Properties

Label 483.2.y.b.163.7
Level $483$
Weight $2$
Character 483.163
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 163.7
Character \(\chi\) \(=\) 483.163
Dual form 483.2.y.b.403.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.818913 + 0.422179i) q^{2} +(-0.786053 + 0.618159i) q^{3} +(-0.667730 + 0.937696i) q^{4} +(2.57491 - 2.45517i) q^{5} +(0.382736 - 0.838074i) q^{6} +(-2.33165 + 1.25037i) q^{7} +(0.413176 - 2.87370i) q^{8} +(0.235759 - 0.971812i) q^{9} +O(q^{10})\) \(q+(-0.818913 + 0.422179i) q^{2} +(-0.786053 + 0.618159i) q^{3} +(-0.667730 + 0.937696i) q^{4} +(2.57491 - 2.45517i) q^{5} +(0.382736 - 0.838074i) q^{6} +(-2.33165 + 1.25037i) q^{7} +(0.413176 - 2.87370i) q^{8} +(0.235759 - 0.971812i) q^{9} +(-1.07211 + 3.09764i) q^{10} +(1.66746 + 0.859638i) q^{11} +(-0.0547737 - 1.14984i) q^{12} +(-4.13780 - 4.77527i) q^{13} +(1.38154 - 2.00832i) q^{14} +(-0.506329 + 3.52160i) q^{15} +(0.121856 + 0.352081i) q^{16} +(-6.90505 + 0.659352i) q^{17} +(0.217212 + 0.895362i) q^{18} +(3.32955 + 0.317933i) q^{19} +(0.582859 + 4.05387i) q^{20} +(1.05987 - 2.42418i) q^{21} -1.72843 q^{22} +(-0.621743 - 4.75536i) q^{23} +(1.45163 + 2.51429i) q^{24} +(0.364383 - 7.64935i) q^{25} +(5.40452 + 2.16364i) q^{26} +(0.415415 + 0.909632i) q^{27} +(0.384447 - 3.02128i) q^{28} +(2.46382 - 5.39502i) q^{29} +(-1.07211 - 3.09764i) q^{30} +(0.474880 - 0.190113i) q^{31} +(3.95394 + 3.77007i) q^{32} +(-1.84211 + 0.355037i) q^{33} +(5.37627 - 3.45512i) q^{34} +(-2.93391 + 8.94418i) q^{35} +(0.753840 + 0.869978i) q^{36} +(0.772056 - 3.18246i) q^{37} +(-2.86084 + 1.14531i) q^{38} +(6.20441 + 1.19580i) q^{39} +(-5.99154 - 8.41394i) q^{40} +(1.00259 + 0.294386i) q^{41} +(0.155496 + 2.43265i) q^{42} +(-1.52897 - 10.6342i) q^{43} +(-1.91949 + 0.989568i) q^{44} +(-1.77891 - 3.08115i) q^{45} +(2.51677 + 3.63174i) q^{46} +(-1.36200 + 2.35906i) q^{47} +(-0.313428 - 0.201428i) q^{48} +(3.87316 - 5.83083i) q^{49} +(2.93100 + 6.41799i) q^{50} +(5.02015 - 4.78670i) q^{51} +(7.24069 - 0.691402i) q^{52} +(5.77683 + 1.11339i) q^{53} +(-0.724217 - 0.569530i) q^{54} +(6.40413 - 1.88042i) q^{55} +(2.62980 + 7.21709i) q^{56} +(-2.81373 + 1.80828i) q^{57} +(0.260007 + 5.45823i) q^{58} +(0.0403853 - 0.116686i) q^{59} +(-2.96410 - 2.82626i) q^{60} +(1.78198 + 1.40137i) q^{61} +(-0.308624 + 0.356171i) q^{62} +(0.665415 + 2.56071i) q^{63} +(-5.54454 - 1.62802i) q^{64} +(-22.3786 - 2.13689i) q^{65} +(1.35864 - 1.06844i) q^{66} +(0.498242 - 10.4594i) q^{67} +(3.99244 - 6.91510i) q^{68} +(3.42829 + 3.35363i) q^{69} +(-1.37342 - 8.56314i) q^{70} +(4.06977 + 2.61548i) q^{71} +(-2.69529 - 1.07903i) q^{72} +(-4.95647 + 6.96038i) q^{73} +(0.711320 + 2.93210i) q^{74} +(4.44209 + 6.23804i) q^{75} +(-2.52136 + 2.90981i) q^{76} +(-4.96280 + 0.0805716i) q^{77} +(-5.58572 + 1.64011i) q^{78} +(-14.0881 + 2.71527i) q^{79} +(1.17819 + 0.607398i) q^{80} +(-0.888835 - 0.458227i) q^{81} +(-0.945314 + 0.182194i) q^{82} +(-3.15117 + 0.925268i) q^{83} +(1.56544 + 2.61254i) q^{84} +(-16.1610 + 18.6508i) q^{85} +(5.74163 + 8.06299i) q^{86} +(1.39828 + 5.76381i) q^{87} +(3.15930 - 4.43662i) q^{88} +(-16.1411 - 6.46192i) q^{89} +(2.75757 + 1.77218i) q^{90} +(15.6187 + 5.96049i) q^{91} +(4.87424 + 2.59229i) q^{92} +(-0.255761 + 0.442991i) q^{93} +(0.119417 - 2.50687i) q^{94} +(9.35386 - 7.35596i) q^{95} +(-5.43851 - 0.519314i) q^{96} +(-10.8456 - 3.18457i) q^{97} +(-0.710127 + 6.41012i) q^{98} +(1.22853 - 1.41779i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.818913 + 0.422179i −0.579059 + 0.298526i −0.722764 0.691095i \(-0.757129\pi\)
0.143705 + 0.989621i \(0.454098\pi\)
\(3\) −0.786053 + 0.618159i −0.453828 + 0.356894i
\(4\) −0.667730 + 0.937696i −0.333865 + 0.468848i
\(5\) 2.57491 2.45517i 1.15153 1.09799i 0.157657 0.987494i \(-0.449606\pi\)
0.993877 0.110492i \(-0.0352426\pi\)
\(6\) 0.382736 0.838074i 0.156251 0.342142i
\(7\) −2.33165 + 1.25037i −0.881280 + 0.472595i
\(8\) 0.413176 2.87370i 0.146080 1.01601i
\(9\) 0.235759 0.971812i 0.0785863 0.323937i
\(10\) −1.07211 + 3.09764i −0.339029 + 0.979561i
\(11\) 1.66746 + 0.859638i 0.502759 + 0.259190i 0.690898 0.722952i \(-0.257215\pi\)
−0.188139 + 0.982142i \(0.560246\pi\)
\(12\) −0.0547737 1.14984i −0.0158118 0.331931i
\(13\) −4.13780 4.77527i −1.14762 1.32442i −0.937998 0.346640i \(-0.887323\pi\)
−0.209621 0.977783i \(-0.567223\pi\)
\(14\) 1.38154 2.00832i 0.369232 0.536745i
\(15\) −0.506329 + 3.52160i −0.130734 + 0.909273i
\(16\) 0.121856 + 0.352081i 0.0304641 + 0.0880202i
\(17\) −6.90505 + 0.659352i −1.67472 + 0.159916i −0.888764 0.458366i \(-0.848435\pi\)
−0.785956 + 0.618282i \(0.787829\pi\)
\(18\) 0.217212 + 0.895362i 0.0511975 + 0.211039i
\(19\) 3.32955 + 0.317933i 0.763851 + 0.0729389i 0.469707 0.882822i \(-0.344360\pi\)
0.294144 + 0.955761i \(0.404966\pi\)
\(20\) 0.582859 + 4.05387i 0.130331 + 0.906473i
\(21\) 1.05987 2.42418i 0.231283 0.529000i
\(22\) −1.72843 −0.368502
\(23\) −0.621743 4.75536i −0.129642 0.991561i
\(24\) 1.45163 + 2.51429i 0.296312 + 0.513228i
\(25\) 0.364383 7.64935i 0.0728767 1.52987i
\(26\) 5.40452 + 2.16364i 1.05991 + 0.424325i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) 0.384447 3.02128i 0.0726536 0.570969i
\(29\) 2.46382 5.39502i 0.457521 1.00183i −0.530525 0.847669i \(-0.678005\pi\)
0.988046 0.154161i \(-0.0492675\pi\)
\(30\) −1.07211 3.09764i −0.195739 0.565550i
\(31\) 0.474880 0.190113i 0.0852910 0.0341454i −0.328625 0.944461i \(-0.606585\pi\)
0.413916 + 0.910315i \(0.364161\pi\)
\(32\) 3.95394 + 3.77007i 0.698964 + 0.666461i
\(33\) −1.84211 + 0.355037i −0.320670 + 0.0618040i
\(34\) 5.37627 3.45512i 0.922023 0.592548i
\(35\) −2.93391 + 8.94418i −0.495922 + 1.51184i
\(36\) 0.753840 + 0.869978i 0.125640 + 0.144996i
\(37\) 0.772056 3.18246i 0.126925 0.523193i −0.872478 0.488653i \(-0.837488\pi\)
0.999403 0.0345396i \(-0.0109965\pi\)
\(38\) −2.86084 + 1.14531i −0.464089 + 0.185793i
\(39\) 6.20441 + 1.19580i 0.993500 + 0.191482i
\(40\) −5.99154 8.41394i −0.947346 1.33036i
\(41\) 1.00259 + 0.294386i 0.156578 + 0.0459753i 0.359082 0.933306i \(-0.383090\pi\)
−0.202504 + 0.979281i \(0.564908\pi\)
\(42\) 0.155496 + 2.43265i 0.0239936 + 0.375367i
\(43\) −1.52897 10.6342i −0.233165 1.62170i −0.684270 0.729229i \(-0.739879\pi\)
0.451104 0.892471i \(-0.351030\pi\)
