Properties

Label 770.2.bv.a.3.15
Level $770$
Weight $2$
Character 770.3
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 3.15
Character \(\chi\) \(=\) 770.3
Dual form 770.2.bv.a.257.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.933580 + 0.358368i) q^{2} +(0.874801 - 0.568102i) q^{3} +(0.743145 - 0.669131i) q^{4} +(-0.233574 - 2.22384i) q^{5} +(-0.613107 + 0.843870i) q^{6} +(-2.62366 - 0.341186i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(-0.777674 + 1.74668i) q^{9} +O(q^{10})\) \(q+(-0.933580 + 0.358368i) q^{2} +(0.874801 - 0.568102i) q^{3} +(0.743145 - 0.669131i) q^{4} +(-0.233574 - 2.22384i) q^{5} +(-0.613107 + 0.843870i) q^{6} +(-2.62366 - 0.341186i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(-0.777674 + 1.74668i) q^{9} +(1.01501 + 1.99242i) q^{10} +(-1.70843 + 2.84276i) q^{11} +(0.269969 - 1.00754i) q^{12} +(0.0349206 - 0.220480i) q^{13} +(2.57167 - 0.621711i) q^{14} +(-1.46770 - 1.81272i) q^{15} +(0.104528 - 0.994522i) q^{16} +(-3.37203 - 1.29440i) q^{17} +(0.100065 - 1.90936i) q^{18} +(-2.63932 + 2.93126i) q^{19} +(-1.66162 - 1.49634i) q^{20} +(-2.48901 + 1.19204i) q^{21} +(0.576206 - 3.26619i) q^{22} +(0.473144 - 1.76580i) q^{23} +(0.109032 + 1.03737i) q^{24} +(-4.89089 + 1.03886i) q^{25} +(0.0464117 + 0.218350i) q^{26} +(0.801507 + 5.06051i) q^{27} +(-2.17806 + 1.50202i) q^{28} +(5.85718 + 1.90311i) q^{29} +(2.01983 + 1.16634i) q^{30} +(-4.88913 + 0.513868i) q^{31} +(0.258819 + 0.965926i) q^{32} +(0.120439 + 3.45741i) q^{33} +3.61194 q^{34} +(-0.145924 + 5.91428i) q^{35} +(0.590835 + 1.81840i) q^{36} +(0.472864 - 0.728146i) q^{37} +(1.41355 - 3.68242i) q^{38} +(-0.0947066 - 0.212714i) q^{39} +(2.08749 + 0.801484i) q^{40} +(-11.9022 + 3.86725i) q^{41} +(1.89650 - 2.00484i) q^{42} +(8.91946 + 8.91946i) q^{43} +(0.632563 + 3.25574i) q^{44} +(4.06598 + 1.32144i) q^{45} +(0.191087 + 1.81807i) q^{46} +(-5.41486 + 0.283781i) q^{47} +(-0.473549 - 0.929392i) q^{48} +(6.76718 + 1.79031i) q^{49} +(4.19374 - 2.72260i) q^{50} +(-3.68521 + 0.783316i) q^{51} +(-0.121579 - 0.187215i) q^{52} +(7.52398 - 9.29134i) q^{53} +(-2.56180 - 4.43716i) q^{54} +(6.72087 + 3.13528i) q^{55} +(1.49512 - 2.18280i) q^{56} +(-0.643623 + 4.06368i) q^{57} +(-6.15016 + 0.322316i) q^{58} +(-3.67061 - 4.07663i) q^{59} +(-2.30366 - 0.365032i) q^{60} +(-1.83333 - 0.192691i) q^{61} +(4.38024 - 2.23184i) q^{62} +(2.63630 - 4.31737i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(-0.498467 - 0.0261593i) q^{65} +(-1.35146 - 3.18461i) q^{66} +(-0.133324 - 0.497574i) q^{67} +(-3.37203 + 1.29440i) q^{68} +(-0.589247 - 1.81352i) q^{69} +(-1.98326 - 5.57375i) q^{70} +(-1.54572 - 1.12303i) q^{71} +(-1.20325 - 1.48589i) q^{72} +(-13.1903 - 0.691276i) q^{73} +(-0.180512 + 0.849243i) q^{74} +(-3.68837 + 3.68732i) q^{75} +3.94440i q^{76} +(5.45225 - 6.87553i) q^{77} +(0.164646 + 0.164646i) q^{78} +(-5.96218 + 13.3913i) q^{79} +(-2.23607 - 0.000159995i) q^{80} +(-0.262050 - 0.291036i) q^{81} +(9.72574 - 7.87575i) q^{82} +(-6.12892 + 0.970725i) q^{83} +(-1.05207 + 2.55133i) q^{84} +(-2.09092 + 7.80118i) q^{85} +(-11.5235 - 5.13059i) q^{86} +(6.20502 - 1.66263i) q^{87} +(-1.75730 - 2.81281i) q^{88} +(-3.16453 - 5.48113i) q^{89} +(-4.26948 + 0.223448i) q^{90} +(-0.166844 + 0.566550i) q^{91} +(-0.829935 - 1.62884i) q^{92} +(-3.98508 + 3.22706i) q^{93} +(4.95351 - 2.20545i) q^{94} +(7.13512 + 5.18475i) q^{95} +(0.775160 + 0.697957i) q^{96} +(-0.105332 - 0.0166830i) q^{97} +(-6.95930 + 0.753741i) q^{98} +(-3.63679 - 5.19483i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.933580 + 0.358368i −0.660141 + 0.253404i
\(3\) 0.874801 0.568102i 0.505067 0.327994i −0.266828 0.963744i \(-0.585976\pi\)
0.771895 + 0.635750i \(0.219309\pi\)
\(4\) 0.743145 0.669131i 0.371572 0.334565i
\(5\) −0.233574 2.22384i −0.104457 0.994529i
\(6\) −0.613107 + 0.843870i −0.250300 + 0.344508i
\(7\) −2.62366 0.341186i −0.991650 0.128956i
\(8\) −0.453990 + 0.891007i −0.160510 + 0.315018i
\(9\) −0.777674 + 1.74668i −0.259225 + 0.582228i
\(10\) 1.01501 + 1.99242i 0.320975 + 0.630060i
\(11\) −1.70843 + 2.84276i −0.515112 + 0.857123i
\(12\) 0.269969 1.00754i 0.0779334 0.290851i
\(13\) 0.0349206 0.220480i 0.00968523 0.0611501i −0.982372 0.186935i \(-0.940145\pi\)
0.992058 + 0.125784i \(0.0401448\pi\)
\(14\) 2.57167 0.621711i 0.687307 0.166159i
\(15\) −1.46770 1.81272i −0.378958 0.468042i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) −3.37203 1.29440i −0.817838 0.313939i −0.0867572 0.996229i \(-0.527650\pi\)
−0.731081 + 0.682291i \(0.760984\pi\)
\(18\) 0.100065 1.90936i 0.0235857 0.450041i
\(19\) −2.63932 + 2.93126i −0.605502 + 0.672478i −0.965478 0.260484i \(-0.916118\pi\)
0.359977 + 0.932961i \(0.382785\pi\)
\(20\) −1.66162 1.49634i −0.371548 0.334592i
\(21\) −2.48901 + 1.19204i −0.543146 + 0.260124i
\(22\) 0.576206 3.26619i 0.122848 0.696354i
\(23\) 0.473144 1.76580i 0.0986574 0.368194i −0.898891 0.438172i \(-0.855626\pi\)
0.997549 + 0.0699776i \(0.0222928\pi\)
\(24\) 0.109032 + 1.03737i 0.0222560 + 0.211752i
\(25\) −4.89089 + 1.03886i −0.978177 + 0.207772i
\(26\) 0.0464117 + 0.218350i 0.00910209 + 0.0428220i
\(27\) 0.801507 + 5.06051i 0.154250 + 0.973896i
\(28\) −2.17806 + 1.50202i −0.411614 + 0.283855i
\(29\) 5.85718 + 1.90311i 1.08765 + 0.353399i 0.797338 0.603533i \(-0.206241\pi\)
0.290312 + 0.956932i \(0.406241\pi\)
\(30\) 2.01983 + 1.16634i 0.368769 + 0.212944i
\(31\) −4.88913 + 0.513868i −0.878113 + 0.0922934i −0.532847 0.846212i \(-0.678878\pi\)
−0.345266 + 0.938505i \(0.612211\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) 0.120439 + 3.45741i 0.0209657 + 0.601858i
\(34\) 3.61194 0.619442
\(35\) −0.145924 + 5.91428i −0.0246657 + 0.999696i
\(36\) 0.590835 + 1.81840i 0.0984725 + 0.303067i
\(37\) 0.472864 0.728146i 0.0777383 0.119707i −0.797663 0.603104i \(-0.793931\pi\)
0.875401 + 0.483397i \(0.160597\pi\)
\(38\) 1.41355 3.68242i 0.229308 0.597367i
\(39\) −0.0947066 0.212714i −0.0151652 0.0340616i
\(40\) 2.08749 + 0.801484i 0.330061 + 0.126726i
\(41\) −11.9022 + 3.86725i −1.85881 + 0.603963i −0.863840 + 0.503766i \(0.831947\pi\)
−0.994968 + 0.100198i \(0.968053\pi\)
\(42\) 1.89650 2.00484i 0.292637 0.309354i
\(43\) 8.91946 + 8.91946i 1.36021 + 1.36021i 0.873650 + 0.486555i \(0.161747\pi\)
0.486555 + 0.873650i \(0.338253\pi\)
