 12.4229i −0.310026 0.833769i
\(223\) 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
\(225\) 1.71188 + 2.46363i 0.114125 + 0.164242i
\(226\) 1.26228 12.0098i 0.0839658 0.798881i
\(227\) 2.73661 + 2.46405i 0.181635 + 0.163545i 0.754933 0.655802i \(-0.227670\pi\)
−0.573298 + 0.819347i \(0.694336\pi\)
\(228\) 10.3065 + 6.84842i 0.682567 + 0.453548i
\(229\) −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
\(231\) −3.20231 + 0.822034i −0.210697 + 0.0540859i
\(232\) 4.97546 + 1.61663i 0.326655 + 0.106137i
\(233\) −23.4239 7.61088i −1.53455 0.498606i −0.584684 0.811261i \(-0.698781\pi\)
−0.949867 + 0.312656i \(0.898781\pi\)
\(234\) 2.76106 0.231561i 0.180496 0.0151376i
\(235\) −10.6510 + 2.26394i −0.694795 + 0.147683i
\(236\) −1.66105 + 7.81461i −0.108125 + 0.508688i
\(237\) 9.31929 14.0251i 0.605353 0.911025i
\(238\) −1.93078 1.73848i −0.125154 0.112689i
\(239\) 0.491079 4.67230i 0.0317652 0.302226i −0.967092 0.254428i \(-0.918113\pi\)
0.998857 0.0477982i \(-0.0152205\pi\)
\(240\) −1.23757 + 1.21179i −0.0798846 + 0.0782205i
\(241\) −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
\(243\) 4.82100 14.8242i 0.309267 0.950975i
\(244\) −1.70621 2.34840i −0.109229 0.150341i
\(245\) −4.99041 + 4.49339i −0.318826 + 0.287072i
\(246\) −2.48675 16.8463i −0.158549 1.07408i
\(247\) 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 0.454196 0.890902i \(-0.349926\pi\)
−0.933498 + 0.358584i \(0.883260\pi\)
\(252\) −1.53255 + 0.462528i −0.0965415 + 0.0291365i
\(253\) 6.55330 + 11.3507i 0.412003 + 0.713610i
\(254\) 1.39597 2.41790i 0.0875912 0.151712i
\(255\) 8.41662 + 0.529973i 0.527069 + 0.0331882i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −19.0451 2.00172i −1.18800 0.124864i −0.510165 0.860077i \(-0.670415\pi\)
−0.677836 + 0.735213i \(0.737082\pi\)
\(258\) 5.77551 4.57712i 0.359567 0.284959i
\(259\) 1.66080 3.73022i 0.103197 0.231785i
\(260\) 0.903403 + 0.192024i 0.0560267 + 0.0119088i
\(261\) −15.5706 1.96868i −0.963794 0.121859i
\(262\) 1.90023 0.846036i 0.117396 0.0522682i
\(263\) −2.13997 + 6.58614i −0.131956 + 0.406119i −0.995104 0.0988319i \(-0.968489\pi\)
0.863148 + 0.504951i \(0.168489\pi\)
\(264\) 5.49060 + 2.87079i 0.337923 + 0.176685i
\(265\) −0.834797 1.87499i −0.0512812 0.115179i
\(266\) 0.792618 + 3.72898i 0.0485986 + 0.228638i
\(267\) −2.18192 0.864014i −0.133531 0.0528768i
\(268\) −14.2430 6.34140i −0.870031 0.387363i
\(269\) −4.02839 + 4.47398i −0.245615 + 0.272784i −0.853329 0.521373i \(-0.825420\pi\)
0.607714 + 0.794156i \(0.292087\pi\)
\(270\) 2.96619 4.26635i 0.180516 0.259642i
\(271\) −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
\(273\) 0.657690 + 0.544147i 0.0398052 + 0.0329332i
\(274\) 10.0252 5.78806i 0.605645 0.349670i
\(275\) 2.89398 2.10260i 0.174514 0.126792i
\(276\) 3.40018 + 5.35844i 0.204667 + 0.322540i
\(277\) 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
\(279\) −11.3473 12.2572i −0.679346 0.733818i
\(280\) −0.533608 −0.0318892
\(281\) −4.24780 + 1.38019i −0.253403 + 0.0823355i −0.432964 0.901411i \(-0.642532\pi\)
0.179561 + 0.983747i \(0.442532\pi\)
\(282\) 10.1050 + 15.9247i 0.601743 + 0.948305i
\(283\) −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
\(285\) −9.53422 7.88823i −0.564758 0.467259i
\(286\) −0.345342 3.28571i −0.0204205 0.194288i
\(287\) 3.08366 4.24430i 0.182023 0.250533i