\(44\) −1.91949 + 0.989568i −0.289375 + 0.149183i
\(45\) −1.77891 3.08115i −0.265184 0.459311i
\(46\) 2.51677 + 3.63174i 0.371077 + 0.535471i
\(47\) −1.36200 + 2.35906i −0.198668 + 0.344104i −0.948097 0.317981i \(-0.896995\pi\)
0.749429 + 0.662085i \(0.230328\pi\)
\(48\) −0.313428 0.201428i −0.0452394 0.0290736i
\(49\) 3.87316 5.83083i 0.553309 0.832976i
\(50\) 2.93100 + 6.41799i 0.414505 + 0.907640i
\(51\) 5.02015 4.78670i 0.702961 0.670272i
\(52\) 7.24069 0.691402i 1.00410 0.0958802i
\(53\) 5.77683 + 1.11339i 0.793509 + 0.152936i 0.569869 0.821736i \(-0.306994\pi\)
0.223640 + 0.974672i \(0.428206\pi\)
\(54\) −0.724217 0.569530i −0.0985534 0.0775032i
\(55\) 6.40413 1.88042i 0.863532 0.253556i
\(56\) 2.62980 + 7.21709i 0.351422 + 0.964424i
\(57\) −2.81373 + 1.80828i −0.372688 + 0.239512i
\(58\) 0.260007 + 5.45823i 0.0341407 + 0.716701i
\(59\) 0.0403853 0.116686i 0.00525772 0.0151912i −0.942341 0.334653i \(-0.891381\pi\)
0.947599 + 0.319462i \(0.103502\pi\)
\(60\) −2.96410 2.82626i −0.382663 0.364869i
\(61\) 1.78198 + 1.40137i 0.228160 + 0.179427i 0.725694 0.688017i \(-0.241519\pi\)
−0.497534 + 0.867444i \(0.665761\pi\)
\(62\) −0.308624 + 0.356171i −0.0391953 + 0.0452337i
\(63\) 0.665415 + 2.56071i 0.0838344 + 0.322619i
\(64\) −5.54454 1.62802i −0.693067 0.203503i
\(65\) −22.3786 2.13689i −2.77572 0.265049i
\(66\) 1.35864 1.06844i 0.167237 0.131516i
\(67\) 0.498242 10.4594i 0.0608699 1.27782i −0.737375 0.675484i \(-0.763935\pi\)
0.798245 0.602333i \(-0.205762\pi\)
\(68\) 3.99244 6.91510i 0.484154 0.838579i
\(69\) 3.42829 + 3.35363i 0.412718 + 0.403729i
\(70\) −1.37342 8.56314i −0.164155 1.02349i
\(71\) 4.06977 + 2.61548i 0.482992 + 0.310400i 0.759382 0.650645i \(-0.225502\pi\)
−0.276389 + 0.961046i \(0.589138\pi\)
\(72\) −2.69529 1.07903i −0.317643 0.127165i
\(73\) −4.95647 + 6.96038i −0.580111 + 0.814651i −0.995477 0.0950028i \(-0.969714\pi\)
0.415366 + 0.909654i \(0.363653\pi\)
\(74\) 0.711320 + 2.93210i 0.0826893 + 0.340850i
\(75\) 4.44209 + 6.23804i 0.512928 + 0.720307i
\(76\) −2.52136 + 2.90981i −0.289220 + 0.333778i
\(77\) −4.96280 + 0.0805716i −0.565564 + 0.00918199i
\(78\) −5.58572 + 1.64011i −0.632458 + 0.185706i
\(79\) −14.0881 + 2.71527i −1.58504 + 0.305491i −0.904255 0.426993i \(-0.859573\pi\)
−0.680784 + 0.732484i \(0.738361\pi\)
\(80\) 1.17819 + 0.607398i 0.131725 + 0.0679092i
\(81\) −0.888835 0.458227i −0.0987595 0.0509141i
\(82\) −0.945314 + 0.182194i −0.104392 + 0.0201200i
\(83\) −3.15117 + 0.925268i −0.345886 + 0.101561i −0.450061 0.892998i \(-0.648598\pi\)
0.104175 + 0.994559i \(0.466780\pi\)
\(84\) 1.56544 + 2.61254i 0.170803 + 0.285051i
\(85\) −16.1610 + 18.6508i −1.75291 + 2.02297i
\(86\) 5.74163 + 8.06299i 0.619136 + 0.869455i
\(87\) 1.39828 + 5.76381i 0.149912 + 0.617945i
\(88\) 3.15930 4.43662i 0.336782 0.472945i
\(89\) −16.1411 6.46192i −1.71095 0.684962i −0.711116 0.703075i \(-0.751810\pi\)
−0.999836 + 0.0181130i \(0.994234\pi\)
\(90\) 2.75757 + 1.77218i 0.290673 + 0.186804i
\(91\) 15.6187 + 5.96049i 1.63729 + 0.624829i
\(92\) 4.87424 + 2.59229i 0.508174 + 0.270265i
\(93\) −0.255761 + 0.442991i −0.0265212 + 0.0459360i
\(94\) 0.119417 2.50687i 0.0123169 0.258564i
\(95\) 9.35386 7.35596i 0.959686 0.754705i
\(96\) −5.43851 0.519314i −0.555065 0.0530023i
\(97\) −10.8456 3.18457i −1.10121 0.323344i −0.319876 0.947460i \(-0.603641\pi\)
−0.781332 + 0.624116i \(0.785459\pi\)
\(98\) −0.710127 + 6.41012i −0.0717336 + 0.647519i
\(99\) 1.22853 1.41779i 0.123471 0.142494i
\(100\) 6.92945 + 5.44938i 0.692945 + 0.544938i
\(101\) 0.310311 + 0.295881i 0.0308771 + 0.0294412i 0.705361 0.708849i \(-0.250785\pi\)
−0.674483 + 0.738290i \(0.735634\pi\)
\(102\) −2.09022 + 6.03930i −0.206963 + 0.597979i
\(103\) 0.718664 + 15.0866i 0.0708121 + 1.48653i 0.702710 + 0.711477i \(0.251973\pi\)
−0.631898 + 0.775052i \(0.717724\pi\)
\(104\) −15.4324 + 9.91778i −1.51327 + 0.972518i
\(105\) −3.22271 8.84422i −0.314504 0.863108i
\(106\) −5.20077 + 1.52708i −0.505144 + 0.148324i
\(107\) 15.9283 + 12.5262i 1.53985 + 1.21095i 0.894502 + 0.447064i \(0.147530\pi\)
0.645348 + 0.763888i \(0.276712\pi\)
\(108\) −1.13034 0.217856i −0.108767 0.0209632i
\(109\) 2.48678 0.237459i 0.238190 0.0227444i 0.0247219 0.999694i \(-0.492130\pi\)
0.213469 + 0.976950i \(0.431524\pi\)
\(110\) −4.45055 + 4.24359i −0.424343 + 0.404610i
\(111\) 1.36039 + 2.97883i 0.129122 + 0.282738i
\(112\) −0.724357 0.668563i −0.0684453 0.0631733i
\(113\) 12.4279 + 7.98691i 1.16912 + 0.751345i 0.973354 0.229306i \(-0.0736457\pi\)
0.195762 + 0.980651i \(0.437282\pi\)
\(114\) 1.54079 2.66872i 0.144308 0.249949i
\(115\) −13.2761 10.7181i −1.23801 0.999471i
\(116\) 3.41372 + 5.91273i 0.316956 + 0.548984i
\(117\) −5.61619 + 2.89535i −0.519217 + 0.267675i
\(118\) 0.0161902 + 0.112605i 0.00149043 + 0.0103662i
\(119\) 15.2757 10.1712i 1.40032 0.932395i
\(120\) 9.91082 + 2.91008i 0.904730 + 0.265653i
\(121\) −4.33917 6.09351i −0.394470 0.553955i
\(122\) −2.05092 0.395282i −0.185681 0.0357872i
\(123\) −0.970063 + 0.388354i −0.0874676 + 0.0350167i
\(124\) −0.138823 + 0.572237i −0.0124667 + 0.0513884i
\(125\) −6.19284 7.14692i −0.553905 0.639240i
\(126\) −1.62599 1.81607i −0.144855 0.161789i
\(127\) −1.13632 + 0.730267i −0.100832 + 0.0648007i −0.590085 0.807341i \(-0.700906\pi\)
0.489253 + 0.872142i \(0.337269\pi\)
\(128\) −5.50122 + 1.06027i −0.486244 + 0.0937158i
\(129\) 7.77548 + 7.41390i 0.684593 + 0.652758i
\(130\) 19.2283 7.69783i 1.68643 0.675145i
\(131\) −2.20346 6.36647i −0.192517 0.556241i 0.806889 0.590703i \(-0.201149\pi\)
−0.999406 + 0.0344621i \(0.989028\pi\)
\(132\) 0.897114 1.96441i 0.0780838 0.170980i
\(133\) −8.16086 + 3.42185i −0.707637 + 0.296712i
\(134\) 4.00772 + 8.77568i 0.346214 + 0.758103i
\(135\) 3.30296 + 1.32230i 0.284273 + 0.113806i
\(136\) −0.958219 + 20.1155i −0.0821666 + 1.72489i
\(137\) −6.08983 10.5479i −0.520289 0.901167i −0.999722 0.0235883i \(-0.992491\pi\)
0.479433 0.877579i \(-0.340842\pi\)
\(138\) −4.22330 1.29898i −0.359512 0.110576i
\(139\) −3.19070 −0.270632 −0.135316 0.990803i \(-0.543205\pi\)
−0.135316 + 0.990803i \(0.543205\pi\)
\(140\) −6.42785 8.72341i −0.543253 0.737263i
\(141\) −0.387666 2.69628i −0.0326474 0.227068i
\(142\) −4.43699 0.423681i −0.372344 0.0355545i
\(143\) −2.79463 11.5196i −0.233698 0.963318i