\(44\) 0.632563 + 3.25574i 0.0953624 + 0.490822i
\(45\) 4.06598 + 1.32144i 0.606121 + 0.196988i
\(46\) 0.191087 + 1.81807i 0.0281743 + 0.268060i
\(47\) −5.41486 + 0.283781i −0.789839 + 0.0413937i −0.442989 0.896527i \(-0.646082\pi\)
−0.346850 + 0.937921i \(0.612749\pi\)
\(48\) −0.473549 0.929392i −0.0683509 0.134146i
\(49\) 6.76718 + 1.79031i 0.966741 + 0.255759i
\(50\) 4.19374 2.72260i 0.593085 0.385033i
\(51\) −3.68521 + 0.783316i −0.516033 + 0.109686i
\(52\) −0.121579 0.187215i −0.0168599 0.0259620i
\(53\) 7.52398 9.29134i 1.03350 1.27626i 0.0731907 0.997318i \(-0.476682\pi\)
0.960307 0.278945i \(-0.0899848\pi\)
\(54\) −2.56180 4.43716i −0.348616 0.603821i
\(55\) 6.72087 + 3.13528i 0.906241 + 0.422761i
\(56\) 1.49512 2.18280i 0.199793 0.291689i
\(57\) −0.643623 + 4.06368i −0.0852499 + 0.538247i
\(58\) −6.15016 + 0.322316i −0.807555 + 0.0423222i
\(59\) −3.67061 4.07663i −0.477873 0.530732i 0.455214 0.890382i \(-0.349563\pi\)
−0.933087 + 0.359650i \(0.882896\pi\)
\(60\) −2.30366 0.365032i −0.297401 0.0471255i
\(61\) −1.83333 0.192691i −0.234734 0.0246715i −0.0135688 0.999908i \(-0.504319\pi\)
−0.221165 + 0.975236i \(0.570986\pi\)
\(62\) 4.38024 2.23184i 0.556291 0.283444i
\(63\) 2.63630 4.31737i 0.332142 0.543938i
\(64\) −0.587785 0.809017i −0.0734732 0.101127i
\(65\) −0.498467 0.0261593i −0.0618273 0.00324467i
\(66\) −1.35146 3.18461i −0.166354 0.391998i
\(67\) −0.133324 0.497574i −0.0162882 0.0607883i 0.957303 0.289085i \(-0.0933510\pi\)
−0.973592 + 0.228297i \(0.926684\pi\)
\(68\) −3.37203 + 1.29440i −0.408919 + 0.156969i
\(69\) −0.589247 1.81352i −0.0709370 0.218322i
\(70\) −1.98326 5.57375i −0.237044 0.666191i
\(71\) −1.54572 1.12303i −0.183443 0.133279i 0.492274 0.870440i \(-0.336166\pi\)
−0.675717 + 0.737161i \(0.736166\pi\)
\(72\) −1.20325 1.48589i −0.141804 0.175114i
\(73\) −13.1903 0.691276i −1.54381 0.0809077i −0.738701 0.674034i \(-0.764560\pi\)
−0.805110 + 0.593126i \(0.797894\pi\)
\(74\) −0.180512 + 0.849243i −0.0209841 + 0.0987224i
\(75\) −3.68837 + 3.68732i −0.425897 + 0.425775i
\(76\) 3.94440i 0.452454i
\(77\) 5.45225 6.87553i 0.621342 0.783540i
\(78\) 0.164646 + 0.164646i 0.0186425 + 0.0186425i
\(79\) −5.96218 + 13.3913i −0.670797 + 1.50664i 0.181397 + 0.983410i \(0.441938\pi\)
−0.852194 + 0.523226i \(0.824729\pi\)
\(80\) −2.23607 0.000159995i −0.250000 1.78880e-5i
\(81\) −0.262050 0.291036i −0.0291167 0.0323374i
\(82\) 9.72574 7.87575i 1.07403 0.869731i
\(83\) −6.12892 + 0.970725i −0.672736 + 0.106551i −0.483451 0.875371i \(-0.660617\pi\)
−0.189285 + 0.981922i \(0.560617\pi\)
\(84\) −1.05207 + 2.55133i −0.114790 + 0.278373i
\(85\) −2.09092 + 7.80118i −0.226792 + 0.846157i
\(86\) −11.5235 5.13059i −1.24261 0.553245i
\(87\) 6.20502 1.66263i 0.665249 0.178253i
\(88\) −1.75730 2.81281i −0.187329 0.299846i
\(89\) −3.16453 5.48113i −0.335440 0.580999i 0.648129 0.761530i \(-0.275552\pi\)
−0.983569 + 0.180531i \(0.942218\pi\)
\(90\) −4.26948 + 0.223448i −0.450043 + 0.0235535i
\(91\) −0.166844 + 0.566550i −0.0174900 + 0.0593906i
\(92\) −0.829935 1.62884i −0.0865267 0.169818i
\(93\) −3.98508 + 3.22706i −0.413234 + 0.334630i
\(94\) 4.95351 2.20545i 0.510916 0.227474i
\(95\) 7.13512 + 5.18475i 0.732048 + 0.531944i
\(96\) 0.775160 + 0.697957i 0.0791144 + 0.0712350i
\(97\) −0.105332 0.0166830i −0.0106949 0.00169390i 0.151085 0.988521i \(-0.451723\pi\)
−0.161780 + 0.986827i \(0.551723\pi\)
\(98\) −6.95930 + 0.753741i −0.702996 + 0.0761393i
\(99\) −3.63679 5.19483i −0.365511 0.522100i
\(100\) −2.93951 + 4.04466i −0.293951 + 0.404466i
\(101\) −8.74720 + 0.919367i −0.870379 + 0.0914805i −0.529179 0.848510i \(-0.677500\pi\)
−0.341200 + 0.939991i \(0.610833\pi\)
\(102\) 3.15972 2.05195i 0.312859 0.203173i
\(103\) 0.382980 0.589737i 0.0377361 0.0581085i −0.819299 0.573366i \(-0.805637\pi\)
0.857035 + 0.515258i \(0.172304\pi\)
\(104\) 0.180595 + 0.131210i 0.0177088 + 0.0128662i
\(105\) 3.23226 + 5.25672i 0.315436 + 0.513003i
\(106\) −3.69452 + 11.3706i −0.358843 + 1.10441i
\(107\) −0.891342 17.0078i −0.0861693 1.64421i −0.610011 0.792393i \(-0.708835\pi\)
0.523842 0.851816i \(-0.324498\pi\)
\(108\) 3.98178 + 3.22438i 0.383147 + 0.310266i
\(109\) 8.57110 + 4.94853i 0.820962 + 0.473983i 0.850748 0.525573i \(-0.176149\pi\)
−0.0297858 + 0.999556i \(0.509483\pi\)
\(110\) −7.39805 0.518492i −0.705377 0.0494362i
\(111\) 0.905618i 0.0859575i
\(112\) −0.613564 + 2.57362i −0.0579764 + 0.243185i
\(113\) 2.90898 5.70919i 0.273654 0.537076i −0.712749 0.701419i \(-0.752550\pi\)
0.986403 + 0.164343i \(0.0525504\pi\)
\(114\) −0.855417 4.02442i −0.0801172 0.376922i
\(115\) −4.03736 0.639751i −0.376486 0.0596571i
\(116\) 5.62616 2.50493i 0.522376 0.232577i
\(117\) 0.357952 + 0.232457i 0.0330926 + 0.0214906i
\(118\) 4.88775 + 2.49043i 0.449953 + 0.229263i
\(119\) 8.40544 + 4.54656i 0.770525 + 0.416783i
\(120\) 2.28147 0.484770i 0.208268 0.0442532i
\(121\) −5.16252 9.71331i −0.469320 0.883028i
\(122\) 1.78061 0.477114i 0.161209 0.0431959i
\(123\) −8.21504 + 10.1447i −0.740725 + 0.914720i
\(124\) −3.28948 + 3.65334i −0.295404 + 0.328080i
\(125\) 3.45263 + 10.6339i 0.308813 + 0.951123i
\(126\) −0.913986 + 4.97538i −0.0814243 + 0.443242i
\(127\) −13.0945 + 2.07396i −1.16195 + 0.184035i −0.707483 0.706730i \(-0.750170\pi\)
−0.454465 + 0.890765i \(0.650170\pi\)
\(128\) 0.838671 + 0.544639i 0.0741287 + 0.0481397i
\(129\) 12.8699 + 2.73559i 1.13313 + 0.240855i
\(130\) 0.474734 0.154213i 0.0416369 0.0135254i
\(131\) 13.1134 7.57101i 1.14572 0.661482i 0.197880 0.980226i \(-0.436594\pi\)
0.947841 + 0.318744i \(0.103261\pi\)
\(132\) 2.40296 + 2.48877i 0.209151 + 0.216619i
\(133\) 7.92479 6.79014i 0.687166 0.588779i
\(134\) 0.302784 + 0.416746i 0.0261565 + 0.0360014i
\(135\) 11.0665 2.96442i 0.952456 0.255137i
\(136\) 2.68419 2.41686i 0.230168 0.207244i
\(137\) −0.0880636 + 0.229414i −0.00752378 + 0.0196001i −0.937291 0.348548i \(-0.886675\pi\)
0.929767 + 0.368148i \(0.120008\pi\)
\(138\) 1.20002 + 1.48190i 0.102152 + 0.126147i
\(139\) −0.261807 + 0.805759i −0.0222062 + 0.0683436i −0.961546 0.274646i \(-0.911439\pi\)
0.939339 + 0.342989i \(0.111439\pi\)
\(140\) 3.84898 + 4.49281i 0.325298 + 0.379712i
\(141\) −4.57571 + 3.32445i −0.385344 + 0.279969i
\(142\) 1.84551 + 0.494503i 0.154872 + 0.0414978i
\(143\) 0.567111 + 0.475945i 0.0474242 + 0.0398006i
\(144\) 1.65583 + 0.955991i 0.137985 + 0.0796660i