\(288\) 2.71435 + 1.27762i 0.159944 + 0.0752847i
\(289\) 4.48773 4.98413i 0.263984 0.293184i
\(290\) −4.77923 2.12785i −0.280646 0.124952i
\(291\) 13.3458 + 5.28479i 0.782345 + 0.309800i
\(292\) −3.41015 16.0435i −0.199564 0.938876i
\(293\) −1.18132 2.65329i −0.0690136 0.155007i 0.875745 0.482774i \(-0.160371\pi\)
−0.944759 + 0.327767i \(0.893704\pi\)
\(294\) 10.3073 + 5.38922i 0.601134 + 0.314306i
\(295\) 2.46880 7.59818i 0.143739 0.442383i
\(296\) −6.99057 + 3.11240i −0.406319 + 0.180905i
\(297\) −17.7933 5.37517i −1.03247 0.311899i
\(298\) 17.5215 + 3.72432i 1.01500 + 0.215744i
\(299\) 1.37639 3.09143i 0.0795989 0.178782i
\(300\) 1.35745 1.07579i 0.0783726 0.0621107i
\(301\) 2.25789 + 0.237313i 0.130142 + 0.0136785i
\(302\) −14.5246 10.5527i −0.835797 0.607242i
\(303\) −24.1230 1.51897i −1.38583 0.0872623i
\(304\) 3.57218 6.18719i 0.204878 0.354860i
\(305\) 1.45139 + 2.51388i 0.0831063 + 0.143944i
\(306\) −4.22039 13.9839i −0.241263 0.799407i
\(307\) −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 \(0.0796490\pi\)
−0.968857 + 0.247622i \(0.920351\pi\)
\(312\) −0.233605 1.58255i −0.0132253 0.0895941i
\(313\) −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
\(315\) 1.57250 0.299799i 0.0886003 0.0168918i
\(316\) −8.41949 4.86100i −0.473633 0.273452i
\(317\) 20.1882 2.12187i 1.13388 0.119176i 0.481061 0.876687i \(-0.340252\pi\)
0.652822 + 0.757511i \(0.273585\pi\)
\(318\) −2.54002 + 2.48711i −0.142437 + 0.139470i
\(319\) −1.95614 + 18.6114i −0.109523 + 1.04204i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 4.98678 7.50485i 0.278335 0.418880i
\(322\) −0.406493 + 1.91240i −0.0226530 + 0.106574i
\(323\) −34.0255 + 7.23234i −1.89323 + 0.402418i
\(324\) −8.71678 2.24004i −0.484265 0.124447i
\(325\) −0.878382 0.285404i −0.0487239 0.0158313i
\(326\) 7.69252 + 2.49945i 0.426049 + 0.138432i
\(327\) −21.9348 + 5.63066i −1.21300 + 0.311376i
\(328\) −9.61679 + 2.04411i −0.530999 + 0.112867i
\(329\) −1.20806 + 5.68346i −0.0666023 + 0.313339i
\(330\) −5.16045 3.42898i −0.284073 0.188759i
\(331\) 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
\(333\) 18.8520 13.0996i 1.03308 0.717851i
\(334\) −8.01757 + 0.842681i −0.438702 + 0.0461094i
\(335\) 13.5021 + 7.79547i 0.737701 + 0.425912i
\(336\) 0.322117 + 0.866287i 0.0175729 + 0.0472598i
\(337\) 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
\(339\) 20.6920 3.05441i 1.12383 0.165893i
\(340\) 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
\(345\) −2.82144 5.68450i −0.151901 0.306043i
\(346\) 0.804232 + 1.39297i 0.0432358 + 0.0748866i
\(347\) −9.55161 + 16.5439i −0.512757 + 0.888122i 0.487133 + 0.873328i \(0.338043\pi\)
−0.999891 + 0.0147942i \(0.995291\pi\)
\(348\) −0.569436 + 9.04334i −0.0305250 + 0.484774i
\(349\) 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
\(351\) 1.57755 + 4.53240i 0.0842032 + 0.241921i
\(352\) 1.45496 3.26789i 0.0775497 0.174179i
\(353\) 19.9966 + 4.25042i 1.06431 + 0.226227i 0.706606 0.707607i \(-0.250225\pi\)
0.357707 + 0.933834i \(0.383558\pi\)
\(354\) −13.8256 + 0.578736i −0.734822 + 0.0307595i
\(355\) −9.54070 + 4.24779i −0.506368 + 0.225450i
\(356\) −0.418688 + 1.28859i −0.0221904 + 0.0682950i
\(357\) 2.08507 3.98787i 0.110354 0.211060i
\(358\) −7.76155 17.4327i −0.410211 0.921348i
\(359\) −0.567143 2.66820i −0.0299327 0.140822i 0.960644 0.277783i \(-0.0895997\pi\)