\(144\) 0.370885 0.0354152i 0.0309071 0.00295127i
\(145\) −6.90158 19.9408i −0.573145 1.65599i
\(146\) 1.12039 7.79247i 0.0927240 0.644909i
\(147\) 0.559872 + 6.97757i 0.0461775 + 0.575501i
\(148\) 2.46865 + 2.84898i 0.202922 + 0.234184i
\(149\) 0.348554 + 7.31705i 0.0285546 + 0.599436i 0.967118 + 0.254328i \(0.0818544\pi\)
−0.938563 + 0.345107i \(0.887843\pi\)
\(150\) −6.27125 3.23306i −0.512046 0.263978i
\(151\) −5.03448 + 14.5462i −0.409700 + 1.18375i 0.531838 + 0.846846i \(0.321501\pi\)
−0.941539 + 0.336905i \(0.890620\pi\)
\(152\) 2.28934 9.43677i 0.185690 0.765423i
\(153\) −0.987160 + 6.86585i −0.0798072 + 0.555071i
\(154\) 4.03009 2.16117i 0.324754 0.174152i
\(155\) 0.756012 1.65544i 0.0607244 0.132968i
\(156\) −5.26417 + 5.01937i −0.421471 + 0.401872i
\(157\) 1.66779 2.34208i 0.133104 0.186918i −0.742645 0.669685i \(-0.766429\pi\)
0.875749 + 0.482767i \(0.160368\pi\)
\(158\) 10.3906 8.17129i 0.826635 0.650073i
\(159\) −5.22915 + 2.69581i −0.414698 + 0.213792i
\(160\) 19.4372 1.53665
\(161\) 7.39563 + 10.3104i 0.582857 + 0.812574i
\(162\) 0.921333 0.0723867
\(163\) 17.9459 9.25173i 1.40563 0.724651i 0.422294 0.906459i \(-0.361225\pi\)
0.983334 + 0.181808i \(0.0581948\pi\)
\(164\) −0.945501 + 0.743550i −0.0738312 + 0.0580615i
\(165\) −3.87158 + 5.43688i −0.301402 + 0.423260i
\(166\) 2.18991 2.08807i 0.169970 0.162066i
\(167\) 3.44054 7.53373i 0.266237 0.582977i −0.728546 0.684997i \(-0.759803\pi\)
0.994782 + 0.102020i \(0.0325306\pi\)
\(168\) −6.52847 4.04737i −0.503683 0.312262i
\(169\) −3.83177 + 26.6506i −0.294752 + 2.05004i
\(170\) 5.36050 22.0963i 0.411131 1.69471i
\(171\) 1.09394 3.16074i 0.0836558 0.241708i
\(172\) 10.9926 + 5.66707i 0.838176 + 0.432110i
\(173\) 0.169900 + 3.56663i 0.0129172 + 0.271166i 0.996081 + 0.0884414i \(0.0281886\pi\)
−0.983164 + 0.182724i \(0.941508\pi\)
\(174\) −3.57843 4.12973i −0.271280 0.313074i
\(175\) 8.71488 + 18.2912i 0.658783 + 1.38268i
\(176\) −0.0994708 + 0.691835i −0.00749789 + 0.0521490i
\(177\) 0.0403853 + 0.116686i 0.00303554 + 0.00877063i
\(178\) 15.9462 1.52268i 1.19522 0.114130i
\(179\) −3.09871 12.7731i −0.231609 0.954703i −0.962299 0.271994i \(-0.912317\pi\)
0.730690 0.682709i \(-0.239198\pi\)
\(180\) 4.07701 + 0.389308i 0.303883 + 0.0290173i
\(181\) −1.05314 7.32476i −0.0782794 0.544445i −0.990792 0.135396i \(-0.956769\pi\)
0.912512 0.409050i \(-0.134140\pi\)
\(182\) −15.3068 + 1.71278i −1.13461 + 0.126960i
\(183\) −2.26700 −0.167582
\(184\) −13.9224 0.178096i −1.02637 0.0131294i
\(185\) −5.82550 10.0901i −0.428300 0.741837i
\(186\) 0.0224245 0.470748i 0.00164424 0.0345169i
\(187\) −12.0807 4.83639i −0.883430 0.353672i
\(188\) −1.30263 2.85236i −0.0950039 0.208029i
\(189\) −2.10598 1.60152i −0.153187 0.116493i
\(190\) −4.55447 + 9.97290i −0.330416 + 0.723510i
\(191\) 4.38858 + 12.6800i 0.317546 + 0.917490i 0.984957 + 0.172800i \(0.0552815\pi\)
−0.667410 + 0.744690i \(0.732597\pi\)
\(192\) 5.36468 2.14769i 0.387162 0.154996i
\(193\) −2.68869 2.56366i −0.193536 0.184536i 0.587115 0.809504i \(-0.300264\pi\)
−0.780651 + 0.624967i \(0.785112\pi\)
\(194\) 10.2261 1.97092i 0.734191 0.141504i
\(195\) 18.9117 12.1538i 1.35429 0.870352i
\(196\) 2.88132 + 7.52527i 0.205809 + 0.537519i
\(197\) 1.57845 + 1.82162i 0.112460 + 0.129785i 0.809188 0.587550i \(-0.199907\pi\)
−0.696729 + 0.717335i \(0.745362\pi\)
\(198\) −0.407493 + 1.67971i −0.0289592 + 0.119372i
\(199\) 1.37900 0.552067i 0.0977545 0.0391350i −0.322270 0.946648i \(-0.604446\pi\)
0.420024 + 0.907513i \(0.362022\pi\)
\(200\) −21.8314 4.20766i −1.54371 0.297526i
\(201\) 6.07392 + 8.52962i 0.428421 + 0.601633i
\(202\) −0.379032 0.111294i −0.0266686 0.00783061i
\(203\) 1.00099 + 15.6600i 0.0702559 + 1.09911i
\(204\) 1.13637 + 7.90360i 0.0795615 + 0.553362i
\(205\) 3.30433 1.70350i 0.230785 0.118978i
\(206\) −6.95778 12.0512i −0.484771 0.839649i
\(207\) −4.76789 0.516901i −0.331392 0.0359271i
\(208\) 1.17707 2.03874i 0.0816148 0.141361i
\(209\) 5.27859 + 3.39235i 0.365128 + 0.234653i
\(210\) 6.37297 + 5.88209i 0.439777 + 0.405903i
\(211\) −5.80636 12.7141i −0.399726 0.875278i −0.997298 0.0734627i \(-0.976595\pi\)
0.597572 0.801815i \(-0.296132\pi\)
\(212\) −4.90139 + 4.67346i −0.336629 + 0.320975i
\(213\) −4.81583 + 0.459856i −0.329975 + 0.0315088i
\(214\) −18.3322 3.53325i −1.25316 0.241528i
\(215\) −30.0457 23.6282i −2.04910 1.61143i
\(216\) 2.78565 0.817941i 0.189540 0.0556539i
\(217\) −0.869542 + 1.03705i −0.0590283 + 0.0703997i
\(218\) −1.93621 + 1.24433i −0.131137 + 0.0842763i
\(219\) −0.406578 8.53512i −0.0274740 0.576750i
\(220\) −2.51296 + 7.26073i −0.169424 + 0.489519i
\(221\) 31.7203 + 30.2452i 2.13374 + 2.03451i
\(222\) −2.37164 1.86508i −0.159174 0.125176i
\(223\) −2.89496 + 3.34096i −0.193861 + 0.223727i −0.844355 0.535784i \(-0.820016\pi\)
0.650495 + 0.759511i \(0.274562\pi\)
\(224\) −13.9332 3.84660i −0.930949 0.257012i
\(225\) −7.34782 2.15751i −0.489854 0.143834i
\(226\) −13.5493 1.29380i −0.901283 0.0860621i
\(227\) 3.28795 2.58567i 0.218229 0.171617i −0.503060 0.864252i \(-0.667792\pi\)
0.721289 + 0.692634i \(0.243550\pi\)
\(228\) 0.183201 3.84587i 0.0121328 0.254699i
\(229\) 14.3170 24.7979i 0.946097 1.63869i 0.192558 0.981286i \(-0.438322\pi\)
0.753539 0.657403i \(-0.228345\pi\)
\(230\) 15.3970 + 3.17231i 1.01525 + 0.209176i
\(231\) 3.85122 3.13113i 0.253392 0.206013i
\(232\) −14.4857 9.30939i −0.951032 0.611191i
\(233\) −2.15986 0.864678i −0.141497 0.0566470i 0.299833 0.953992i \(-0.403069\pi\)
−0.441330 + 0.897345i \(0.645493\pi\)
\(234\) 3.37682 4.74208i 0.220749 0.309999i
\(235\) 2.28486 + 9.41830i 0.149048 + 0.614382i
\(236\) 0.0824491 + 0.115784i 0.00536698 + 0.00753687i
\(237\) 9.39556 10.8431i 0.610307 0.704332i
\(238\) −8.21540 + 14.7784i −0.532525 + 0.957944i
\(239\) −9.88583 + 2.90274i −0.639461 + 0.187763i −0.585361 0.810773i \(-0.699047\pi\)
−0.0541003 + 0.998536i \(0.517229\pi\)
\(240\) −1.30159 + 0.250860i −0.0840171 + 0.0161930i
\(241\) −12.1432 6.26027i −0.782214 0.403259i 0.0203744 0.999792i \(-0.493514\pi\)
−0.802589 + 0.596533i \(0.796544\pi\)
\(242\) 6.12595 + 3.15815i 0.393791 + 0.203013i
\(243\) 0.981929 0.189251i 0.0629908 0.0121405i
\(244\) −2.50394 + 0.735223i −0.160298 + 0.0470679i
\(245\) −4.34266 24.5231i −0.277442 1.56673i