\(145\) 2.86413 13.4699i 0.237853 1.11862i
\(146\) 12.5620 4.08163i 1.03964 0.337798i
\(147\) 6.93702 2.27829i 0.572156 0.187910i
\(148\) −0.135819 0.857526i −0.0111642 0.0704882i
\(149\) −21.5183 2.26167i −1.76285 0.185283i −0.833013 0.553254i \(-0.813386\pi\)
−0.929837 + 0.367971i \(0.880053\pi\)
\(150\) 2.12198 4.76420i 0.173259 0.388996i
\(151\) −5.54197 1.17798i −0.450999 0.0958629i −0.0231884 0.999731i \(-0.507382\pi\)
−0.427811 + 0.903868i \(0.640715\pi\)
\(152\) −1.41355 3.68242i −0.114654 0.298683i
\(153\) 4.88325 4.88325i 0.394787 0.394787i
\(154\) −2.62615 + 8.37277i −0.211621 + 0.674697i
\(155\) 2.28473 + 10.7526i 0.183514 + 0.863668i
\(156\) −0.212714 0.0947066i −0.0170308 0.00758259i
\(157\) −11.7025 18.0203i −0.933963 1.43818i −0.898583 0.438803i \(-0.855403\pi\)
−0.0353795 0.999374i \(-0.511264\pi\)
\(158\) 0.767170 14.6385i 0.0610328 1.16458i
\(159\) 1.30355 12.4025i 0.103378 0.983579i
\(160\) 2.08761 0.801186i 0.165040 0.0633393i
\(161\) −1.84384 + 4.47142i −0.145315 + 0.352398i
\(162\) 0.348943 + 0.177795i 0.0274155 + 0.0139689i
\(163\) 0.0201416 + 0.0524708i 0.00157762 + 0.00410983i 0.934367 0.356312i \(-0.115966\pi\)
−0.932789 + 0.360422i \(0.882633\pi\)
\(164\) −6.25735 + 10.8380i −0.488617 + 0.846309i
\(165\) 7.66058 1.07540i 0.596375 0.0837194i
\(166\) 5.37396 3.10266i 0.417100 0.240813i
\(167\) 7.85371 + 1.24391i 0.607738 + 0.0962563i 0.452716 0.891655i \(-0.350455\pi\)
0.155022 + 0.987911i \(0.450455\pi\)
\(168\) 0.0678732 2.75890i 0.00523653 0.212854i
\(169\) 12.3163 + 4.00182i 0.947411 + 0.307832i
\(170\) −0.843653 8.03235i −0.0647052 0.616053i
\(171\) −3.06746 6.88962i −0.234574 0.526863i
\(172\) 12.5967 + 0.660167i 0.960492 + 0.0503373i
\(173\) 0.365330 + 6.97091i 0.0277755 + 0.529989i 0.976716 + 0.214535i \(0.0688235\pi\)
−0.948941 + 0.315454i \(0.897843\pi\)
\(174\) −5.19706 + 3.77588i −0.393988 + 0.286249i
\(175\) 13.1865 1.05691i 0.996803 0.0798948i
\(176\) 2.64860 + 1.99622i 0.199646 + 0.150471i
\(177\) −5.52700 1.48095i −0.415435 0.111315i
\(178\) 4.91861 + 3.98301i 0.368665 + 0.298539i
\(179\) −0.137145 + 0.645218i −0.0102507 + 0.0482259i −0.982976 0.183736i \(-0.941181\pi\)
0.972725 + 0.231961i \(0.0745143\pi\)
\(180\) 3.90583 1.73865i 0.291123 0.129591i
\(181\) −6.09634 + 8.39089i −0.453137 + 0.623690i −0.973068 0.230519i \(-0.925958\pi\)
0.519931 + 0.854208i \(0.325958\pi\)
\(182\) −0.0472706 0.588711i −0.00350393 0.0436382i
\(183\) −1.71327 + 0.872952i −0.126648 + 0.0645305i
\(184\) 1.35853 + 1.22323i 0.100152 + 0.0901777i
\(185\) −1.72973 0.881496i −0.127172 0.0648088i
\(186\) 2.56392 4.44084i 0.187996 0.325618i
\(187\) 9.44056 7.37447i 0.690362 0.539275i
\(188\) −3.83414 + 3.83414i −0.279633 + 0.279633i
\(189\) −0.376304 13.5505i −0.0273721 0.985656i
\(190\) −8.51926 2.28338i −0.618052 0.165654i
\(191\) 18.4625 3.92432i 1.33590 0.283954i 0.516061 0.856552i \(-0.327398\pi\)
0.819836 + 0.572598i \(0.194065\pi\)
\(192\) −0.973800 0.373807i −0.0702779 0.0269772i
\(193\) 13.0239 + 4.99940i 0.937479 + 0.359864i 0.778662 0.627444i \(-0.215899\pi\)
0.158817 + 0.987308i \(0.449232\pi\)
\(194\) 0.104315 0.0221728i 0.00748937 0.00159191i
\(195\) −0.450921 + 0.260296i −0.0322911 + 0.0186402i
\(196\) 6.22695 3.19767i 0.444782 0.228405i
\(197\) 17.8445 17.8445i 1.27137 1.27137i 0.325999 0.945370i \(-0.394299\pi\)
0.945370 0.325999i \(-0.105701\pi\)
\(198\) 5.25690 + 3.54648i 0.373591 + 0.252037i
\(199\) −3.32097 + 5.75208i −0.235417 + 0.407754i −0.959394 0.282070i \(-0.908979\pi\)
0.723977 + 0.689824i \(0.242312\pi\)
\(200\) 1.29479 4.82944i 0.0915552 0.341493i
\(201\) −0.399305 0.359536i −0.0281648 0.0253597i
\(202\) 7.83674 3.99302i 0.551391 0.280948i
\(203\) −14.7179 6.99151i −1.03300 0.490707i
\(204\) −2.21450 + 3.04800i −0.155046 + 0.213403i
\(205\) 11.3802 + 25.5652i 0.794825 + 1.78555i
\(206\) −0.146200 + 0.687815i −0.0101862 + 0.0479223i
\(207\) 2.71634 + 2.19965i 0.188799 + 0.152886i
\(208\) −0.215622 0.0577757i −0.0149507 0.00400602i
\(209\) −3.82376 12.5108i −0.264495 0.865390i
\(210\) −4.90142 3.74923i −0.338230 0.258721i
\(211\) −11.0172 + 8.00444i −0.758453 + 0.551048i −0.898435 0.439106i \(-0.855295\pi\)
0.139982 + 0.990154i \(0.455295\pi\)
\(212\) −0.625714 11.9393i −0.0429742 0.819997i
\(213\) −1.99019 0.104302i −0.136366 0.00714663i
\(214\) 6.92720 + 15.5587i 0.473534 + 1.06357i
\(215\) 17.7521 21.9188i 1.21068 1.49485i
\(216\) −4.87283 1.58328i −0.331554 0.107728i
\(217\) 13.0027 + 0.319888i 0.882683 + 0.0217154i
\(218\) −9.77520 1.54824i −0.662060 0.104860i
\(219\) −11.9316 + 6.88873i −0.806264 + 0.465497i
\(220\) 7.09249 2.16717i 0.478175 0.146111i
\(221\) −0.403143 + 0.698264i −0.0271183 + 0.0469703i
\(222\) 0.324545 + 0.845468i 0.0217820 + 0.0567441i
\(223\) 16.3063 + 8.30848i 1.09195 + 0.556377i 0.904749 0.425944i \(-0.140058\pi\)
0.187202 + 0.982321i \(0.440058\pi\)
\(224\) −0.349493 2.62257i −0.0233515 0.175228i
\(225\) 1.98896 9.35072i 0.132597 0.623382i
\(226\) −0.669774 + 6.37248i −0.0445527 + 0.423891i
\(227\) −0.564438 + 10.7701i −0.0374631 + 0.714838i 0.913745 + 0.406288i \(0.133177\pi\)
−0.951208 + 0.308550i \(0.900156\pi\)
\(228\) 2.24082 + 3.45057i 0.148402 + 0.228519i
\(229\) 10.2418 + 4.55992i 0.676794 + 0.301328i 0.716200 0.697895i \(-0.245880\pi\)
−0.0394057 + 0.999223i \(0.512546\pi\)
\(230\) 3.99846 0.849601i 0.263651 0.0560210i
\(231\) 0.863630 9.11216i 0.0568227 0.599536i
\(232\) −4.35479 + 4.35479i −0.285906 + 0.285906i
\(233\) −10.0467 26.1725i −0.658180 1.71462i −0.698677 0.715437i \(-0.746228\pi\)
0.0404977 0.999180i \(-0.487106\pi\)
\(234\) −0.417482 0.0887385i −0.0272916 0.00580102i
\(235\) 1.89585 + 11.9755i 0.123672 + 0.781194i
\(236\) −5.45559 0.573406i −0.355129 0.0373256i
\(237\) 2.39189 + 15.1018i 0.155370 + 0.980969i
\(238\) −9.47649 1.23234i −0.614270 0.0798809i
\(239\) 10.0720 3.27259i 0.651504 0.211687i 0.0354269 0.999372i \(-0.488721\pi\)
0.616077 + 0.787686i \(0.288721\pi\)
\(240\) −1.95621 + 1.27018i −0.126273 + 0.0819895i
\(241\) 11.9218 + 6.88304i 0.767949 + 0.443376i 0.832142 0.554562i \(-0.187114\pi\)
−0.0641934 + 0.997937i \(0.520447\pi\)
\(242\) 8.30057 + 7.21807i 0.533581 + 0.463995i
\(243\) −15.2416 4.08398i −0.977750 0.261987i
\(244\) −1.49136 + 1.08354i −0.0954748 + 0.0693665i
\(245\) 2.40073 15.4673i 0.153377 0.988168i