−0.990576 + 0.136961i \(0.956266\pi\)
\(360\) −2.56593 1.55435i −0.135236 0.0819215i
\(361\) 29.2717 + 13.0326i 1.54061 + 0.685926i
\(362\) 6.04314 6.71159i 0.317621 0.352753i
\(363\) −0.836726 + 2.99621i −0.0439167 + 0.157260i
\(364\) 0.289680 0.398710i 0.0151833 0.0208981i
\(365\) 1.71447 + 16.3121i 0.0897394 + 0.853814i
\(366\) 3.20502 3.87379i 0.167529 0.202486i
\(367\) −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
\(369\) 27.1915 11.4269i 1.41553 0.594860i
\(370\) 7.27761 2.36464i 0.378345 0.122932i
\(371\) −1.09519 −0.0568595
\(372\) −6.65099 + 6.98315i −0.344838 + 0.362059i
\(373\) 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
\(375\) −1.46247 + 0.928002i −0.0755215 + 0.0479218i
\(376\) 8.80935 6.40037i 0.454308 0.330074i
\(377\) 4.18442 2.41587i 0.215508 0.124424i
\(378\) −1.43596 2.37190i −0.0738580 0.121997i
\(379\) −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
\(381\) 4.65759 + 1.30069i 0.238615 + 0.0666361i
\(382\) −8.54035 + 9.48502i −0.436962 + 0.485296i
\(383\) −27.3267 12.1666i −1.39633 0.621685i −0.435844 0.900022i \(-0.643550\pi\)
−0.960483 + 0.278337i \(0.910217\pi\)
\(384\) 0.637695 1.61039i 0.0325422 0.0821797i
\(385\) −0.396862 1.86709i −0.0202259 0.0951555i
\(386\) 11.1340 + 25.0074i 0.566707 + 1.27284i
\(387\) 10.1661 + 7.71817i 0.516771 + 0.392337i
\(388\) 2.56093 7.88172i 0.130011 0.400134i
\(389\) 7.39136 3.29084i 0.374757 0.166852i −0.210711 0.977548i \(-0.567578\pi\)
0.585467 + 0.810696i \(0.300911\pi\)
\(390\) 0.0669043 + 1.59830i 0.00338783 + 0.0809329i
\(391\) −17.4499 3.70909i −0.882480 0.187577i
\(392\) 2.73134 6.13470i 0.137954 0.309849i
\(393\) 2.23770 + 2.82358i 0.112877 + 0.142431i
\(394\) −25.2593 2.65486i −1.27255 0.133750i
\(395\) 7.86526 + 5.71444i 0.395744 + 0.287525i
\(396\) −2.45164 + 10.4477i −0.123199 + 0.525015i
\(397\) 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
\(399\) −5.91460 + 2.93565i −0.296100 + 0.146966i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 1.74782 + 5.37923i 0.0872819 + 0.268626i 0.985166 0.171607i \(-0.0548959\pi\)
−0.897884 + 0.440233i \(0.854896\pi\)
\(402\) 4.50487 26.6259i 0.224683 1.32798i
\(403\) 5.06416 + 0.893078i 0.252264 + 0.0444874i
\(404\) 13.9550i 0.694288i
\(405\) 8.43488 + 3.13892i 0.419132 + 0.155974i
\(406\) −2.07455 + 1.86793i −0.102958 + 0.0927038i
\(407\) −16.0894 22.1451i −0.797521 1.09769i
\(408\) −7.90453 + 2.93919i −0.391332 + 0.145512i
\(409\) 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
\(411\) 14.0278 + 14.3262i 0.691940 + 0.706660i
\(412\) −0.122212 + 1.16277i −0.00602096 + 0.0572856i
\(413\) −3.16810 2.85257i −0.155892 0.140366i
\(414\) −7.52533 + 8.01197i −0.369850 + 0.393767i
\(415\) −0.784024 + 3.68854i −0.0384862 + 0.181063i
\(416\) −0.903403 + 0.192024i −0.0442930 + 0.00941476i
\(417\) 1.94661 + 7.58322i 0.0953261 + 0.371352i
\(418\) 24.3057 + 7.89739i 1.18883 + 0.386274i
\(419\) 23.1426 + 7.51949i 1.13059 + 0.367351i 0.813800 0.581145i \(-0.197395\pi\)
0.316790 + 0.948496i \(0.397395\pi\)
\(420\) −0.229801 0.895211i −0.0112131 0.0436818i
\(421\) 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
\(423\) −22.3645 + 23.8108i −1.08740 + 1.15772i
\(424\) 1.52525 + 1.37334i 0.0740727 + 0.0666954i
\(425\) −0.508945 + 4.84229i −0.0246875 + 0.234886i