\(246\) 0.630442 0.727569i 0.0401955 0.0463881i
\(247\) −12.2588 17.2150i −0.780007 1.09537i
\(248\) −0.350120 1.44321i −0.0222326 0.0916442i
\(249\) 1.90503 2.67524i 0.120726 0.169536i
\(250\) 8.08868 + 3.23822i 0.511573 + 0.204803i
\(251\) 8.87586 + 5.70417i 0.560239 + 0.360044i 0.789908 0.613225i \(-0.210128\pi\)
−0.229669 + 0.973269i \(0.573764\pi\)
\(252\) −2.84548 1.08590i −0.179249 0.0684056i
\(253\) 3.05115 8.46386i 0.191824 0.532119i
\(254\) 0.622242 1.07775i 0.0390429 0.0676243i
\(255\) 1.17425 24.6506i 0.0735347 1.54368i
\(256\) 13.1420 10.3350i 0.821374 0.645936i
\(257\) 3.65642 + 0.349146i 0.228081 + 0.0217791i 0.208471 0.978029i \(-0.433151\pi\)
0.0196104 + 0.999808i \(0.493757\pi\)
\(258\) −9.49744 2.78870i −0.591285 0.173617i
\(259\) 2.17908 + 8.38572i 0.135401 + 0.521064i
\(260\) 16.9466 19.5574i 1.05098 1.21290i
\(261\) −4.66207 3.66630i −0.288575 0.226938i
\(262\) 4.49223 + 4.28333i 0.277531 + 0.264625i
\(263\) 0.732727 2.11708i 0.0451819 0.130544i −0.920153 0.391559i \(-0.871936\pi\)
0.965335 + 0.261015i \(0.0840571\pi\)
\(264\) 0.259157 + 5.44036i 0.0159500 + 0.334831i
\(265\) 17.6084 11.3162i 1.08167 0.695150i
\(266\) 5.23841 6.24755i 0.321187 0.383062i
\(267\) 16.6822 4.89835i 1.02094 0.299774i
\(268\) 9.47503 + 7.45124i 0.578779 + 0.455157i
\(269\) 18.2255 + 3.51268i 1.11123 + 0.214172i 0.711655 0.702529i \(-0.247946\pi\)
0.399574 + 0.916701i \(0.369158\pi\)
\(270\) −3.26309 + 0.311587i −0.198585 + 0.0189626i
\(271\) 7.02269 6.69612i 0.426598 0.406761i −0.446129 0.894969i \(-0.647198\pi\)
0.872727 + 0.488208i \(0.162349\pi\)
\(272\) −1.07357 2.35079i −0.0650947 0.142537i
\(273\) −15.9617 + 4.96960i −0.966045 + 0.300774i
\(274\) 9.44014 + 6.06681i 0.570300 + 0.366509i
\(275\) 7.18326 12.4418i 0.433167 0.750267i
\(276\) −5.43386 + 0.975375i −0.327080 + 0.0587107i
\(277\) 1.66556 + 2.88483i 0.100074 + 0.173333i 0.911715 0.410824i \(-0.134759\pi\)
−0.811641 + 0.584156i \(0.801425\pi\)
\(278\) 2.61291 1.34705i 0.156712 0.0807906i
\(279\) −0.0727971 0.506315i −0.00435825 0.0303123i
\(280\) 24.4907 + 12.1267i 1.46360 + 0.724710i
\(281\) 13.5072 + 3.96608i 0.805774 + 0.236596i 0.658579 0.752511i \(-0.271158\pi\)
0.147194 + 0.989108i \(0.452976\pi\)
\(282\) 1.45578 + 2.04435i 0.0866903 + 0.121739i
\(283\) −5.28773 1.01913i −0.314323 0.0605808i 0.0296500 0.999560i \(-0.490561\pi\)
−0.343973 + 0.938980i \(0.611773\pi\)
\(284\) −5.17003 + 2.06977i −0.306785 + 0.122818i
\(285\) −2.80548 + 11.5643i −0.166182 + 0.685013i
\(286\) 7.15189 + 8.25373i 0.422900 + 0.488053i
\(287\) −2.70577 + 0.567197i −0.159716 + 0.0334806i
\(288\) 4.59597 2.95365i 0.270820 0.174046i
\(289\) 30.5521 5.88844i 1.79718 0.346379i
\(290\) 14.0704 + 13.4161i 0.826241 + 0.787819i
\(291\) 10.4938 4.20109i 0.615158 0.246272i
\(292\) −3.21714 9.29532i −0.188269 0.543967i
\(293\) −10.6155 + 23.2448i −0.620167 + 1.35798i 0.295231 + 0.955426i \(0.404603\pi\)
−0.915398 + 0.402550i \(0.868124\pi\)
\(294\) −3.40427 5.47766i −0.198541 0.319464i
\(295\) −0.182495 0.399608i −0.0106253 0.0232661i
\(296\) −8.82644 3.53358i −0.513027 0.205385i
\(297\) −0.0892641 + 1.87389i −0.00517963 + 0.108734i
\(298\) −3.37454 5.84487i −0.195482 0.338584i
\(299\) −20.1355 + 22.6457i −1.16447 + 1.30964i
\(300\) −8.81550 −0.508963
\(301\) 16.8617 + 22.8834i 0.971891 + 1.31898i
\(302\) −2.01829 14.0375i −0.116140 0.807768i
\(303\) −0.426822 0.0407566i −0.0245203 0.00234140i
\(304\) 0.293788 + 1.21101i 0.0168499 + 0.0694563i
\(305\) 8.02904 0.766681i 0.459742 0.0439000i
\(306\) −2.09022 6.03930i −0.119490 0.345244i
\(307\) −0.716537 + 4.98362i −0.0408949 + 0.284430i 0.959104 + 0.283053i \(0.0913474\pi\)
−0.999999 + 0.00137690i \(0.999562\pi\)
\(308\) 3.23826 4.70740i 0.184517 0.268229i
\(309\) −9.89084 11.4146i −0.562670 0.649356i
\(310\) 0.0797821 + 1.67483i 0.00453132 + 0.0951240i
\(311\) 18.3896 + 9.48052i 1.04278 + 0.537591i 0.892498 0.451052i \(-0.148951\pi\)
0.150283 + 0.988643i \(0.451981\pi\)
\(312\) 5.99989 17.3356i 0.339677 0.981432i
\(313\) 4.45861 18.3786i 0.252015 1.03882i −0.695351 0.718670i \(-0.744751\pi\)
0.947366 0.320151i \(-0.103734\pi\)
\(314\) −0.376996 + 2.62206i −0.0212751 + 0.147972i
\(315\) 8.00036 + 4.95988i 0.450769 + 0.279458i
\(316\) 6.86098 15.0235i 0.385960 0.845135i
\(317\) 21.1411 20.1580i 1.18740 1.13219i 0.199052 0.979989i \(-0.436214\pi\)
0.988350 0.152197i \(-0.0486348\pi\)
\(318\) 3.14410 4.41527i 0.176313 0.247596i
\(319\) 8.74610 6.87801i 0.489688 0.385095i
\(320\) −18.2738 + 9.42077i −1.02153 + 0.526637i
\(321\) −20.2637 −1.13101
\(322\) −10.4092 5.32105i −0.580083 0.296531i
\(323\) −23.2003 −1.29090
\(324\) 1.02318 0.527486i 0.0568433 0.0293048i
\(325\) −38.0355 + 29.9114i −2.10983 + 1.65919i
\(326\) −10.7902 + 15.1527i −0.597614 + 0.839232i
\(327\) −1.80795 + 1.72388i −0.0999801 + 0.0953308i
\(328\) 1.26022 2.75950i 0.0695841 0.152368i
\(329\) 0.226020 7.20349i 0.0124609 0.397141i
\(330\) 0.875155 6.08683i 0.0481757 0.335069i
\(331\) −7.17862 + 29.5907i −0.394573 + 1.62645i 0.334769 + 0.942300i \(0.391342\pi\)
−0.729342 + 0.684150i \(0.760173\pi\)
\(332\) 1.23651 3.57267i 0.0678625 0.196076i
\(333\) −2.91073 1.50059i −0.159507 0.0822316i
\(334\) 0.363080 + 7.62199i 0.0198669 + 0.417057i
\(335\) −24.3966 28.1552i −1.33293 1.53828i
\(336\) 0.982661 + 0.0777586i 0.0536086 + 0.00424208i
\(337\) −0.595625 + 4.14266i −0.0324458 + 0.225665i −0.999592 0.0285545i \(-0.990910\pi\)
0.967146 + 0.254220i \(0.0818187\pi\)
\(338\) −8.11343 23.4422i −0.441312 1.27509i
\(339\) −14.7062 + 1.40427i −0.798729 + 0.0762693i
\(340\) −6.69760 27.6079i −0.363228 1.49725i
\(341\) 0.955274 + 0.0912176i 0.0517310 + 0.00493971i
\(342\) 0.438554 + 3.05021i 0.0237143 + 0.164936i
\(343\) −1.74016 + 18.4383i −0.0939598 + 0.995576i
\(344\) −31.1913 −1.68172
\(345\) 17.0613 + 0.218249i 0.918548 + 0.0117501i
\(346\) −1.64489 2.84903i −0.0884298 0.153165i
\(347\) −0.0552663 + 1.16018i −0.00296685 + 0.0622819i −0.999865 0.0164179i \(-0.994774\pi\)
0.996898 + 0.0786997i \(0.0250768\pi\)
\(348\) −6.33837 2.53750i −0.339772 0.136024i
\(349\) −4.32124 9.46221i −0.231311 0.506500i 0.758012 0.652241i \(-0.226171\pi\)
−0.989323 + 0.145740i \(0.953444\pi\)
\(350\) −14.8589 11.2997i −0.794241 0.603992i
\(351\) 2.62484 5.74760i 0.140104 0.306784i