\(246\) 4.03386 12.4149i 0.257189 0.791547i
\(247\) 0.554118 + 0.684278i 0.0352577 + 0.0435396i
\(248\) 1.76176 4.58953i 0.111872 0.291436i
\(249\) −4.81011 + 4.33104i −0.304828 + 0.274469i
\(250\) −7.03415 8.69027i −0.444879 0.549621i
\(251\) 10.8796 + 14.9745i 0.686714 + 0.945181i 0.999990 0.00448126i \(-0.00142643\pi\)
−0.313276 + 0.949662i \(0.601426\pi\)
\(252\) −0.929737 4.97246i −0.0585679 0.313235i
\(253\) 4.21140 + 4.36178i 0.264768 + 0.274223i
\(254\) 11.4815 6.62886i 0.720415 0.415932i
\(255\) 2.60273 + 8.01234i 0.162989 + 0.501752i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) −24.9192 16.1827i −1.55442 1.00945i −0.981864 0.189586i \(-0.939285\pi\)
−0.572555 0.819866i \(-0.694048\pi\)
\(258\) −12.9955 + 2.05828i −0.809062 + 0.128143i
\(259\) −1.48907 + 1.74907i −0.0925262 + 0.108682i
\(260\) −0.387938 + 0.314100i −0.0240589 + 0.0194796i
\(261\) −7.87910 + 8.75063i −0.487704 + 0.541650i
\(262\) −9.52918 + 11.7676i −0.588715 + 0.727002i
\(263\) −12.4718 + 3.34180i −0.769041 + 0.206064i −0.621948 0.783059i \(-0.713658\pi\)
−0.147093 + 0.989123i \(0.546992\pi\)
\(264\) −3.13525 1.46232i −0.192961 0.0899995i
\(265\) −22.4198 14.5619i −1.37724 0.894529i
\(266\) −4.96506 + 9.17913i −0.304427 + 0.562808i
\(267\) −5.88218 2.99712i −0.359984 0.183421i
\(268\) −0.432021 0.280558i −0.0263899 0.0171378i
\(269\) 8.29695 3.69404i 0.505874 0.225229i −0.137899 0.990446i \(-0.544035\pi\)
0.643773 + 0.765217i \(0.277368\pi\)
\(270\) −9.26915 + 6.73342i −0.564103 + 0.409783i
\(271\) 1.46144 + 6.87553i 0.0887761 + 0.417659i 0.999984 + 0.00571133i \(0.00181798\pi\)
−0.911208 + 0.411948i \(0.864849\pi\)
\(272\) −1.63978 + 3.21826i −0.0994265 + 0.195136i
\(273\) 0.175903 + 0.590403i 0.0106461 + 0.0357328i
\(274\) 0.245735i 0.0148454i
\(275\) 5.40253 15.6784i 0.325785 0.945444i
\(276\) −1.65138 0.953422i −0.0994011 0.0573892i
\(277\) 6.61215 + 5.35442i 0.397286 + 0.321716i 0.807058 0.590472i \(-0.201058\pi\)
−0.409772 + 0.912188i \(0.634392\pi\)
\(278\) −0.0443403 0.846064i −0.00265936 0.0507436i
\(279\) 2.90458 8.93938i 0.173893 0.535186i
\(280\) −5.20341 2.81505i −0.310963 0.168231i
\(281\) 1.99550 + 1.44982i 0.119042 + 0.0864889i 0.645713 0.763580i \(-0.276560\pi\)
−0.526671 + 0.850069i \(0.676560\pi\)
\(282\) 3.08042 4.74343i 0.183436 0.282467i
\(283\) −11.0703 + 7.18912i −0.658059 + 0.427349i −0.830004 0.557758i \(-0.811662\pi\)
0.171944 + 0.985107i \(0.444995\pi\)
\(284\) −1.90015 + 0.199714i −0.112753 + 0.0118508i
\(285\) 9.18728 + 0.482144i 0.544207 + 0.0285597i
\(286\) −0.700007 0.241099i −0.0413923 0.0142565i
\(287\) 32.5467 6.08550i 1.92117 0.359215i
\(288\) −1.88844 0.299100i −0.111278 0.0176246i
\(289\) −2.93833 2.64569i −0.172843 0.155629i
\(290\) 2.15329 + 13.6017i 0.126446 + 0.798717i
\(291\) −0.101622 + 0.0452452i −0.00595721 + 0.00265232i
\(292\) −10.2649 + 8.31233i −0.600706 + 0.486442i
\(293\) −0.207278 0.406807i −0.0121093 0.0237659i 0.884873 0.465833i \(-0.154245\pi\)
−0.896982 + 0.442067i \(0.854245\pi\)
\(294\) −5.65980 + 4.61297i −0.330086 + 0.269034i
\(295\) −8.20839 + 9.11503i −0.477911 + 0.530698i
\(296\) 0.434108 + 0.751896i 0.0252320 + 0.0437031i
\(297\) −15.7551 6.36706i −0.914205 0.369454i
\(298\) 20.8996 5.60003i 1.21068 0.324401i
\(299\) −0.372800 0.165981i −0.0215596 0.00959895i
\(300\) −0.273698 + 5.20822i −0.0158020 + 0.300696i
\(301\) −20.3584 26.4448i −1.17344 1.52425i
\(302\) 5.59603 0.886324i 0.322015 0.0510022i
\(303\) −7.12976 + 5.77357i −0.409594 + 0.331683i
\(304\) 2.63932 + 2.93126i 0.151375 + 0.168119i
\(305\) −0.000294940 4.12203i −1.68882e−5 0.236027i
\(306\) −2.80891 + 6.30891i −0.160575 + 0.360656i
\(307\) 22.4571 + 22.4571i 1.28170 + 1.28170i 0.939703 + 0.341992i \(0.111102\pi\)
0.341992 + 0.939703i \(0.388898\pi\)
\(308\) −0.548815 8.75779i −0.0312716 0.499021i
\(309\) 0.733474i 0.0417259i
\(310\) −5.98636 9.21963i −0.340002 0.523640i
\(311\) −2.34282 + 11.0221i −0.132849 + 0.625005i 0.860460 + 0.509518i \(0.170176\pi\)
−0.993309 + 0.115487i \(0.963157\pi\)
\(312\) 0.232526 + 0.0121862i 0.0131642 + 0.000689906i
\(313\) 4.43332 + 5.47469i 0.250586 + 0.309448i 0.886881 0.461998i \(-0.152867\pi\)
−0.636295 + 0.771446i \(0.719534\pi\)
\(314\) 17.3831 + 12.6296i 0.980988 + 0.712729i
\(315\) −10.2169 4.85426i −0.575657 0.273507i
\(316\) 4.52975 + 13.9411i 0.254818 + 0.784250i
\(317\) −23.3180 + 8.95095i −1.30967 + 0.502735i −0.910260 0.414037i \(-0.864118\pi\)
−0.399410 + 0.916772i \(0.630785\pi\)
\(318\) 3.22767 + 12.0458i 0.180999 + 0.675497i
\(319\) −15.4167 + 13.3992i −0.863168 + 0.750210i
\(320\) −1.66183 + 1.49610i −0.0928991 + 0.0836347i
\(321\) −10.4419 14.3721i −0.582812 0.802172i
\(322\) 0.118954 4.83520i 0.00662903 0.269455i
\(323\) 12.6941 6.46797i 0.706319 0.359887i
\(324\) −0.389482 0.0409363i −0.0216379 0.00227424i
\(325\) 0.0582548 + 1.11462i 0.00323139 + 0.0618280i
\(326\) −0.0376077 0.0417676i −0.00208290 0.00231329i
\(327\) 10.3093 0.540286i 0.570104 0.0298779i
\(328\) 1.95773 12.3606i 0.108097 0.682501i
\(329\) 14.3036 + 1.10293i 0.788582 + 0.0608066i
\(330\) −6.76638 + 3.74927i −0.372477 + 0.206391i
\(331\) 3.89499 + 6.74631i 0.214088 + 0.370811i 0.952990 0.303002i \(-0.0979888\pi\)
−0.738902 + 0.673813i \(0.764655\pi\)
\(332\) −3.90513 + 4.82243i −0.214322 + 0.264665i
\(333\) 0.904108 + 1.39220i 0.0495448 + 0.0762923i
\(334\) −7.77785 + 1.65323i −0.425585 + 0.0904608i
\(335\) −1.07538 + 0.412712i −0.0587543 + 0.0225489i
\(336\) 0.925335 + 2.59998i 0.0504812 + 0.141840i
\(337\) −6.66701 13.0847i −0.363175 0.712772i 0.635041 0.772479i \(-0.280983\pi\)
−0.998216 + 0.0597071i \(0.980983\pi\)
\(338\) −12.9324 + 0.677759i −0.703431 + 0.0368653i
\(339\) −0.698629 6.64701i −0.0379443 0.361016i
\(340\) 3.66615 + 7.19651i 0.198825 + 0.390285i
\(341\) 6.89194 14.7765i 0.373219 0.800192i
\(342\) 5.33274 + 5.33274i 0.288361 + 0.288361i
\(343\) −17.1440 7.00604i −0.925687 0.378291i
\(344\) −11.9966 + 3.89795i −0.646816 + 0.210163i
\(345\) −3.89533 + 1.73398i −0.209717 + 0.0933542i
\(346\) −2.83922 6.37698i −0.152637 0.342829i
\(347\) 5.13461 13.3761i 0.275640 0.718068i −0.723961 0.689841i \(-0.757681\pi\)
0.999602 0.0282269i \(-0.00898609\pi\)
\(348\) 3.49871 5.38755i 0.187551 0.288803i
\(349\) −6.18158 19.0249i −0.330892 1.01838i −0.968710 0.248194i \(-0.920163\pi\)