\(426\) 12.6554 + 12.9247i 0.613157 + 0.626201i
\(427\) 1.54046 0.161909i 0.0745481 0.00783532i
\(428\) −4.50529 2.60113i −0.217772 0.125730i
\(429\) 5.36358 1.99437i 0.258956 0.0962893i
\(430\) 2.50083 + 3.44210i 0.120601 + 0.165993i
\(431\) 6.09708 5.48983i 0.293686 0.264436i −0.509095 0.860711i \(-0.670020\pi\)
0.802781 + 0.596275i \(0.203353\pi\)
\(432\) −0.974467 + 5.10396i −0.0468841 + 0.245564i
\(433\) 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
\(438\) 25.4469 12.6303i 1.21590 0.603499i
\(439\) 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
\(441\) −4.60237 + 19.6130i −0.219160 + 0.933954i
\(442\) 3.63807 + 2.64321i 0.173045 + 0.125725i
\(443\) −10.6857 1.12311i −0.507691 0.0533604i −0.152779 0.988260i \(-0.548822\pi\)
−0.354912 + 0.934900i \(0.615489\pi\)
\(444\) −8.23208 10.3874i −0.390677 0.492965i
\(445\) 0.551088 1.23776i 0.0261241 0.0586756i
\(446\) 13.1197 + 2.78868i 0.621237 + 0.132048i
\(447\) 1.29761 + 30.9991i 0.0613750 + 1.46621i
\(448\) 0.487475 0.217038i 0.0230310 0.0102541i
\(449\) 3.51712 10.8246i 0.165983 0.510843i −0.833124 0.553086i \(-0.813450\pi\)
0.999107 + 0.0422426i \(0.0134503\pi\)
\(450\) 2.38940 + 1.81405i 0.112637 + 0.0855151i
\(451\) −14.3046 32.1288i −0.673579 1.51288i
\(452\) −2.51074 11.8121i −0.118095 0.555594i
\(453\) 11.4488 28.9119i 0.537911 1.35840i
\(454\) 3.36410 + 1.49779i 0.157885 + 0.0702949i
\(455\) −0.329769 + 0.366246i −0.0154598 + 0.0171699i
\(456\) 11.9184 + 3.32834i 0.558129 + 0.155864i
\(457\) 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
\(459\) 21.6427 13.1026i 1.01019 0.611577i
\(460\) −3.17309 + 1.83199i −0.147946 + 0.0854168i
\(461\) −25.5208 + 18.5419i −1.18862 + 0.863583i −0.993118 0.117120i \(-0.962634\pi\)
−0.195503 + 0.980703i \(0.562634\pi\)
\(462\) −2.79156 + 1.77137i −0.129875 + 0.0824116i
\(463\) 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
\(465\) 7.34449 6.24967i 0.340593 0.289822i
\(466\) −24.6293 −1.14093
\(467\) 3.38397 1.09952i 0.156591 0.0508796i −0.229672 0.973268i \(-0.573765\pi\)
0.386264 + 0.922388i \(0.373765\pi\)
\(468\) 2.55437 1.07344i 0.118076 0.0496199i
\(469\) 6.73057 4.89005i 0.310789 0.225801i
\(470\) −9.43011 + 5.44448i −0.434979 + 0.251135i
\(471\) 17.1134 20.6843i 0.788542 0.953081i
\(472\) 0.835098 + 7.94543i 0.0384385 + 0.365718i
\(473\) 8.94586 12.3129i 0.411331 0.566148i
\(474\) 4.52919 16.2184i 0.208033 0.744938i
\(475\) 4.78051 5.30929i 0.219345 0.243607i
\(476\) −2.37350 1.05675i −0.108789 0.0484360i
\(477\) −5.26638 3.19019i −0.241131 0.146069i
\(478\) −0.976777 4.59537i −0.0446767 0.210188i
\(479\) 8.92492 + 20.0457i 0.407790 + 0.915911i 0.994364 + 0.106016i \(0.0338094\pi\)
−0.586575 + 0.809895i \(0.699524\pi\)
\(480\) −0.802533 + 1.53491i −0.0366305 + 0.0700586i
\(481\) −2.18395 + 6.72150i −0.0995794 + 0.306474i
\(482\) −13.9524 + 6.21201i −0.635515 + 0.282949i
\(483\) −3.38341 + 0.141629i −0.153951 + 0.00644433i
\(484\) 1.75680 + 0.373419i 0.0798545 + 0.0169736i
\(485\) −3.37076 + 7.57085i −0.153058 + 0.343775i
\(486\) 0.00409761 15.5885i 0.000185871 0.707107i
\(487\) −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
\(489\) −0.880399 + 13.9818i −0.0398130 + 0.632280i
\(490\) −3.35763 + 5.81559i −0.151682 + 0.262721i
\(491\) 16.9919 + 29.4308i 0.766834 + 1.32820i 0.939272 + 0.343175i \(0.111502\pi\)
−0.172438 + 0.985020i \(0.555164\pi\)