\(352\) 3.35215 + 9.68541i 0.178670 + 0.516234i
\(353\) −14.7198 + 5.89293i −0.783458 + 0.313649i −0.728684 0.684850i \(-0.759868\pi\)
−0.0547735 + 0.998499i \(0.517444\pi\)
\(354\) −0.0823343 0.0785056i −0.00437602 0.00417253i
\(355\) 16.9007 3.25735i 0.896997 0.172882i
\(356\) 16.8372 10.8206i 0.892370 0.573491i
\(357\) −5.72008 + 17.4379i −0.302739 + 0.922913i
\(358\) 7.93010 + 9.15182i 0.419119 + 0.483689i
\(359\) −2.31001 + 9.52199i −0.121918 + 0.502551i 0.877805 + 0.479017i \(0.159007\pi\)
−0.999723 + 0.0235340i \(0.992508\pi\)
\(360\) −9.58933 + 3.83899i −0.505402 + 0.202332i
\(361\) −7.67184 1.47863i −0.403781 0.0778224i
\(362\) 3.95479 + 5.55373i 0.207859 + 0.291898i
\(363\) 7.17757 + 2.10752i 0.376725 + 0.110616i
\(364\) −16.0182 + 10.6656i −0.839583 + 0.559031i
\(365\) 4.32648 + 30.0913i 0.226458 + 1.57505i
\(366\) 1.85648 0.957081i 0.0970397 0.0500274i
\(367\) 4.79047 + 8.29734i 0.250061 + 0.433118i 0.963542 0.267556i \(-0.0862161\pi\)
−0.713482 + 0.700674i \(0.752883\pi\)
\(368\) 1.59851 0.798375i 0.0833280 0.0416181i
\(369\) 0.522456 0.904920i 0.0271980 0.0471083i
\(370\) 9.03040 + 5.80348i 0.469468 + 0.301709i
\(371\) −14.8617 + 4.62712i −0.771580 + 0.240228i
\(372\) −0.244611 0.535624i −0.0126825 0.0277708i
\(373\) −1.65101 + 1.57424i −0.0854861 + 0.0815108i −0.731618 0.681715i \(-0.761234\pi\)
0.646131 + 0.763226i \(0.276386\pi\)
\(374\) 11.9349 1.13964i 0.617138 0.0589296i
\(375\) 9.28584 + 1.78970i 0.479519 + 0.0924196i
\(376\) 6.21648 + 4.88870i 0.320591 + 0.252115i
\(377\) −35.9575 + 10.5581i −1.85191 + 0.543769i
\(378\) 2.40074 + 0.422407i 0.123481 + 0.0217263i
\(379\) −13.7813 + 8.85671i −0.707898 + 0.454939i −0.844408 0.535700i \(-0.820048\pi\)
0.136510 + 0.990639i \(0.456411\pi\)
\(380\) 0.651795 + 13.6829i 0.0334364 + 0.701916i
\(381\) 0.441785 1.27645i 0.0226333 0.0653947i
\(382\) −8.94708 8.53103i −0.457773 0.436485i
\(383\) 20.9027 + 16.4381i 1.06808 + 0.839947i 0.987629 0.156811i \(-0.0501214\pi\)
0.0804514 + 0.996759i \(0.474364\pi\)
\(384\) 3.66884 4.23406i 0.187224 0.216069i
\(385\) −12.5809 + 12.3920i −0.641184 + 0.631554i
\(386\) 3.28413 + 0.964308i 0.167158 + 0.0490820i
\(387\) −10.6949 1.02124i −0.543653 0.0519125i
\(388\) 10.2281 8.04347i 0.519254 0.408346i
\(389\) −0.315538 + 6.62396i −0.0159984 + 0.335848i 0.976652 + 0.214829i \(0.0689193\pi\)
−0.992650 + 0.121019i \(0.961384\pi\)
\(390\) −10.3559 + 17.9370i −0.524394 + 0.908277i
\(391\) 7.42862 + 32.4260i 0.375681 + 1.63985i
\(392\) −15.1558 13.5395i −0.765483 0.683847i
\(393\) 5.66752 + 3.64229i 0.285889 + 0.183729i
\(394\) −2.06166 0.825365i −0.103865 0.0415813i
\(395\) −29.6092 + 41.5804i −1.48980 + 2.09213i
\(396\) 0.509136 + 2.09869i 0.0255850 + 0.105463i
\(397\) 17.9578 + 25.2182i 0.901276 + 1.26567i 0.963529 + 0.267605i \(0.0862323\pi\)
−0.0622521 + 0.998060i \(0.519828\pi\)
\(398\) −0.896208 + 1.03428i −0.0449229 + 0.0518437i
\(399\) 4.29963 7.73447i 0.215251 0.387208i
\(400\) 2.73759 0.803829i 0.136880 0.0401915i
\(401\) 29.8617 5.75536i 1.49122 0.287409i 0.622464 0.782649i \(-0.286132\pi\)
0.868757 + 0.495239i \(0.164920\pi\)
\(402\) −8.57504 4.42074i −0.427684 0.220487i
\(403\) −2.87280 1.48103i −0.143104 0.0737755i
\(404\) −0.484650 + 0.0934086i −0.0241122 + 0.00464725i
\(405\) −3.41369 + 1.00235i −0.169628 + 0.0498072i
\(406\) −7.43104 12.4016i −0.368796 0.615479i
\(407\) 4.02314 4.64295i 0.199419 0.230142i
\(408\) −11.6814 16.4042i −0.578313 0.812127i
\(409\) 0.612014 + 2.52276i 0.0302621 + 0.124742i 0.984939 0.172902i \(-0.0553143\pi\)
−0.954677 + 0.297644i \(0.903799\pi\)
\(410\) −1.98678 + 2.79004i −0.0981201 + 0.137790i
\(411\) 11.3072 + 4.52672i 0.557743 + 0.223287i
\(412\) −14.6265 9.39990i −0.720597 0.463100i
\(413\) 0.0517357 + 0.322566i 0.00254575 + 0.0158724i
\(414\) 4.12272 1.58961i 0.202620 0.0781250i
\(415\) −5.84229 + 10.1191i −0.286787 + 0.496730i
\(416\) 1.64253 34.4809i 0.0805316 1.69057i
\(417\) 2.50806 1.97236i 0.122820 0.0965870i
\(418\) −5.75489 0.549525i −0.281481 0.0268782i
\(419\) 20.4705 + 6.01067i 1.00005 + 0.293640i 0.740476 0.672083i \(-0.234600\pi\)
0.259572 + 0.965724i \(0.416418\pi\)
\(420\) 10.4451 + 2.88363i 0.509668 + 0.140707i
\(421\) 21.7400 25.0893i 1.05954 1.22278i 0.0855202 0.996336i \(-0.472745\pi\)
0.974024 0.226443i \(-0.0727098\pi\)
\(422\) 10.1226 + 7.96046i 0.492758 + 0.387509i
\(423\) 1.97145 + 1.87978i 0.0958554 + 0.0913979i
\(424\) 5.58641 16.1409i 0.271300 0.783870i
\(425\) 2.52753 + 53.0593i 0.122603 + 2.57376i
\(426\) 3.74961 2.40973i 0.181669 0.116752i
\(427\) −5.90718 1.03936i −0.285869 0.0502982i
\(428\) −22.3816 + 6.57182i −1.08185 + 0.317661i
\(429\) 9.31767 + 7.32750i 0.449861 + 0.353775i
\(430\) 34.5802 + 6.66479i 1.66760 + 0.321405i
\(431\) 9.34313 0.892160i 0.450043 0.0429739i 0.132426 0.991193i \(-0.457723\pi\)
0.317617 + 0.948219i \(0.397117\pi\)
\(432\) −0.269643 + 0.257104i −0.0129732 + 0.0123699i
\(433\) −14.5460 31.8513i −0.699036 1.53067i −0.841137 0.540823i \(-0.818113\pi\)
0.142101 0.989852i \(-0.454614\pi\)
\(434\) 0.274257 1.21636i 0.0131648 0.0583871i
\(435\) 17.7516 + 11.4083i 0.851123 + 0.546984i
\(436\) −1.43783 + 2.49040i −0.0688598 + 0.119269i
\(437\) −0.558236 16.0309i −0.0267040 0.766860i
\(438\) 3.93630 + 6.81787i 0.188084 + 0.325771i
\(439\) 3.75886 1.93783i 0.179401 0.0924875i −0.366187 0.930541i \(-0.619337\pi\)
0.545588 + 0.838054i \(0.316307\pi\)
\(440\) −2.75774 19.1805i −0.131470 0.914394i
\(441\) −4.75334 5.13865i −0.226349 0.244698i
\(442\) −38.7451 11.3766i −1.84291 0.541129i
\(443\) 0.310659 + 0.436260i 0.0147599 + 0.0207273i 0.821890 0.569646i \(-0.192920\pi\)
−0.807130 + 0.590374i \(0.798980\pi\)
\(444\) −3.70161 0.713427i −0.175671 0.0338578i
\(445\) −57.4269 + 22.9903i −2.72230 + 1.08984i
\(446\) 0.960235 3.95814i 0.0454685 0.187424i
\(447\) −4.79708 5.53612i −0.226894 0.261850i
\(448\) 14.9635 3.13673i 0.706961 0.148197i
\(449\) 23.6280 15.1848i 1.11507 0.716615i 0.152682 0.988275i \(-0.451209\pi\)
0.962393 + 0.271660i \(0.0875727\pi\)
\(450\) 6.92808 1.33528i 0.326593 0.0629456i
\(451\) 1.41871 + 1.35274i 0.0668045 + 0.0636979i
\(452\) −15.7878 + 6.32047i −0.742594 + 0.297290i
\(453\) −5.03448 14.5462i −0.236541 0.683439i
\(454\) −1.60093 + 3.50555i −0.0751353 + 0.164523i