0.637818 0.770187i \(-0.279837\pi\)
\(350\) −11.9319 + 5.71232i −0.637785 + 0.305336i
\(351\) 1.14373 0.0610478
\(352\) −3.18807 0.914459i −0.169924 0.0487408i
\(353\) −1.73519 6.47581i −0.0923547 0.344673i 0.904250 0.427003i \(-0.140430\pi\)
−0.996605 + 0.0823301i \(0.973764\pi\)
\(354\) 5.69062 0.598109i 0.302453 0.0317891i
\(355\) −2.13640 + 3.69974i −0.113388 + 0.196362i
\(356\) −6.01930 1.95579i −0.319022 0.103657i
\(357\) 9.93600 0.797811i 0.525869 0.0422246i
\(358\) −0.103189 0.651511i −0.00545372 0.0344335i
\(359\) 4.89279 + 23.0188i 0.258232 + 1.21488i 0.895788 + 0.444481i \(0.146612\pi\)
−0.637557 + 0.770403i \(0.720055\pi\)
\(360\) −3.02333 + 3.02289i −0.159343 + 0.159321i
\(361\) 0.359754 + 3.42284i 0.0189344 + 0.180149i
\(362\) 2.68440 10.0183i 0.141089 0.526550i
\(363\) −10.0343 5.56437i −0.526666 0.292054i
\(364\) 0.255106 + 0.532669i 0.0133712 + 0.0279195i
\(365\) 1.54363 + 29.4946i 0.0807972 + 1.54382i
\(366\) 1.28663 1.42895i 0.0672534 0.0746924i
\(367\) −0.870252 + 16.6054i −0.0454268 + 0.866795i 0.876969 + 0.480548i \(0.159562\pi\)
−0.922395 + 0.386247i \(0.873771\pi\)
\(368\) −1.70667 0.655128i −0.0889662 0.0341509i
\(369\) 2.50114 23.7968i 0.130204 1.23881i
\(370\) 1.93074 + 0.203068i 0.100374 + 0.0105570i
\(371\) −22.9104 + 21.8102i −1.18945 + 1.13233i
\(372\) −0.802171 + 5.06471i −0.0415906 + 0.262593i
\(373\) 0.864746 3.22727i 0.0447748 0.167102i −0.939918 0.341400i \(-0.889099\pi\)
0.984693 + 0.174298i \(0.0557656\pi\)
\(374\) −6.17075 + 10.2679i −0.319082 + 0.530938i
\(375\) 9.06150 + 7.34108i 0.467934 + 0.379092i
\(376\) 2.20545 4.95351i 0.113737 0.255458i
\(377\) 0.624134 1.22493i 0.0321445 0.0630872i
\(378\) 5.20739 + 12.5157i 0.267839 + 0.643736i
\(379\) −14.9490 + 20.5755i −0.767878 + 1.05689i 0.228640 + 0.973511i \(0.426572\pi\)
−0.996518 + 0.0833820i \(0.973428\pi\)
\(380\) 8.77170 0.921308i 0.449979 0.0472621i
\(381\) −10.2769 + 9.25332i −0.526499 + 0.474062i
\(382\) −15.8298 + 10.2800i −0.809925 + 0.525972i
\(383\) 0.588512 0.225909i 0.0300716 0.0115434i −0.343286 0.939231i \(-0.611540\pi\)
0.373357 + 0.927688i \(0.378207\pi\)
\(384\) 1.04308 0.0532295
\(385\) −16.5636 10.5190i −0.844157 0.536096i
\(386\) −13.9505 −0.710060
\(387\) −22.5159 + 8.64305i −1.14455 + 0.439351i
\(388\) −0.0894402 + 0.0580832i −0.00454064 + 0.00294873i
\(389\) −9.04699 + 8.14594i −0.458700 + 0.413016i −0.865817 0.500360i \(-0.833201\pi\)
0.407117 + 0.913376i \(0.366534\pi\)
\(390\) 0.327689 0.404603i 0.0165932 0.0204879i
\(391\) −3.88111 + 5.34189i −0.196276 + 0.270151i
\(392\) −4.66742 + 5.21682i −0.235740 + 0.263489i
\(393\) 7.17048 14.0729i 0.361703 0.709882i
\(394\) −10.2644 + 23.0542i −0.517112 + 1.16145i
\(395\) 31.1726 + 10.1311i 1.56846 + 0.509749i
\(396\) −6.17868 1.42702i −0.310490 0.0717104i
\(397\) −1.16913 + 4.36324i −0.0586768 + 0.218985i −0.989038 0.147659i \(-0.952826\pi\)
0.930362 + 0.366643i \(0.119493\pi\)
\(398\) 1.03903 6.56016i 0.0520817 0.328831i
\(399\) 3.07512 10.4421i 0.153948 0.522759i
\(400\) 0.521931 + 4.97268i 0.0260965 + 0.248634i
\(401\) −4.09982 + 39.0072i −0.204735 + 1.94792i 0.0988062 + 0.995107i \(0.468498\pi\)
−0.303541 + 0.952818i \(0.598169\pi\)
\(402\) 0.501630 + 0.192558i 0.0250190 + 0.00960390i
\(403\) −0.0574336 + 1.09590i −0.00286097 + 0.0545906i
\(404\) −5.88526 + 6.53624i −0.292802 + 0.325190i
\(405\) −0.586009 + 0.650735i −0.0291190 + 0.0323353i
\(406\) 16.2459 + 1.25270i 0.806270 + 0.0621705i
\(407\) 1.26209 + 2.58823i 0.0625593 + 0.128294i
\(408\) 0.975111 3.63916i 0.0482752 0.180165i
\(409\) −3.57124 33.9781i −0.176587 1.68011i −0.620630 0.784104i \(-0.713123\pi\)
0.444043 0.896005i \(-0.353544\pi\)
\(410\) −19.7860 19.7889i −0.977163 0.977303i
\(411\) 0.0532923 + 0.250720i 0.00262871 + 0.0123671i
\(412\) −0.110002 0.694524i −0.00541940 0.0342167i
\(413\) 8.23955 + 11.9481i 0.405442 + 0.587925i
\(414\) −3.32420 1.08010i −0.163376 0.0530840i
\(415\) 3.59029 + 13.4030i 0.176240 + 0.657926i
\(416\) 0.222005 0.0233337i 0.0108847 0.00114403i
\(417\) 0.228725 + 0.853612i 0.0112007 + 0.0418016i
\(418\) 8.05326 + 10.3095i 0.393898 + 0.504256i
\(419\) −18.9733 −0.926904 −0.463452 0.886122i \(-0.653389\pi\)
−0.463452 + 0.886122i \(0.653389\pi\)
\(420\) 5.91947 + 1.74370i 0.288841 + 0.0850837i
\(421\) −3.27414 10.0768i −0.159572 0.491111i 0.839024 0.544095i \(-0.183127\pi\)
−0.998595 + 0.0529839i \(0.983127\pi\)
\(422\) 7.41688 11.4210i 0.361048 0.555965i
\(423\) 3.71532 9.67874i 0.180645 0.470596i
\(424\) 4.86283 + 10.9221i 0.236160 + 0.530424i
\(425\) 17.8369 + 2.82771i 0.865218 + 0.137164i
\(426\) 1.89538 0.615848i 0.0918317 0.0298379i
\(427\) 4.74429 + 1.13106i 0.229592 + 0.0547359i
\(428\) −12.0429 12.0429i −0.582113 0.582113i
\(429\) 0.766495 + 0.0941805i 0.0370067 + 0.00454708i
\(430\) −8.71800 + 26.8247i −0.420419 + 1.29360i
\(431\) −1.32430 12.5999i −0.0637893 0.606914i −0.978989 0.203914i \(-0.934634\pi\)
0.915200 0.403001i \(-0.132033\pi\)
\(432\) 5.11657 0.268148i 0.246171 0.0129013i
\(433\) 4.47130 + 8.77543i 0.214877 + 0.421720i 0.973135 0.230234i \(-0.0739493\pi\)
−0.758258 + 0.651954i \(0.773949\pi\)
\(434\) −12.2537 + 4.36112i −0.588198 + 0.209340i
\(435\) −5.14675 13.4106i −0.246768 0.642989i
\(436\) 9.68078 2.05771i 0.463625 0.0985466i
\(437\) 3.92724 + 6.04742i 0.187865 + 0.289287i
\(438\) 8.67043 10.7071i 0.414289 0.511605i
\(439\) −12.3450 21.3822i −0.589195 1.02051i −0.994338 0.106262i \(-0.966112\pi\)
0.405144 0.914253i \(-0.367221\pi\)
\(440\) −5.84476 + 4.56495i −0.278638 + 0.217625i
\(441\) −8.38977 + 10.4278i −0.399513 + 0.496564i
\(442\) 0.126131 0.796359i 0.00599943 0.0378789i
\(443\) −3.94182 + 0.206582i −0.187282 + 0.00981501i −0.145746 0.989322i \(-0.546558\pi\)
−0.0415354 + 0.999137i \(0.513225\pi\)
\(444\) −0.605977 0.673006i −0.0287584 0.0319394i
\(445\) −11.4500 + 8.31765i −0.542781 + 0.394294i
\(446\) −18.2008 1.91298i −0.861831 0.0905820i
\(447\) −20.1091 + 10.2461i −0.951129 + 0.484624i
\(448\) 1.26612 + 2.32313i 0.0598187 + 0.109758i
\(449\) −1.88947 2.60063i −0.0891696 0.122731i 0.762101 0.647458i \(-0.224168\pi\)
−0.851271 + 0.524726i \(0.824168\pi\)
\(450\) 1.49415 + 9.44243i 0.0704349 + 0.445120i
\(451\) 9.34041 40.4419i 0.439823 1.90434i
\(452\) −1.65840 6.18924i −0.0780047 0.291118i
\(453\) −5.51734 + 2.11791i −0.259227 + 0.0995080i