\(492\) −7.57084 15.2534i −0.341320 0.687675i
\(493\) −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
\(498\) 6.46145 0.953797i 0.289545 0.0427407i
\(499\) 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
\(501\) −4.86654 13.0878i −0.217421 0.584722i
\(502\) −9.82800 5.67420i −0.438645 0.253252i
\(503\) 7.96026 0.836657i 0.354930 0.0373047i 0.0746143 0.997212i \(-0.476227\pi\)
0.280316 + 0.959908i \(0.409561\pi\)
\(504\) −1.31461 + 0.913473i −0.0585574 + 0.0406893i
\(505\) 1.45870 13.8786i 0.0649112 0.617588i
\(506\) 9.74011 + 8.77003i 0.433001 + 0.389875i
\(507\) 17.5234 + 11.6438i 0.778241 + 0.517121i
\(508\) 0.580478 2.73094i 0.0257546 0.121166i
\(509\) 10.8782 2.31224i 0.482169 0.102488i 0.0395867 0.999216i \(-0.487396\pi\)
0.442582 + 0.896728i \(0.354063\pi\)
\(510\) 8.16846 2.09685i 0.361705 0.0928499i
\(511\) 8.32384 + 2.70458i 0.368225 + 0.119644i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) −36.9925 3.11222i −1.63326 0.137408i
\(514\) −18.7315 + 3.98151i −0.826213 + 0.175617i
\(515\) 0.243085 1.14363i 0.0107116 0.0503942i
\(516\) 4.07843 6.13783i 0.179543 0.270203i
\(517\) 28.9466 + 26.0636i 1.27307 + 1.14628i
\(518\) 0.426815 4.06087i 0.0187532 0.178424i
\(519\) −1.99058 + 1.94912i −0.0873768 + 0.0855567i
\(520\) 0.918526 0.0965410i 0.0402800 0.00423360i
\(521\) 35.2408 + 20.3463i 1.54393 + 0.891388i 0.998585 + 0.0531755i \(0.0169343\pi\)
0.545344 + 0.838212i \(0.316399\pi\)
\(522\) −15.4169 + 2.93924i −0.674777 + 0.128647i
\(523\) 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
\(525\) 0.134967 + 0.914328i 0.00589045 + 0.0399045i
\(526\) 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
\(531\) −6.92498 22.9454i −0.300519 0.995744i
\(532\) 1.90614 + 3.30154i 0.0826417 + 0.143140i
\(533\) −4.54018 + 7.86382i −0.196657 + 0.340620i
\(534\) −2.34212 0.147477i −0.101353 0.00638197i
\(535\) 4.20872 + 3.05781i 0.181959 + 0.132201i
\(536\) −15.5055 1.62970i −0.669737 0.0703922i
\(537\) 25.9036 20.5287i 1.11782 0.885880i
\(538\) −2.44869 + 5.49985i −0.105571 + 0.237116i
\(539\) 23.4966 + 4.99436i 1.01207 + 0.215122i
\(540\) 1.50264 4.97414i 0.0646632 0.214053i
\(541\) −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
\(543\) 13.8623 + 7.24794i 0.594887 + 0.311039i
\(544\) 1.98039 + 4.44802i 0.0849084 + 0.190707i
\(545\) −2.71837 12.7889i −0.116442 0.547818i
\(546\) 0.793651 + 0.314277i 0.0339651 + 0.0134498i
\(547\) 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
\(549\) 7.87914 + 3.70866i 0.336274 + 0.158282i
\(550\) 2.10260 2.89398i 0.0896552 0.123400i
\(551\) 3.90683 + 37.1710i 0.166437 + 1.58354i
\(552\) 4.88961 + 4.04547i 0.208116 + 0.172187i
\(553\) 4.49271 2.59387i 0.191049 0.110302i
\(554\) 11.1933 8.13237i 0.475556 0.345511i
\(555\) 7.10120 + 11.1910i 0.301429 + 0.475032i
\(556\) 4.29889 1.39679i 0.182314 0.0592373i
\(557\) 27.3110 1.15721 0.578603 0.815610i \(-0.303598\pi\)
0.578603 + 0.815610i \(0.303598\pi\)
\(558\) −14.5796 8.15076i −0.617204 0.345049i
\(559\) −3.92955 −0.166202
\(560\) −0.507491 + 0.164894i −0.0214454 + 0.00696804i
\(561\) −16.1631 25.4719i −0.682405 1.07542i
\(562\) −3.61339 + 2.62529i −0.152422 + 0.110741i
\(563\) −16.7486 + 9.66979i −0.705868 + 0.407533i −0.809529 0.587080i \(-0.800277\pi\)
0.103661 + 0.994613i \(0.466944\pi\)
\(564\) 14.5314 + 12.0227i 0.611883 + 0.506248i