\(455\) 54.8508 22.9990i 2.57145 1.07821i
\(456\) 4.03388 + 8.83297i 0.188904 + 0.413642i
\(457\) 15.9140 + 6.37100i 0.744425 + 0.298023i 0.712695 0.701474i \(-0.247474\pi\)
0.0317298 + 0.999496i \(0.489898\pi\)
\(458\) −1.25528 + 26.3517i −0.0586556 + 1.23133i
\(459\) −3.46823 6.00715i −0.161883 0.280390i
\(460\) 18.9152 5.29217i 0.881927 0.246749i
\(461\) −5.94823 −0.277037 −0.138518 0.990360i \(-0.544234\pi\)
−0.138518 + 0.990360i \(0.544234\pi\)
\(462\) −1.83192 + 4.19003i −0.0852284 + 0.194938i
\(463\) −0.833055 5.79402i −0.0387153 0.269271i 0.961264 0.275628i \(-0.0888857\pi\)
−0.999980 + 0.00635666i \(0.997977\pi\)
\(464\) 2.19972 + 0.210047i 0.102119 + 0.00975121i
\(465\) 0.429057 + 1.76860i 0.0198970 + 0.0820167i
\(466\) 2.13379 0.203752i 0.0988459 0.00943864i
\(467\) −3.36478 9.72188i −0.155703 0.449875i 0.839988 0.542605i \(-0.182562\pi\)
−0.995691 + 0.0927300i \(0.970441\pi\)
\(468\) 1.03514 7.19959i 0.0478496 0.332801i
\(469\) 11.9164 + 25.0106i 0.550246 + 1.15488i
\(470\) −5.84731 6.74816i −0.269716 0.311269i
\(471\) 0.136808 + 2.87195i 0.00630378 + 0.132333i
\(472\) −0.318634 0.164267i −0.0146663 0.00756100i
\(473\) 6.59206 19.0465i 0.303103 0.875759i
\(474\) −3.11644 + 12.8461i −0.143143 + 0.590042i
\(475\) 3.64521 25.3530i 0.167254 1.16328i
\(476\) −0.662533 + 21.1156i −0.0303672 + 0.967832i
\(477\) 2.44395 5.35150i 0.111901 0.245028i
\(478\) 6.87016 6.55069i 0.314234 0.299621i
\(479\) 21.3304 29.9543i 0.974611 1.36865i 0.0454524 0.998967i \(-0.485527\pi\)
0.929158 0.369683i \(-0.120534\pi\)
\(480\) −15.2787 + 12.0153i −0.697373 + 0.548420i
\(481\) −18.3917 + 9.48159i −0.838590 + 0.432323i
\(482\) 12.5872 0.573332
\(483\) −12.1868 3.53286i −0.554520 0.160751i
\(484\) 8.61125 0.391420
\(485\) −35.7452 + 18.4279i −1.62310 + 0.836769i
\(486\) −0.724217 + 0.569530i −0.0328511 + 0.0258344i
\(487\) −14.7942 + 20.7756i −0.670391 + 0.941433i −0.999996 0.00268630i \(-0.999145\pi\)
0.329605 + 0.944119i \(0.393084\pi\)
\(488\) 4.76339 4.54188i 0.215628 0.205601i
\(489\) −8.38735 + 18.3657i −0.379289 + 0.830528i
\(490\) 13.9094 + 18.2489i 0.628363 + 0.824403i
\(491\) 4.59343 31.9480i 0.207298 1.44179i −0.574624 0.818417i \(-0.694852\pi\)
0.781923 0.623375i \(-0.214239\pi\)
\(492\) 0.283582 1.16894i 0.0127848 0.0526999i
\(493\) −13.4556 + 38.8774i −0.606010 + 1.75095i
\(494\) 17.3067 + 8.92223i 0.778666 + 0.401430i
\(495\) −0.317585 6.66693i −0.0142744 0.299656i
\(496\) 0.124802 + 0.144030i 0.00560379 + 0.00646712i
\(497\) −12.7596 1.00967i −0.572345 0.0452900i
\(498\) −0.430623 + 2.99505i −0.0192967 + 0.134211i
\(499\) 1.25594 + 3.62881i 0.0562237 + 0.162448i 0.969616 0.244634i \(-0.0786677\pi\)
−0.913392 + 0.407081i \(0.866547\pi\)
\(500\) 10.8368 1.03479i 0.484636 0.0462771i
\(501\) 1.95260 + 8.04871i 0.0872355 + 0.359590i
\(502\) −9.67674 0.924017i −0.431894 0.0412409i
\(503\) 0.0678446 + 0.471870i 0.00302504 + 0.0210396i 0.991278 0.131787i \(-0.0420715\pi\)
−0.988253 + 0.152827i \(0.951162\pi\)
\(504\) 7.63365 0.854182i 0.340030 0.0380483i
\(505\) 1.52546 0.0678820
\(506\) 1.07464 + 8.21930i 0.0477735 + 0.365393i
\(507\) −13.4623 23.3174i −0.597882 1.03556i
\(508\) 0.0739852 1.55314i 0.00328256 0.0689095i
\(509\) −19.4639 7.79216i −0.862721 0.345381i −0.102254 0.994758i \(-0.532605\pi\)
−0.760467 + 0.649377i \(0.775030\pi\)
\(510\) 9.44538 + 20.6825i 0.418248 + 0.915836i
\(511\) 2.85370 22.4266i 0.126240 0.992093i
\(512\) −1.74424 + 3.81936i −0.0770854 + 0.168793i
\(513\) 1.09394 + 3.16074i 0.0482987 + 0.139550i
\(514\) −3.14169 + 1.25774i −0.138574 + 0.0554767i
\(515\) 38.8907 + 37.0822i 1.71373 + 1.63404i
\(516\) −12.1439 + 2.34055i −0.534605 + 0.103037i
\(517\) −4.29902 + 2.76281i −0.189071 + 0.121508i
\(518\) −5.32476 5.94722i −0.233956 0.261306i
\(519\) −2.33829 2.69854i −0.102640 0.118453i
\(520\) −15.3871 + 63.4265i −0.674769 + 2.78143i
\(521\) −6.75052 + 2.70250i −0.295745 + 0.118399i −0.514790 0.857316i \(-0.672130\pi\)
0.219045 + 0.975715i \(0.429706\pi\)
\(522\) 5.36567 + 1.03415i 0.234849 + 0.0452634i
\(523\) 2.98306 + 4.18913i 0.130440 + 0.183178i 0.874631 0.484790i \(-0.161104\pi\)
−0.744190 + 0.667968i \(0.767164\pi\)
\(524\) 7.44112 + 2.18491i 0.325067 + 0.0954482i
\(525\) −18.1572 8.99067i −0.792446 0.392385i
\(526\) 0.293745 + 2.04304i 0.0128079 + 0.0890809i
\(527\) −3.15372 + 1.62585i −0.137378 + 0.0708233i
\(528\) −0.349474 0.605307i −0.0152089 0.0263426i
\(529\) −22.2269 + 5.91322i −0.966386 + 0.257097i
\(530\) −9.64226 + 16.7009i −0.418833 + 0.725440i
\(531\) −0.103875 0.0667566i −0.00450780 0.00289699i
\(532\) 2.24060 9.93728i 0.0971423 0.430836i
\(533\) −2.74273 6.00573i −0.118801 0.260137i
\(534\) −11.5933 + 11.0542i −0.501692 + 0.478363i
\(535\) 71.7679 6.85301i 3.10280 0.296281i
\(536\) −29.8513 5.75337i −1.28938 0.248508i
\(537\) 10.3315 + 8.12481i 0.445839 + 0.350611i
\(538\) −16.4081 + 4.81785i −0.707403 + 0.207712i
\(539\) 11.4708 6.39319i 0.494081 0.275374i
\(540\) −3.44540 + 2.21423i −0.148267 + 0.0952851i
\(541\) −1.84743 38.7824i −0.0794274 1.66739i −0.589888 0.807485i \(-0.700828\pi\)
0.510460 0.859901i \(-0.329475\pi\)
\(542\) −2.92401 + 8.44838i −0.125597 + 0.362889i
\(543\) 5.35569 + 5.10664i 0.229835 + 0.219147i
\(544\) −29.7879 23.4255i −1.27715 1.00436i
\(545\) 5.82023 6.71691i 0.249311 0.287721i
\(546\) 10.9732 10.8084i 0.469609 0.462555i
\(547\) −28.7539 8.44291i −1.22943 0.360993i −0.398394 0.917214i \(-0.630432\pi\)
−0.831034 + 0.556222i \(0.812251\pi\)
\(548\) 13.9571 + 1.33274i 0.596216 + 0.0569318i
\(549\) 1.78198 1.40137i 0.0760532 0.0598089i
\(550\) −0.629811 + 13.2214i −0.0268552 + 0.563761i
\(551\) 9.91867 17.1796i 0.422550 0.731878i
\(552\) 11.0538 8.46625i 0.470482 0.360348i
\(553\) 29.4535 23.9464i 1.25249 1.01830i
\(554\) −2.58186 1.65926i −0.109693 0.0704953i
\(555\) 10.8164 + 4.33024i 0.459132 + 0.183809i
\(556\) 2.13053 2.99191i 0.0903545 0.126885i
\(557\) 2.18955 + 9.02544i 0.0927741 + 0.382420i 0.999202 0.0399404i \(-0.0127168\pi\)
−0.906428 + 0.422360i \(0.861202\pi\)
\(558\) 0.273370 + 0.383895i 0.0115727 + 0.0162516i
\(559\) −44.4547 + 51.3034i −1.88023 + 2.16990i
\(560\) −3.50659 + 0.0569298i −0.148180 + 0.00240572i
\(561\) 12.4857 3.66615i 0.527149 0.154785i
\(562\) −12.7356 + 2.45459i −0.537221 + 0.103541i