\(454\) −3.33272 10.2571i −0.156412 0.481387i
\(455\) 1.29888 + 0.238703i 0.0608926 + 0.0111906i
\(456\) −3.32856 2.41834i −0.155874 0.113249i
\(457\) −11.0884 13.6930i −0.518691 0.640530i 0.448741 0.893662i \(-0.351873\pi\)
−0.967432 + 0.253132i \(0.918539\pi\)
\(458\) −11.1956 0.586738i −0.523138 0.0274165i
\(459\) 3.84763 18.1017i 0.179592 0.844915i
\(460\) −3.42842 + 2.22609i −0.159851 + 0.103792i
\(461\) 17.8512i 0.831415i −0.909498 0.415708i \(-0.863534\pi\)
0.909498 0.415708i \(-0.136466\pi\)
\(462\) 2.45924 + 8.81643i 0.114414 + 0.410178i
\(463\) 20.1385 + 20.1385i 0.935917 + 0.935917i 0.998067 0.0621496i \(-0.0197956\pi\)
−0.0621496 + 0.998067i \(0.519796\pi\)
\(464\) 2.50493 5.62616i 0.116288 0.261188i
\(465\) 8.10725 + 8.10841i 0.375965 + 0.376019i
\(466\) 18.7588 + 20.8337i 0.868983 + 0.965103i
\(467\) −23.5338 + 19.0573i −1.08901 + 0.881866i −0.993531 0.113566i \(-0.963773\pi\)
−0.0954827 + 0.995431i \(0.530439\pi\)
\(468\) 0.421554 0.0667676i 0.0194863 0.00308633i
\(469\) 0.180033 + 1.35095i 0.00831314 + 0.0623812i
\(470\) −6.06156 10.5007i −0.279599 0.484359i
\(471\) −20.4748 9.11595i −0.943427 0.420041i
\(472\) 5.29873 1.41979i 0.243894 0.0653511i
\(473\) −40.5941 + 10.1176i −1.86652 + 0.465206i
\(474\) −7.64503 13.2416i −0.351148 0.608206i
\(475\) 9.86345 17.0784i 0.452566 0.783609i
\(476\) 9.28870 2.24558i 0.425747 0.102926i
\(477\) 10.3778 + 20.3676i 0.475168 + 0.932570i
\(478\) −8.23024 + 6.66471i −0.376442 + 0.304837i
\(479\) 31.2361 13.9072i 1.42721 0.635437i 0.459659 0.888096i \(-0.347972\pi\)
0.967555 + 0.252659i \(0.0813050\pi\)
\(480\) 1.37108 1.88685i 0.0625812 0.0861226i
\(481\) −0.144029 0.129684i −0.00656716 0.00591309i
\(482\) −13.5966 2.15349i −0.619308 0.0980888i
\(483\) 0.927237 + 4.95909i 0.0421908 + 0.225647i
\(484\) −10.3360 3.76399i −0.469817 0.171091i
\(485\) −0.0124974 + 0.238138i −0.000567477 + 0.0108133i
\(486\) 15.6928 1.64938i 0.711842 0.0748176i
\(487\) −17.2041 + 11.1725i −0.779593 + 0.506273i −0.872034 0.489445i \(-0.837200\pi\)
0.0924416 + 0.995718i \(0.470533\pi\)
\(488\) 1.00400 1.54603i 0.0454490 0.0699854i
\(489\) 0.0474287 + 0.0344590i 0.00214480 + 0.00155829i
\(490\) 3.30170 + 15.3003i 0.149156 + 0.691196i
\(491\) 3.23142 9.94528i 0.145832 0.448824i −0.851285 0.524703i \(-0.824176\pi\)
0.997117 + 0.0758790i \(0.0241763\pi\)
\(492\) 0.683185 + 13.0359i 0.0308003 + 0.587706i
\(493\) −17.2872 13.9989i −0.778576 0.630479i
\(494\) −0.762537 0.440251i −0.0343082 0.0198078i
\(495\) −10.7030 + 9.30100i −0.481063 + 0.418049i
\(496\) 4.91606i 0.220737i
\(497\) 3.67228 + 3.47383i 0.164724 + 0.155823i
\(498\) 2.93852 5.76717i 0.131678 0.258433i
\(499\) −4.37152 20.5664i −0.195696 0.920677i −0.960901 0.276891i \(-0.910696\pi\)
0.765205 0.643786i \(-0.222637\pi\)
\(500\) 9.68126 + 5.59225i 0.432959 + 0.250093i
\(501\) 7.57710 3.37354i 0.338520 0.150719i
\(502\) −15.5234 10.0810i −0.692841 0.449936i
\(503\) 2.71482 + 1.38327i 0.121048 + 0.0616769i 0.513466 0.858110i \(-0.328361\pi\)
−0.392418 + 0.919787i \(0.628361\pi\)
\(504\) 2.64995 + 4.30900i 0.118038 + 0.191938i
\(505\) 4.08764 + 19.2376i 0.181897 + 0.856061i
\(506\) −5.49480 2.56284i −0.244274 0.113932i
\(507\) 13.0478 3.49615i 0.579473 0.155269i
\(508\) −8.34335 + 10.3032i −0.370176 + 0.457130i
\(509\) 11.7609 13.0618i 0.521294 0.578955i −0.423800 0.905756i \(-0.639304\pi\)
0.945093 + 0.326801i \(0.105971\pi\)
\(510\) −5.30123 6.54743i −0.234742 0.289925i
\(511\) 34.3711 + 6.31403i 1.52049 + 0.279316i
\(512\) 0.987688 0.156434i 0.0436501 0.00691349i
\(513\) −16.9491 11.0069i −0.748322 0.485966i
\(514\) 29.0635 + 6.17764i 1.28194 + 0.272484i
\(515\) −1.40093 0.713937i −0.0617324 0.0314598i
\(516\) 11.3947 6.57872i 0.501623 0.289612i
\(517\) 8.44420 15.8780i 0.371376 0.698312i
\(518\) 0.763352 2.16654i 0.0335398 0.0951921i
\(519\) 4.27978 + 5.89062i 0.187862 + 0.258569i
\(520\) 0.249608 0.432262i 0.0109460 0.0189559i
\(521\) 23.9305 21.5471i 1.04841 0.943997i 0.0499152 0.998753i \(-0.484105\pi\)
0.998500 + 0.0547564i \(0.0174382\pi\)
\(522\) 4.21983 10.9930i 0.184697 0.481152i
\(523\) 12.7096 + 15.6951i 0.555754 + 0.686299i 0.975160 0.221500i \(-0.0710952\pi\)
−0.419407 + 0.907799i \(0.637762\pi\)
\(524\) 4.67914 14.4009i 0.204409 0.629107i
\(525\) 10.9351 8.41585i 0.477247 0.367298i
\(526\) 10.4458 7.58931i 0.455458 0.330910i
\(527\) 17.1514 + 4.59572i 0.747129 + 0.200193i
\(528\) 3.45106 + 0.241619i 0.150188 + 0.0105151i
\(529\) 17.0244 + 9.82905i 0.740192 + 0.427350i
\(530\) 26.1492 + 5.56014i 1.13585 + 0.241517i
\(531\) 9.97512 3.24111i 0.432883 0.140652i
\(532\) 1.34578 10.3488i 0.0583468 0.448676i
\(533\) 0.437020 + 2.75924i 0.0189294 + 0.119516i
\(534\) 6.56556 + 0.690068i 0.284120 + 0.0298622i
\(535\) −37.6144 + 5.95478i −1.62621 + 0.257447i
\(536\) 0.503869 + 0.107101i 0.0217638 + 0.00462605i
\(537\) 0.246575 + 0.642350i 0.0106405 + 0.0277194i
\(538\) −6.42204 + 6.42204i −0.276874 + 0.276874i
\(539\) −16.6507 + 16.1788i −0.717196 + 0.696871i
\(540\) 6.24046 9.60795i 0.268546 0.413461i
\(541\) 5.91803 + 2.63488i 0.254436 + 0.113282i 0.529992 0.848003i \(-0.322195\pi\)
−0.275555 + 0.961285i \(0.588862\pi\)
\(542\) −3.82834 5.89513i −0.164441 0.253218i
\(543\) −0.566198 + 10.8037i −0.0242979 + 0.463631i
\(544\) 0.377550 3.59215i 0.0161873 0.154012i
\(545\) 9.00273 20.2166i 0.385634 0.865982i
\(546\) −0.375801 0.488151i −0.0160828 0.0208909i
\(547\) −11.3195 5.76759i −0.483988 0.246604i 0.194931 0.980817i \(-0.437552\pi\)
−0.678920 + 0.734213i \(0.737552\pi\)
\(548\) 0.0880636 + 0.229414i 0.00376189 + 0.00980006i
\(549\) 1.76230 3.05239i 0.0752132 0.130273i
\(550\) 0.574950 + 16.5732i 0.0245159 + 0.706682i
\(551\) −21.0375 + 12.1460i −0.896227 + 0.517437i
\(552\) 1.88337 + 0.298296i 0.0801614 + 0.0126963i
\(553\) 20.2116 33.0999i 0.859486 1.40755i
\(554\) −8.09183 2.62919i −0.343789 0.111704i
\(555\) −2.01395 + 0.211529i −0.0854872 + 0.00897889i
\(556\) 0.344598 + 0.773979i 0.0146142 + 0.0328240i
\(557\) −25.3227 1.32711i −1.07296 0.0562314i −0.492337 0.870405i \(-0.663857\pi\)
−0.580622 + 0.814173i \(0.697191\pi\)
\(558\) 0.491927 + 9.38654i 0.0208250 + 0.397364i
\(559\) 2.27803 1.65509i 0.0963506 0.0700028i
\(560\) 5.86663 + 0.763335i 0.247910 + 0.0322568i
\(561\) 4.06916 11.8144i 0.171800 0.498804i