\(565\) 1.26228 + 12.0098i 0.0531046 + 0.505257i
\(566\) −7.61475 + 10.4808i −0.320072 + 0.440541i
\(567\) 3.36083 3.43053i 0.141142 0.144069i
\(568\) 6.98813 7.76111i 0.293216 0.325649i
\(569\) −22.0126 9.80062i −0.922814 0.410863i −0.110362 0.993891i \(-0.535201\pi\)
−0.812452 + 0.583028i \(0.801868\pi\)
\(570\) −11.5052 4.55592i −0.481899 0.190827i
\(571\) 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
\(573\) −19.5906 10.2430i −0.818407 0.427908i
\(574\) 1.62118 4.98947i 0.0676666 0.208256i
\(575\) 3.34721 1.49027i 0.139588 0.0621487i
\(576\) 2.97630 + 0.376313i 0.124013 + 0.0156797i
\(577\) −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
\(579\) −37.1590 + 29.4487i −1.54427 + 1.22384i
\(580\) −5.20285 0.546842i −0.216037 0.0227064i
\(581\) 1.62791 + 1.18274i 0.0675370 + 0.0490685i
\(582\) 14.3257 + 0.902053i 0.593820 + 0.0373913i
\(583\) −3.67093 + 6.35823i −0.152034 + 0.263331i
\(584\) −8.20097 14.2045i −0.339359 0.587786i
\(585\) −2.65258 + 0.800558i −0.109671 + 0.0330990i
\(586\) −1.94342 2.15838i −0.0802818 0.0891620i
\(587\) −5.48446 16.8794i −0.226368 0.696688i −0.998150 0.0608012i \(-0.980634\pi\)
0.771782 0.635887i \(-0.219366\pi\)
\(588\) 11.4682 + 1.94032i 0.472940 + 0.0800174i
\(589\) −22.2444 + 32.9770i −0.916566 + 1.35879i
\(590\) 7.98920i 0.328910i
\(591\) −6.42412 43.5199i −0.264253 1.79017i
\(592\) −5.68665 + 5.12028i −0.233720 + 0.210442i
\(593\) 9.94222 + 13.6843i 0.408278 + 0.561947i 0.962797 0.270224i \(-0.0870979\pi\)
−0.554519 + 0.832171i \(0.687098\pi\)
\(594\) −18.5834 + 0.386335i −0.762488 + 0.0158515i
\(595\) 2.25004 + 1.29906i 0.0922425 + 0.0532562i
\(596\) 17.8149 1.87242i 0.729725 0.0766972i
\(597\) −7.64059 + 7.48143i −0.312709 + 0.306195i
\(598\) 0.353724 3.36545i 0.0144648 0.137624i
\(599\) −28.1265 25.3252i −1.14922 1.03476i −0.998936 0.0461180i \(-0.985315\pi\)
−0.150283 0.988643i \(-0.548018\pi\)
\(600\) 0.958578 1.44261i 0.0391338 0.0588944i
\(601\) −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
\(603\) 46.6092 3.90895i 1.89807 0.159185i
\(604\) −17.0747 5.54791i −0.694760 0.225741i
\(605\) −1.70814 0.555009i −0.0694459 0.0225643i
\(606\) −23.4118 + 6.00980i −0.951037 + 0.244132i
\(607\) 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
\(609\) −4.02716 2.67594i −0.163189 0.108435i
\(610\) 2.15718 + 1.94234i 0.0873418 + 0.0786429i
\(611\) 1.05123 10.0018i 0.0425282 0.404629i
\(612\) −8.33509 11.9953i −0.336926 0.484882i
\(613\) −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
\(615\) 5.93496 + 15.9612i 0.239321 + 0.643617i
\(616\) 1.12196 + 1.54425i 0.0452052 + 0.0622196i
\(617\) 8.53848 7.68808i 0.343746 0.309511i −0.479116 0.877752i \(-0.659043\pi\)
0.822862 + 0.568241i \(0.192376\pi\)
\(618\) −2.00336 + 0.295723i −0.0805871 + 0.0118957i
\(619\) 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
\(624\) −0.711206 1.43290i −0.0284710 0.0573621i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −14.7269 + 25.5077i −0.588605 + 1.01949i
\(627\) −2.78175 + 44.1776i −0.111092 + 1.76428i
\(628\) −12.5394 9.11040i −0.500376 0.363544i
\(629\) 37.0539 + 3.89452i 1.47743 + 0.155285i
\(630\) 1.40289 0.771055i 0.0558926 0.0307196i
\(631\) 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
\(633\) 42.6264 1.78433i 1.69425 0.0709208i
\(634\) 18.5444 8.25651i 0.736494 0.327908i