\(563\) −30.2307 15.5850i −1.27407 0.656830i −0.317482 0.948264i \(-0.602837\pi\)
−0.956591 + 0.291434i \(0.905868\pi\)
\(564\) 2.78714 + 1.43687i 0.117360 + 0.0605033i
\(565\) 51.6099 9.94699i 2.17124 0.418473i
\(566\) 4.76045 1.39779i 0.200097 0.0587536i
\(567\) 2.64540 0.0429484i 0.111096 0.00180366i
\(568\) 9.19764 10.6146i 0.385924 0.445381i
\(569\) −20.2762 28.4740i −0.850023 1.19369i −0.979367 0.202091i \(-0.935226\pi\)
0.129344 0.991600i \(-0.458713\pi\)
\(570\) −2.58478 10.6546i −0.108265 0.446273i
\(571\) −11.0321 + 15.4925i −0.461681 + 0.648340i −0.978134 0.207975i \(-0.933313\pi\)
0.516453 + 0.856315i \(0.327252\pi\)
\(572\) 12.6679 + 5.07148i 0.529673 + 0.212049i
\(573\) −11.2879 7.25429i −0.471558 0.303052i
\(574\) 1.97633 1.60680i 0.0824904 0.0670667i
\(575\) −36.6019 + 3.02315i −1.52641 + 0.126074i
\(576\) −2.88931 + 5.00442i −0.120388 + 0.208518i
\(577\) 0.982344 20.6219i 0.0408955 0.858503i −0.881483 0.472216i \(-0.843454\pi\)
0.922379 0.386287i \(-0.126243\pi\)
\(578\) −22.5336 + 17.7206i −0.937273 + 0.737080i
\(579\) 3.69821 + 0.353136i 0.153692 + 0.0146758i
\(580\) 23.3068 + 6.84349i 0.967762 + 0.284160i
\(581\) 6.19050 6.09752i 0.256825 0.252968i
\(582\) −6.81991 + 7.87060i −0.282694 + 0.326247i
\(583\) 8.67554 + 6.82252i 0.359304 + 0.282560i
\(584\) 17.9542 + 17.1193i 0.742949 + 0.708401i
\(585\) −7.35261 + 21.2440i −0.303993 + 0.878330i
\(586\) −1.12026 23.5171i −0.0462775 0.971484i
\(587\) 1.25750 0.808145i 0.0519025 0.0333557i −0.514432 0.857531i \(-0.671997\pi\)
0.566335 + 0.824175i \(0.308361\pi\)
\(588\) −6.91668 4.13415i −0.285239 0.170489i
\(589\) 1.64158 0.482011i 0.0676401 0.0198609i
\(590\) 0.318153 + 0.250199i 0.0130982 + 0.0103005i
\(591\) −2.36680 0.456162i −0.0973569 0.0187640i
\(592\) 1.21456 0.115977i 0.0499182 0.00476661i
\(593\) 0.643893 0.613950i 0.0264415 0.0252119i −0.676743 0.736219i \(-0.736609\pi\)
0.703185 + 0.711007i \(0.251761\pi\)
\(594\) −0.718016 1.57223i −0.0294605 0.0645096i
\(595\) 14.3615 63.6944i 0.588762 2.61122i
\(596\) −7.09390 4.55897i −0.290578 0.186743i
\(597\) −0.742700 + 1.28639i −0.0303967 + 0.0526486i
\(598\) 6.92868 27.0457i 0.283335 1.10598i
\(599\) 2.28589 + 3.95928i 0.0933990 + 0.161772i 0.908939 0.416928i \(-0.136893\pi\)
−0.815540 + 0.578700i \(0.803560\pi\)
\(600\) 19.7616 10.1878i 0.806765 0.415916i
\(601\) 2.73324 + 19.0101i 0.111491 + 0.775438i 0.966471 + 0.256776i \(0.0826604\pi\)
−0.854980 + 0.518661i \(0.826431\pi\)
\(602\) −23.4692 11.6209i −0.956532 0.473633i
\(603\) −10.0471 2.95009i −0.409149 0.120137i
\(604\) −10.2782 14.4337i −0.418215 0.587300i
\(605\) −26.1336 5.03683i −1.06248 0.204776i
\(606\) 0.366737 0.146819i 0.0148977 0.00596412i
\(607\) 6.59982 27.2048i 0.267879 1.10421i −0.665809 0.746122i \(-0.731914\pi\)
0.933688 0.358088i \(-0.116571\pi\)
\(608\) 11.9662 + 13.8097i 0.485293 + 0.560058i
\(609\) −10.4672 11.6908i −0.424152 0.473735i
\(610\) −6.25141 + 4.01754i −0.253112 + 0.162665i
\(611\) 16.9008 3.25737i 0.683735 0.131779i
\(612\) −5.77892 5.51019i −0.233599 0.222736i
\(613\) 42.1506 16.8746i 1.70245 0.681557i 0.702890 0.711298i \(-0.251893\pi\)
0.999558 + 0.0297412i \(0.00946833\pi\)
\(614\) −1.51720 4.38366i −0.0612292 0.176910i
\(615\) −1.54435 + 3.38165i −0.0622741 + 0.136361i
\(616\) −1.81897 + 14.2949i −0.0732885 + 0.575958i
\(617\) 12.5994 + 27.5888i 0.507232 + 1.11068i 0.974051 + 0.226330i \(0.0726728\pi\)
−0.466819 + 0.884353i \(0.654600\pi\)
\(618\) 12.9188 + 5.17189i 0.519669 + 0.208044i
\(619\) 0.932710 19.5800i 0.0374888 0.786986i −0.899351 0.437227i \(-0.855961\pi\)
0.936840 0.349759i \(-0.113736\pi\)
\(620\) 1.04748 + 1.81429i 0.0420679 + 0.0728638i
\(621\) 4.06735 2.54100i 0.163217 0.101967i
\(622\) −19.0620 −0.764316
\(623\) 45.7151 5.11538i 1.83154 0.204943i
\(624\) 0.335028 + 2.33017i 0.0134118 + 0.0932814i
\(625\) 4.62380 + 0.441519i 0.184952 + 0.0176608i
\(626\) 4.10786 + 16.9328i 0.164183 + 0.676772i
\(627\) −6.24626 + 0.596446i −0.249452 + 0.0238198i
\(628\) 1.08253 + 3.12775i 0.0431975 + 0.124811i
\(629\) −3.23272 + 22.4841i −0.128897 + 0.896499i
\(630\) −8.64556 0.684129i −0.344447 0.0272563i
\(631\) 9.68853 + 11.1812i 0.385694 + 0.445115i 0.915084 0.403264i \(-0.132124\pi\)
−0.529389 + 0.848379i \(0.677579\pi\)
\(632\) 1.98199 + 41.6070i 0.0788392 + 1.65504i
\(633\) 12.4235 + 6.40474i 0.493789 + 0.254566i
\(634\) −8.80244 + 25.4330i −0.349590 + 1.01007i
\(635\) −1.13298 + 4.67022i −0.0449611 + 0.185332i
\(636\) 0.963807 6.70343i 0.0382174 0.265808i
\(637\) −43.8702 + 5.63141i −1.73820 + 0.223125i
\(638\) −4.25855 + 9.32491i −0.168597 + 0.369177i
\(639\) 3.50124 3.33842i 0.138507 0.132066i
\(640\) −11.5620 + 16.2365i −0.457028 + 0.641806i
\(641\) −7.43375 + 5.84596i −0.293615 + 0.230902i −0.754090 0.656771i \(-0.771922\pi\)
0.460475 + 0.887673i \(0.347679\pi\)
\(642\) 16.5942 8.55491i 0.654921 0.337635i
\(643\) −30.3358 −1.19633 −0.598164 0.801374i \(-0.704103\pi\)
−0.598164 + 0.801374i \(0.704103\pi\)
\(644\) −14.6063 + 0.0502793i −0.575569 + 0.00198128i
\(645\) 38.2235 1.50505
\(646\) 18.9990 9.79469i 0.747507 0.385367i
\(647\) 32.1545 25.2866i 1.26412 0.994117i 0.264566 0.964368i \(-0.414771\pi\)
0.999557 0.0297499i \(-0.00947107\pi\)
\(648\) −1.68405 + 2.36492i −0.0661558 + 0.0929029i
\(649\) 0.167648 0.159852i 0.00658077 0.00627476i
\(650\) 18.5198 40.5526i 0.726405 1.59061i
\(651\) 0.0424428 1.35269i 0.00166346 0.0530162i
\(652\) −3.30768 + 23.0054i −0.129539 + 0.900961i
\(653\) 9.13464 37.6535i 0.357466 1.47350i −0.455003 0.890490i \(-0.650362\pi\)
0.812469 0.583005i \(-0.198123\pi\)
\(654\) 0.752771 2.17499i 0.0294357 0.0850488i
\(655\) −21.3045 10.9832i −0.832434 0.429150i
\(656\) 0.0185239 + 0.388864i 0.000723236 + 0.0151826i
\(657\) 5.59565 + 6.45773i 0.218307 + 0.251940i
\(658\) 2.85607 + 5.99446i 0.111341 + 0.233688i
\(659\) 1.64844 11.4652i 0.0642142 0.446620i −0.932195 0.361956i \(-0.882109\pi\)
0.996410 0.0846642i \(-0.0269817\pi\)
\(660\) −2.51296 7.26073i −0.0978170 0.282624i
\(661\) 37.1565 3.54802i 1.44522 0.138002i 0.657231 0.753689i \(-0.271728\pi\)
0.787991 + 0.615687i \(0.211122\pi\)
\(662\) −6.61390 27.2629i −0.257056 1.05960i
\(663\) −43.6302 4.16618i −1.69446 0.161801i
\(664\) 1.35696 + 9.43784i 0.0526601 + 0.366259i