\(562\) −2.38253 0.638398i −0.100501 0.0269292i
\(563\) 19.8236 + 16.0529i 0.835466 + 0.676547i 0.948407 0.317054i \(-0.102694\pi\)
−0.112941 + 0.993602i \(0.536027\pi\)
\(564\) −1.17593 + 5.53229i −0.0495154 + 0.232952i
\(565\) −13.3758 5.13557i −0.562723 0.216055i
\(566\) 7.75864 10.6788i 0.326120 0.448866i
\(567\) 0.588233 + 0.852988i 0.0247035 + 0.0358221i
\(568\) 1.70237 0.867401i 0.0714299 0.0363953i
\(569\) 11.3190 + 10.1916i 0.474516 + 0.427256i 0.871371 0.490625i \(-0.163232\pi\)
−0.396855 + 0.917881i \(0.629898\pi\)
\(570\) −8.74985 + 2.84231i −0.366491 + 0.119051i
\(571\) −8.05094 + 13.9446i −0.336921 + 0.583565i −0.983852 0.178984i \(-0.942719\pi\)
0.646931 + 0.762549i \(0.276052\pi\)
\(572\) 0.739915 0.0257749i 0.0309374 0.00107770i
\(573\) 13.9216 13.9216i 0.581582 0.581582i
\(574\) −28.2041 + 17.3450i −1.17722 + 0.723966i
\(575\) −0.479680 + 9.12785i −0.0200040 + 0.380658i
\(576\) 1.87020 0.397524i 0.0779251 0.0165635i
\(577\) 21.0644 + 8.08588i 0.876924 + 0.336620i 0.754847 0.655901i \(-0.227711\pi\)
0.122077 + 0.992521i \(0.461045\pi\)
\(578\) 3.69130 + 1.41696i 0.153538 + 0.0589377i
\(579\) 14.2335 3.02542i 0.591523 0.125732i
\(580\) −6.88467 11.9266i −0.285870 0.495224i
\(581\) 16.4114 0.455751i 0.680859 0.0189077i
\(582\) 0.0786583 0.0786583i 0.00326049 0.00326049i
\(583\) 13.5588 + 37.2624i 0.561548 + 1.54325i
\(584\) 6.60421 11.4388i 0.273284 0.473342i
\(585\) 0.433337 0.850321i 0.0179163 0.0351565i
\(586\) 0.339298 + 0.305505i 0.0140163 + 0.0126203i
\(587\) −33.3449 + 16.9901i −1.37629 + 0.701256i −0.976534 0.215365i \(-0.930906\pi\)
−0.399758 + 0.916621i \(0.630906\pi\)
\(588\) 3.63074 6.33487i 0.149729 0.261246i
\(589\) 11.3977 15.6876i 0.469634 0.646395i
\(590\) 4.39666 11.4512i 0.181008 0.471440i
\(591\) 5.47289 25.7479i 0.225124 1.05913i
\(592\) −0.674730 0.546385i −0.0277312 0.0224563i
\(593\) −9.16884 2.45678i −0.376519 0.100888i 0.0655960 0.997846i \(-0.479105\pi\)
−0.442115 + 0.896958i \(0.645772\pi\)
\(594\) 16.9904 + 0.298026i 0.697126 + 0.0122282i
\(595\) 8.14752 19.7543i 0.334016 0.809846i
\(596\) −17.5046 + 12.7178i −0.717016 + 0.520943i
\(597\) 0.362587 + 6.91857i 0.0148397 + 0.283158i
\(598\) 0.407522 + 0.0213573i 0.0166648 + 0.000873365i
\(599\) 14.2263 + 31.9527i 0.581269 + 1.30555i 0.929735 + 0.368230i \(0.120036\pi\)
−0.348466 + 0.937321i \(0.613297\pi\)
\(600\) −1.61094 4.96037i −0.0657663 0.202506i
\(601\) 24.6598 + 8.01245i 1.00589 + 0.326835i 0.765218 0.643771i \(-0.222631\pi\)
0.240676 + 0.970606i \(0.422631\pi\)
\(602\) 28.4832 + 17.3926i 1.16089 + 0.708868i
\(603\) 0.972787 + 0.154074i 0.0396149 + 0.00627439i
\(604\) −4.90671 + 2.83289i −0.199651 + 0.115269i
\(605\) −20.3950 + 13.7494i −0.829173 + 0.558991i
\(606\) 4.58714 7.94517i 0.186340 0.322750i
\(607\) 8.50338 + 22.1521i 0.345141 + 0.899124i 0.990780 + 0.135481i \(0.0432580\pi\)
−0.645638 + 0.763643i \(0.723409\pi\)
\(608\) −3.51449 1.79072i −0.142531 0.0726233i
\(609\) −16.8471 + 2.24511i −0.682681 + 0.0909765i
\(610\) −1.47693 3.84835i −0.0597990 0.155815i
\(611\) −0.126522 + 1.20378i −0.00511854 + 0.0486996i
\(612\) 0.361430 6.89650i 0.0146099 0.278774i
\(613\) −2.29988 3.54150i −0.0928911 0.143040i 0.789170 0.614175i \(-0.210511\pi\)
−0.882061 + 0.471135i \(0.843844\pi\)
\(614\) −29.0134 12.9176i −1.17089 0.521312i
\(615\) 24.4790 + 15.8994i 0.987090 + 0.641124i
\(616\) 3.65087 + 7.97942i 0.147098 + 0.321500i
\(617\) −13.8085 + 13.8085i −0.555911 + 0.555911i −0.928141 0.372230i \(-0.878593\pi\)
0.372230 + 0.928141i \(0.378593\pi\)
\(618\) 0.262854 + 0.684757i 0.0105735 + 0.0275450i
\(619\) −25.3192 5.38175i −1.01766 0.216311i −0.331266 0.943538i \(-0.607476\pi\)
−0.686397 + 0.727227i \(0.740809\pi\)
\(620\) 8.89277 + 6.46195i 0.357142 + 0.259518i
\(621\) 9.31507 + 0.979054i 0.373801 + 0.0392881i
\(622\) −1.76275 11.1296i −0.0706800 0.446256i
\(623\) 6.43257 + 15.4603i 0.257716 + 0.619405i
\(624\) −0.221449 + 0.0719531i −0.00886504 + 0.00288043i
\(625\) 22.8415 10.1619i 0.913662 0.406475i
\(626\) −6.10082 3.52231i −0.243838 0.140780i
\(627\) −10.4525 8.77217i −0.417431 0.350327i
\(628\) −20.7546 5.56118i −0.828199 0.221915i
\(629\) −2.53703 + 1.84326i −0.101158 + 0.0734955i
\(630\) 11.2779 + 0.870437i 0.449322 + 0.0346790i
\(631\) 10.9374 33.6620i 0.435412 1.34006i −0.457251 0.889338i \(-0.651166\pi\)
0.892663 0.450724i \(-0.148834\pi\)
\(632\) −9.22494 11.3918i −0.366948 0.453143i
\(633\) −5.09049 + 13.2612i −0.202329 + 0.527084i
\(634\) 18.5615 16.7129i 0.737172 0.663753i
\(635\) 7.67068 + 28.6356i 0.304402 + 1.13637i
\(636\) −7.33014 10.0891i −0.290659 0.400058i
\(637\) 0.631042 1.42951i 0.0250028 0.0566392i
\(638\) 9.59086 18.0341i 0.379706 0.713975i
\(639\) 3.16365 1.82653i 0.125152 0.0722565i
\(640\) 1.01530 1.99228i 0.0401331 0.0787517i
\(641\) 32.1299 + 6.82943i 1.26906 + 0.269746i 0.792758 0.609537i \(-0.208645\pi\)
0.476299 + 0.879283i \(0.341978\pi\)
\(642\) 14.8989 + 9.67545i 0.588012 + 0.381859i
\(643\) 39.7994 6.30361i 1.56954 0.248590i 0.689781 0.724018i \(-0.257707\pi\)
0.879755 + 0.475428i \(0.157707\pi\)
\(644\) 1.62173 + 4.55668i 0.0639051 + 0.179558i
\(645\) 3.07742 29.2595i 0.121173 1.15209i
\(646\) −9.53306 + 10.5875i −0.375073 + 0.416561i
\(647\) −20.9529 + 25.8747i −0.823745 + 1.01724i 0.175717 + 0.984441i \(0.443776\pi\)
−0.999462 + 0.0327999i \(0.989558\pi\)
\(648\) 0.378283 0.101361i 0.0148604 0.00398183i
\(649\) 17.8599 3.47001i 0.701061 0.136210i
\(650\) −0.453829 1.01971i −0.0178007 0.0399963i
\(651\) 11.5565 7.10704i 0.452936 0.278547i
\(652\) 0.0500780 + 0.0255160i 0.00196120 + 0.000999283i
\(653\) −3.71717 2.41396i −0.145464 0.0944656i 0.469855 0.882744i \(-0.344306\pi\)
−0.615319 + 0.788278i \(0.710973\pi\)
\(654\) −9.43092 + 4.19891i −0.368778 + 0.164191i
\(655\) −19.8996 27.3936i −0.777542 1.07036i
\(656\) 2.60195 + 12.2412i 0.101589 + 0.477939i
\(657\) 11.4652 22.5017i 0.447300 0.877876i
\(658\) −13.7488 + 4.09627i −0.535984 + 0.159689i
\(659\) 16.8122i 0.654911i −0.944867 0.327455i \(-0.893809\pi\)
0.944867 0.327455i \(-0.106191\pi\)
\(660\) 4.97334 5.92510i 0.193587 0.230634i
\(661\) −28.0872 16.2162i −1.09247 0.630736i −0.158234 0.987402i \(-0.550580\pi\)
−0.934232 + 0.356666i \(0.883913\pi\)
\(662\) −6.05395 4.90239i −0.235293 0.190537i
\(663\) 0.0440156 + 0.839868i 0.00170943 + 0.0326178i