\(635\) −0.862759 + 2.65530i −0.0342375 + 0.105372i
\(636\) −1.64714 + 3.15029i −0.0653134 + 0.124917i
\(637\) −2.52263 5.66592i −0.0999502 0.224492i
\(638\) 3.89085 + 18.3050i 0.154040 + 0.724702i
\(639\) −16.2330 + 26.7975i −0.642168 + 1.06009i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) 7.79429 8.65644i 0.307856 0.341909i −0.569286 0.822139i \(-0.692780\pi\)
0.877142 + 0.480231i \(0.159447\pi\)
\(642\) 2.42358 8.67853i 0.0956512 0.342514i
\(643\) −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
\(645\) −4.69766 + 5.67789i −0.184970 + 0.223567i
\(646\) −30.1252 + 17.3928i −1.18526 + 0.684311i
\(647\) −33.9661 + 24.6778i −1.33534 + 0.970184i −0.335743 + 0.941954i \(0.608987\pi\)
−0.999601 + 0.0282304i \(0.991013\pi\)
\(648\) −8.98236 + 0.563226i −0.352860 + 0.0221256i
\(649\) −27.1799 + 8.83127i −1.06690 + 0.346658i
\(650\) −0.923585 −0.0362260
\(651\) −1.45253 4.93667i −0.0569290 0.193483i
\(652\) 8.08839 0.316766
\(653\) 28.8170 9.36320i 1.12769 0.366410i 0.314995 0.949093i \(-0.397997\pi\)
0.812700 + 0.582683i \(0.197997\pi\)
\(654\) −19.1212 + 12.1333i −0.747700 + 0.474450i
\(655\) −1.68280 + 1.22263i −0.0657525 + 0.0477720i
\(656\) −8.51445 + 4.91582i −0.332433 + 0.191930i
\(657\) 32.1482 + 37.2519i 1.25422 + 1.45334i
\(658\) 0.607356 + 5.77860i 0.0236772 + 0.225273i
\(659\) 9.40858 12.9498i 0.366506 0.504453i −0.585441 0.810715i \(-0.699079\pi\)
0.951947 + 0.306263i \(0.0990786\pi\)
\(660\) −5.96749 1.66649i −0.232284 0.0648681i
\(661\) 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
\(663\) −2.86765 + 7.24175i −0.111370 + 0.281246i
\(664\) −0.784024 3.68854i −0.0304260 0.143143i
\(665\) −1.55060 3.48269i −0.0601295 0.135053i
\(666\) 13.8813 18.2840i 0.537891 0.708491i
\(667\) −5.92328 + 18.2300i −0.229350 + 0.705867i
\(668\) −7.36476 + 3.27900i −0.284951 + 0.126868i
\(669\) 0.971622 + 23.2114i 0.0375651 + 0.897404i
\(670\) 15.2502 + 3.24154i 0.589168 + 0.125231i
\(671\) 4.22343 9.48597i 0.163044 0.366202i
\(672\) 0.574049 + 0.724348i 0.0221444 + 0.0279423i
\(673\) −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
\(675\) −2.01435 + 4.78982i −0.0775322 + 0.184360i
\(676\) 6.07350 10.5196i 0.233596 0.404600i
\(677\) −9.16902 15.8812i −0.352394 0.610364i 0.634274 0.773108i \(-0.281299\pi\)
−0.986668 + 0.162744i \(0.947966\pi\)
\(678\) 18.7354 9.29909i 0.719527 0.357129i
\(679\) 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 \(0.0202819\pi\)
−0.997971 + 0.0636745i \(0.979718\pi\)
\(684\) −0.451113 + 21.4283i −0.0172488 + 0.819332i
\(685\) −8.60273 + 7.74594i −0.328694 + 0.295957i
\(686\) 4.30175 + 5.92085i 0.164242 + 0.226059i
\(687\) −17.6621 + 6.56744i −0.673853 + 0.250563i
\(688\) −3.68465 2.12733i −0.140476 0.0811038i
\(689\) 1.88521 0.198143i 0.0718207 0.00754866i
\(690\) −4.43996 4.53441i −0.169026 0.172622i
\(691\) −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
\(693\) −4.17395 3.92043i −0.158555 0.148925i
\(694\) −3.97178 + 18.6858i −0.150767 + 0.709302i
\(695\) −4.42134 + 0.939786i −0.167711 + 0.0356481i
\(696\) 2.25298 + 8.77669i 0.0853989 + 0.332680i
\(697\) 45.5270 + 14.7926i 1.72446 + 0.560310i
\(698\) 21.8862 + 7.11125i 0.828404 + 0.269165i
\(699\) −10.6068 41.3196i −0.401184 1.56285i
\(700\) 0.521947 0.110943i 0.0197277 0.00419326i
\(701\) 5.32543 25.0542i 0.201139 0.946283i −0.755532 0.655112i \(-0.772622\pi\)