\(665\) −12.6123 + 28.8473i −0.489082 + 1.11865i
\(666\) 3.01715 0.116912
\(667\) −27.1871 8.36205i −1.05269 0.323780i
\(668\) 4.76699 + 8.25667i 0.184440 + 0.319460i
\(669\) 0.210346 4.41571i 0.00813246 0.170721i
\(670\) 31.8653 + 12.7569i 1.23106 + 0.492843i
\(671\) 1.76673 + 3.86859i 0.0682037 + 0.149345i
\(672\) 13.3300 5.58928i 0.514217 0.215611i
\(673\) 10.0799 22.0720i 0.388553 0.850813i −0.609751 0.792593i \(-0.708730\pi\)
0.998304 0.0582195i \(-0.0185423\pi\)
\(674\) −1.26118 3.64394i −0.0485789 0.140359i
\(675\) 7.10946 2.84620i 0.273643 0.109550i
\(676\) −22.4315 21.3884i −0.862751 0.822632i
\(677\) −23.5745 + 4.54361i −0.906041 + 0.174625i −0.620927 0.783868i \(-0.713244\pi\)
−0.285114 + 0.958494i \(0.592032\pi\)
\(678\) 11.4502 7.35860i 0.439743 0.282605i
\(679\) 29.2701 6.13575i 1.12328 0.235468i
\(680\) 46.9196 + 54.1481i 1.79929 + 2.07649i
\(681\) −0.986146 + 4.06495i −0.0377892 + 0.155769i
\(682\) −0.820797 + 0.328597i −0.0314299 + 0.0125826i
\(683\) −9.41871 1.81531i −0.360397 0.0694608i 0.00583864 0.999983i \(-0.498141\pi\)
−0.366236 + 0.930522i \(0.619354\pi\)
\(684\) 2.23335 + 3.13630i 0.0853943 + 0.119920i
\(685\) −41.5776 12.2083i −1.58860 0.466455i
\(686\) −6.35924 15.8340i −0.242797 0.604547i
\(687\) 4.07506 + 28.3426i 0.155473 + 1.08134i
\(688\) 3.55778 1.83417i 0.135639 0.0699269i
\(689\) −18.5866 32.1929i −0.708093 1.22645i
\(690\) −14.0638 + 7.02418i −0.535401 + 0.267406i
\(691\) −3.97839 + 6.89077i −0.151345 + 0.262137i −0.931722 0.363172i \(-0.881694\pi\)
0.780377 + 0.625309i \(0.215027\pi\)
\(692\) −3.45786 2.22223i −0.131448 0.0844766i
\(693\) −1.09172 + 4.84190i −0.0414712 + 0.183929i
\(694\) −0.444547 0.973421i −0.0168748 0.0369506i
\(695\) −8.21577 + 7.83372i −0.311642 + 0.297150i
\(696\) 17.1412 1.63679i 0.649736 0.0620423i
\(697\) −7.11700 1.37169i −0.269576 0.0519565i
\(698\) 7.53347 + 5.92439i 0.285146 + 0.224241i
\(699\) 2.23227 0.655455i 0.0844324 0.0247916i
\(700\) −22.9708 4.04167i −0.868213 0.152761i
\(701\) 34.7119 22.3080i 1.31105 0.842560i 0.316680 0.948532i \(-0.397432\pi\)
0.994369 + 0.105972i \(0.0337954\pi\)
\(702\) 0.276999 + 5.81493i 0.0104547 + 0.219471i
\(703\) 3.58241 10.3507i 0.135113 0.390383i
\(704\) −7.84581 7.48096i −0.295700 0.281949i
\(705\) −7.61803 5.99088i −0.286912 0.225630i
\(706\) 9.56640 11.0402i 0.360036 0.415504i
\(707\) −1.09349 0.301887i −0.0411251 0.0113536i
\(708\) −0.136382 0.0400454i −0.00512555 0.00150500i
\(709\) −46.8796 4.47646i −1.76060 0.168117i −0.835918 0.548854i \(-0.815064\pi\)
−0.924683 + 0.380737i \(0.875670\pi\)
\(710\) −12.4650 + 9.80262i −0.467805 + 0.367886i
\(711\) −0.682678 + 14.3312i −0.0256024 + 0.537461i
\(712\) −25.2387 + 43.7148i −0.945862 + 1.63828i
\(713\) −1.19931 2.14002i −0.0449145 0.0801445i
\(714\) −2.67768 16.6951i −0.100210 0.624797i
\(715\) −35.4785 22.8007i −1.32682 0.852696i
\(716\) 14.0463 + 5.62331i 0.524937 + 0.210153i
\(717\) 5.97643 8.39273i 0.223194 0.313432i
\(718\) −2.12829 8.77292i −0.0794270 0.327403i
\(719\) −1.50850 2.11840i −0.0562577 0.0790029i 0.785489 0.618876i \(-0.212412\pi\)
−0.841746 + 0.539873i \(0.818472\pi\)
\(720\) 0.868045 1.00178i 0.0323501 0.0373340i
\(721\) −20.5395 34.2781i −0.764931 1.27658i
\(722\) 6.90682 2.02802i 0.257045 0.0754753i
\(723\) 13.4151 2.58554i 0.498912 0.0961573i
\(724\) 7.57161 + 3.90344i 0.281397 + 0.145070i
\(725\) −40.3706 20.8125i −1.49933 0.772957i
\(726\) −6.76756 + 1.30434i −0.251168 + 0.0484086i
\(727\) 32.8563 9.64748i 1.21857 0.357805i 0.391646 0.920116i \(-0.371906\pi\)
0.826926 + 0.562311i \(0.190088\pi\)
\(728\) 23.5820 42.4209i 0.874006 1.57222i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) −16.2469 22.8156i −0.601326 0.844445i
\(731\) 17.5693 + 72.4215i 0.649823 + 2.67861i
\(732\) 1.51375 2.12576i 0.0559496 0.0785703i
\(733\) 0.0172367 + 0.00690052i 0.000636650 + 0.000254876i 0.371981 0.928240i \(-0.378679\pi\)
−0.371344 + 0.928495i \(0.621103\pi\)
\(734\) −7.42594 4.77236i −0.274097 0.176151i
\(735\) 18.5728 + 16.5920i 0.685066 + 0.612007i
\(736\) 15.4697 21.1464i 0.570221 0.779467i
\(737\) 9.82208 17.0123i 0.361801 0.626658i
\(738\) −0.0458077 + 0.961621i −0.00168620 + 0.0353978i
\(739\) 34.0557 26.7817i 1.25276 0.985181i 0.252916 0.967488i \(-0.418610\pi\)
0.999843 0.0176925i \(-0.00563199\pi\)
\(740\) 13.3513 + 1.27489i 0.490803 + 0.0468660i
\(741\) 20.2777 + 5.95407i 0.744919 + 0.218728i
\(742\) 10.2170 10.0635i 0.375076 0.369443i
\(743\) −3.49457 + 4.03295i −0.128203 + 0.147954i −0.816222 0.577739i \(-0.803935\pi\)
0.688019 + 0.725693i \(0.258481\pi\)
\(744\) 1.16735 + 0.918014i 0.0427971 + 0.0336560i
\(745\) 18.8621 + 17.9850i 0.691054 + 0.658918i
\(746\) 0.687425 1.98618i 0.0251684 0.0727194i
\(747\) 0.156269 + 3.28049i 0.00571758 + 0.120027i
\(748\) 12.6017 8.09864i 0.460765 0.296115i
\(749\) −52.8016 9.29037i −1.92933 0.339463i
\(750\) −8.35987 + 2.45468i −0.305259 + 0.0896322i
\(751\) 16.9527 + 13.3318i 0.618614 + 0.486484i 0.877597 0.479398i \(-0.159145\pi\)
−0.258983 + 0.965882i \(0.583387\pi\)
\(752\) −0.996547 0.192069i −0.0363403 0.00700403i
\(753\) −10.5030 + 1.00291i −0.382750 + 0.0365482i
\(754\) 24.9887 23.8267i 0.910034 0.867716i
\(755\) 22.7500 + 49.8156i 0.827958 + 1.81298i
\(756\) 2.90796 0.905382i 0.105762 0.0329284i
\(757\) 16.5005 + 10.6042i 0.599722 + 0.385418i 0.804990 0.593288i \(-0.202170\pi\)
−0.205269 + 0.978706i \(0.565807\pi\)
\(758\) 7.54658 13.0711i 0.274104 0.474762i
\(759\) 2.83365 + 8.53914i 0.102855 + 0.309951i
\(760\) −17.2740 29.9195i −0.626596 1.08530i
\(761\) 22.3492 11.5218i 0.810158 0.417665i −0.00279405 0.999996i \(-0.500889\pi\)
0.812952 + 0.582331i \(0.197859\pi\)
\(762\) 0.177108 + 1.23182i 0.00641596 + 0.0446240i
\(763\) −5.50139 + 3.66306i −0.199164 + 0.132612i
\(764\) −14.8203 4.35164i −0.536181 0.157437i
\(765\) 14.3150 + 20.1026i 0.517560 + 0.726811i
\(766\) −24.0574 4.63667i −0.869227 0.167530i
\(767\) −0.724312 + 0.289971i −0.0261534 + 0.0104702i
\(768\) −3.94164 + 16.2477i −0.142232 + 0.586288i
\(769\) 19.7633 + 22.8081i 0.712683 + 0.822480i 0.990407 0.138181i \(-0.0441255\pi\)
−0.277724 + 0.960661i \(0.589580\pi\)
\(770\) 5.07106 15.4594i 0.182748 0.557117i
\(771\) −3.08997 + 1.98580i −0.111282 + 0.0715169i
\(772\) 4.19926 0.809340i 0.151135 0.0291288i
\(773\)