\(664\) 1.91755 5.90160i 0.0744153 0.229027i
\(665\) −16.9512 16.0374i −0.657338 0.621905i
\(666\) −1.34298 0.975731i −0.0520394 0.0378088i
\(667\) 6.13180 9.44214i 0.237424 0.365601i
\(668\) 6.66878 4.33076i 0.258023 0.167562i
\(669\) 18.9849 1.99539i 0.733997 0.0771462i
\(670\) 0.856052 0.770682i 0.0330722 0.0297740i
\(671\) 3.67989 4.88251i 0.142061 0.188487i
\(672\) −1.79562 2.09568i −0.0692677 0.0808425i
\(673\) 14.4402 + 2.28711i 0.556631 + 0.0881616i 0.428411 0.903584i \(-0.359074\pi\)
0.128220 + 0.991746i \(0.459074\pi\)
\(674\) 10.9133 + 9.82642i 0.420366 + 0.378500i
\(675\) −9.17724 23.9177i −0.353232 0.920595i
\(676\) 11.8306 5.26731i 0.455022 0.202589i
\(677\) −29.7287 + 24.0738i −1.14257 + 0.925233i −0.997934 0.0642528i \(-0.979534\pi\)
−0.144633 + 0.989485i \(0.546200\pi\)
\(678\) 3.03430 + 5.95515i 0.116532 + 0.228706i
\(679\) 0.270664 + 0.0797084i 0.0103871 + 0.00305893i
\(680\) −6.00165 5.40469i −0.230153 0.207260i
\(681\) 5.62476 + 9.74238i 0.215541 + 0.373329i
\(682\) −1.13875 + 16.2649i −0.0436051 + 0.622815i
\(683\) −16.0334 + 4.29613i −0.613500 + 0.164387i −0.552171 0.833731i \(-0.686201\pi\)
−0.0613289 + 0.998118i \(0.519534\pi\)
\(684\) −6.88962 3.06746i −0.263431 0.117287i
\(685\) 0.530747 + 0.142254i 0.0202788 + 0.00543525i
\(686\) 18.5160 + 0.396858i 0.706944 + 0.0151521i
\(687\) 11.5500 1.82934i 0.440660 0.0697937i
\(688\) 9.80294 7.93826i 0.373733 0.302643i
\(689\) −1.78581 1.98334i −0.0680340 0.0755594i
\(690\) 3.01520 3.01477i 0.114787 0.114770i
\(691\) −3.48732 + 7.83264i −0.132664 + 0.297968i −0.967647 0.252308i \(-0.918811\pi\)
0.834983 + 0.550275i \(0.185477\pi\)
\(692\) 4.93594 + 4.93594i 0.187636 + 0.187636i
\(693\) 7.76930 + 14.8703i 0.295131 + 0.564875i
\(694\) 14.3278i 0.543874i
\(695\) 1.85303 + 0.394012i 0.0702893 + 0.0149457i
\(696\) −1.33561 + 6.28354i −0.0506261 + 0.238177i
\(697\) 45.1403 + 2.36570i 1.70981 + 0.0896074i
\(698\) 12.5889 + 15.5460i 0.476498 + 0.588426i
\(699\) −23.6575 17.1882i −0.894809 0.650116i
\(700\) 9.09225 9.60891i 0.343655 0.363183i
\(701\) 6.73872 + 20.7397i 0.254518 + 0.783326i 0.993924 + 0.110067i \(0.0351064\pi\)
−0.739406 + 0.673260i \(0.764894\pi\)
\(702\) −1.06776 + 0.409876i −0.0403002 + 0.0154698i
\(703\) 0.886349 + 3.30790i 0.0334293 + 0.124760i
\(704\) 3.30403 0.288780i 0.124525 0.0108838i
\(705\) 8.46179 + 9.39912i 0.318689 + 0.353991i
\(706\) 3.94066 + 5.42385i 0.148309 + 0.204129i
\(707\) 23.2633 + 0.572315i 0.874908 + 0.0215241i
\(708\) −5.09831 + 2.59772i −0.191606 + 0.0976283i
\(709\) 6.97141 + 0.732725i 0.261817 + 0.0275181i 0.234527 0.972110i \(-0.424646\pi\)
0.0272894 + 0.999628i \(0.491312\pi\)
\(710\) 0.668631 4.21962i 0.0250933 0.158359i
\(711\) −18.7537 20.8281i −0.703318 0.781114i
\(712\) 6.32039 0.331238i 0.236867 0.0124137i
\(713\) −1.40587 + 8.87634i −0.0526504 + 0.332422i
\(714\) −8.99014 + 4.30556i −0.336448 + 0.161132i
\(715\) 0.925962 1.37233i 0.0346290 0.0513222i
\(716\) 0.329816 + 0.571259i 0.0123258 + 0.0213489i
\(717\) 6.95183 8.58480i 0.259621 0.320605i
\(718\) −12.8170 19.7364i −0.478326 0.736558i
\(719\) 25.4261 5.40448i 0.948233 0.201553i 0.292261 0.956339i \(-0.405592\pi\)
0.655972 + 0.754785i \(0.272259\pi\)
\(720\) 1.73921 3.90558i 0.0648165 0.145552i
\(721\) −1.20602 + 1.41660i −0.0449145 + 0.0527570i
\(722\) −1.56249 3.06657i −0.0581500 0.114126i
\(723\) 14.3395 0.751499i 0.533290 0.0279485i
\(724\) 1.08414 + 10.3149i 0.0402917 + 0.383350i
\(725\) −30.6238 3.22313i −1.13734 0.119704i
\(726\) 11.3619 + 1.59880i 0.421681 + 0.0593372i
\(727\) −21.5364 21.5364i −0.798742 0.798742i 0.184155 0.982897i \(-0.441045\pi\)
−0.982897 + 0.184155i \(0.941045\pi\)
\(728\) −0.429054 0.405868i −0.0159018 0.0150425i
\(729\) −14.5361 + 4.72307i −0.538375 + 0.174929i
\(730\) −12.0110 26.9824i −0.444547 0.998662i
\(731\) −18.5313 41.6221i −0.685407 1.53945i
\(732\) −0.689085 + 1.79513i −0.0254693 + 0.0663499i
\(733\) −8.18356 + 12.6016i −0.302267 + 0.465450i −0.956867 0.290525i \(-0.906170\pi\)
0.654601 + 0.755975i \(0.272837\pi\)
\(734\) −5.13839 15.8143i −0.189662 0.583718i
\(735\) −6.68684 14.8946i −0.246648 0.549397i
\(736\) 1.82809 0.0673842
\(737\) 1.64226 + 0.471062i 0.0604933 + 0.0173518i
\(738\) 6.19299 + 23.1126i 0.227967 + 0.850785i
\(739\) −38.6613 + 4.06347i −1.42218 + 0.149477i −0.784167 0.620550i \(-0.786910\pi\)
−0.638012 + 0.770027i \(0.720243\pi\)
\(740\) −1.87527 + 0.502334i −0.0689364 + 0.0184662i
\(741\) 0.873483 + 0.283812i 0.0320882 + 0.0104261i
\(742\) 13.5726 28.5720i 0.498267 1.04891i
\(743\) 3.73015 + 23.5513i 0.136846 + 0.864012i 0.956623 + 0.291329i \(0.0940974\pi\)
−0.819777 + 0.572683i \(0.805903\pi\)
\(744\) −1.06614 5.01579i −0.0390865 0.183888i
\(745\) −0.00346180 + 48.3815i −0.000126831 + 1.77256i
\(746\) 0.349242 + 3.32282i 0.0127867 + 0.121657i
\(747\) 3.07075 11.4602i 0.112353 0.419306i
\(748\) 2.08122 11.7973i 0.0760969 0.431351i
\(749\) −3.46426 + 44.9269i −0.126581 + 1.64159i
\(750\) −11.0904 3.60614i −0.404966 0.131677i
\(751\) −7.96915 + 8.85064i −0.290799 + 0.322964i −0.870787 0.491660i \(-0.836390\pi\)
0.579989 + 0.814625i \(0.303057\pi\)
\(752\) −0.283781 + 5.41486i −0.0103484 + 0.197460i
\(753\) 18.0245 + 6.91897i 0.656850 + 0.252141i
\(754\) −0.143703 + 1.36724i −0.00523335 + 0.0497920i
\(755\) −1.32518 + 12.5996i −0.0482283 + 0.458546i
\(756\) −9.34672 9.81821i −0.339937 0.357085i
\(757\) −0.503469 + 3.17878i −0.0182989 + 0.115535i −0.995147 0.0983994i \(-0.968628\pi\)
0.976848 + 0.213934i \(0.0686277\pi\)
\(758\) 6.58248 24.5661i 0.239086 0.892282i
\(759\) 6.16207 + 1.42318i 0.223669 + 0.0516583i
\(760\) −7.85892 + 4.00361i −0.285073 + 0.145226i
\(761\) −2.98269 + 6.69922i −0.108122 + 0.242847i −0.959501 0.281705i \(-0.909100\pi\)
0.851379 + 0.524551i \(0.175767\pi\)
\(762\) 6.27817 12.3216i 0.227434 0.446365i
\(763\) −20.7993 15.9076i −0.752985 0.575894i
\(764\) 11.0944 15.2701i 0.401381 0.552454i
\(765\) −12.0001 9.71895i −0.433866 0.351389i
\(766\) −0.468465 + 0.421808i −0.0169263 + 0.0152405i
\(767\) −1.02699 + 0.666938i −0.0370826 + 0.0240817i
\(768\) −0.973800 + 0.373807i −0.0351390 + 0.0134886i
\(769\) −14.0009 −0.504886 −0.252443 0.967612i \(-0.581234\pi\)
−0.252443 + 0.967612i \(0.581234\pi\)
\(770\) 19.2331 + 3.88446i 0.693112 + 0.139986i
\(771\) −30.9928 −1.11618
\(772\)