0.956671 0.291172i \(-0.0940451\pi\)
\(702\) 2.90092 + 3.82308i 0.109488 + 0.144293i
\(703\) −40.6274 36.5811i −1.53229 1.37968i
\(704\) 0.373915 3.55756i 0.0140924 0.134081i
\(705\) −13.1951 13.4758i −0.496956 0.507528i
\(706\) 20.3314 2.13692i 0.765182 0.0804239i
\(707\) −6.44887 3.72325i −0.242535 0.140027i
\(708\) −12.9701 + 4.82275i −0.487445 + 0.181250i
\(709\) −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
\(711\) 29.1595 + 0.613872i 1.09357 + 0.0230220i
\(712\) 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
\(717\) 7.28881 3.61772i 0.272206 0.135106i
\(718\) −1.36390 2.36235i −0.0509004 0.0881621i
\(719\) −15.2004 + 26.3279i −0.566880 + 0.981864i 0.429992 + 0.902833i \(0.358516\pi\)
−0.996872 + 0.0790319i \(0.974817\pi\)
\(720\) −2.92066 0.685360i −0.108847 0.0255418i
\(721\) −0.504731 0.366708i −0.0187972 0.0136569i
\(722\) 31.8663 + 3.34928i 1.18594 + 0.124647i
\(723\) −16.4303 20.7321i −0.611050 0.771036i
\(724\) 3.67337 8.25054i 0.136520 0.306629i
\(725\) 5.11719 + 1.08769i 0.190048 + 0.0403959i
\(726\) 0.130105 + 3.10812i 0.00482866 + 0.115353i
\(727\) −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
\(729\) 26.1539 6.70638i 0.968662 0.248384i
\(730\) 6.67127 + 14.9839i 0.246915 + 0.554580i
\(731\) 4.30706 + 20.2631i 0.159302 + 0.749459i
\(732\) 1.85109 4.67459i 0.0684181 0.172778i
\(733\) −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
\(735\) −11.2025 3.12844i −0.413212 0.115394i
\(736\) 2.15363 2.96422i 0.0793838 0.109262i
\(737\) −5.82968 55.4657i −0.214739 2.04310i
\(738\) 22.3295 19.2702i 0.821961 0.709347i
\(739\) 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
\(741\) 9.64998 6.12335i 0.354501 0.224947i
\(742\) −1.04159 + 0.338433i −0.0382379 + 0.0124243i
\(743\) 5.98609 0.219608 0.109804 0.993953i \(-0.464978\pi\)
0.109804 + 0.993953i \(0.464978\pi\)
\(744\) −4.16756 + 8.69664i −0.152790 + 0.318834i
\(745\) −17.9130 −0.656281
\(746\) 17.3276 5.63009i 0.634410 0.206132i
\(747\) 4.38280 + 10.4293i 0.160358 + 0.381590i
\(748\) −14.0907 + 10.2375i −0.515207 + 0.374319i
\(749\) 2.40406 1.38798i 0.0878424 0.0507159i
\(750\) −1.10412 + 1.33451i −0.0403168 + 0.0487294i
\(751\) −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
\(753\) 5.28688 18.9316i 0.192665 0.689908i
\(754\) 3.23307 3.59069i 0.117742 0.130765i
\(755\) 16.4012 + 7.30231i 0.596902 + 0.265758i
\(756\) −2.09864 1.81208i −0.0763268 0.0659045i
\(757\) −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
\(759\) −10.5185 + 20.1174i −0.381797 + 0.730216i
\(760\) −2.20773 + 6.79469i −0.0800827 + 0.246469i
\(761\) −0.700532 + 0.311897i −0.0253943 + 0.0113063i −0.419394 0.907804i \(-0.637758\pi\)
0.394000 + 0.919110i \(0.371091\pi\)
\(762\) 4.83156 0.202248i 0.175029 0.00732667i
\(763\) −6.82427 1.45054i −0.247055 0.0525132i
\(764\) −5.19132 + 11.6599i −0.187815 + 0.421840i
\(765\) 7.03558 + 12.8009i 0.254372 + 0.462816i
\(766\) −29.7489 3.12673i −1.07487 0.112974i
\(767\) 5.96950 + 4.33709i 0.215546 + 0.156603i
\(768\) 0.108847 1.72863i 0.00392769 0.0623765i
\(769\) −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
\(771\) −14.7464 29.7104i −0.531080 1.07000i
\(772\) 18.3168 + 20.3429i 0.659236 + 0.732156i
\(773\) 1.35939 + 4.18378i 0.0488940 + 0.150480i 0.972523 0.232808i \(-0.0747915\pi\)
−0.923629