Properties

Label 403.2.bl.b.16.15
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.15
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.596810 - 0.265717i) q^{2} +(0.0996818 - 0.948409i) q^{3} +(-1.05268 - 1.16913i) q^{4} +0.954231 q^{5} +(-0.311499 + 0.539532i) q^{6} +(2.48894 + 2.76425i) q^{7} +(0.721351 + 2.22009i) q^{8} +(2.04490 + 0.434657i) q^{9} +O(q^{10})\) \(q+(-0.596810 - 0.265717i) q^{2} +(0.0996818 - 0.948409i) q^{3} +(-1.05268 - 1.16913i) q^{4} +0.954231 q^{5} +(-0.311499 + 0.539532i) q^{6} +(2.48894 + 2.76425i) q^{7} +(0.721351 + 2.22009i) q^{8} +(2.04490 + 0.434657i) q^{9} +(-0.569494 - 0.253555i) q^{10} +(-1.06042 + 0.225399i) q^{11} +(-1.21374 + 0.881835i) q^{12} +(3.59428 + 0.284818i) q^{13} +(-0.750916 - 2.31108i) q^{14} +(0.0951194 - 0.905001i) q^{15} +(-0.169485 + 1.61254i) q^{16} +(2.63237 + 0.559528i) q^{17} +(-1.10492 - 0.802772i) q^{18} +(-0.658770 - 6.26777i) q^{19} +(-1.00450 - 1.11562i) q^{20} +(2.86974 - 2.08499i) q^{21} +(0.692760 + 0.147251i) q^{22} +(-1.28119 + 1.42290i) q^{23} +(2.17746 - 0.462833i) q^{24} -4.08944 q^{25} +(-2.06942 - 1.12504i) q^{26} +(1.50014 - 4.61695i) q^{27} +(0.611682 - 5.81976i) q^{28} +(-3.07533 - 1.36922i) q^{29} +(-0.297242 + 0.514838i) q^{30} +(4.76747 - 2.87598i) q^{31} +(2.86397 - 4.96055i) q^{32} +(0.108066 + 1.02818i) q^{33} +(-1.42235 - 1.03340i) q^{34} +(2.37502 + 2.63773i) q^{35} +(-1.64447 - 2.84830i) q^{36} +(0.530160 + 0.918263i) q^{37} +(-1.27229 + 3.91571i) q^{38} +(0.628408 - 3.38046i) q^{39} +(0.688336 + 2.11848i) q^{40} +(3.69118 + 1.64342i) q^{41} +(-2.26670 + 0.481803i) q^{42} +(0.845648 + 8.04580i) q^{43} +(1.37981 + 1.00249i) q^{44} +(1.95131 + 0.414763i) q^{45} +(1.14271 - 0.508769i) q^{46} +(-10.3317 - 7.50639i) q^{47} +(1.51245 + 0.321482i) q^{48} +(-0.714544 + 6.79844i) q^{49} +(2.44062 + 1.08663i) q^{50} +(0.793060 - 2.44079i) q^{51} +(-3.45066 - 4.50199i) q^{52} +(4.12667 + 12.7006i) q^{53} +(-2.12210 + 2.35683i) q^{54} +(-1.01188 + 0.215083i) q^{55} +(-4.34148 + 7.51967i) q^{56} -6.01008 q^{57} +(1.47156 + 1.63433i) q^{58} +(6.57641 - 2.92801i) q^{59} +(-1.15819 + 0.841474i) q^{60} +(2.53503 - 4.39081i) q^{61} +(-3.60947 + 0.449617i) q^{62} +(3.88813 + 6.73445i) q^{63} +(-0.403825 + 0.293396i) q^{64} +(3.42978 + 0.271782i) q^{65} +(0.208709 - 0.642342i) q^{66} +(7.76164 + 13.4436i) q^{67} +(-2.11690 - 3.66658i) q^{68} +(1.22178 + 1.35693i) q^{69} +(-0.716548 - 2.20531i) q^{70} +(-13.9126 - 2.95722i) q^{71} +(0.510114 + 4.85341i) q^{72} +(2.62604 - 8.08211i) q^{73} +(-0.0724064 - 0.688901i) q^{74} +(-0.407643 + 3.87846i) q^{75} +(-6.63433 + 7.36817i) q^{76} +(-3.26238 - 2.37026i) q^{77} +(-1.27328 + 1.85051i) q^{78} +(-5.26905 - 16.2165i) q^{79} +(-0.161728 + 1.53874i) q^{80} +(1.50031 + 0.667983i) q^{81} +(-1.76625 - 1.96162i) q^{82} +(2.49132 - 1.81005i) q^{83} +(-5.45854 - 1.16025i) q^{84} +(2.51189 + 0.533919i) q^{85} +(1.63321 - 5.02652i) q^{86} +(-1.60514 + 2.78018i) q^{87} +(-1.26534 - 2.19163i) q^{88} +(-8.95260 + 1.90293i) q^{89} +(-1.05435 - 0.766030i) q^{90} +(8.15865 + 10.6444i) q^{91} +3.01224 q^{92} +(-2.25238 - 4.80819i) q^{93} +(4.17146 + 7.22518i) q^{94} +(-0.628618 - 5.98090i) q^{95} +(-4.41914 - 3.21069i) q^{96} +(-1.12892 - 1.25380i) q^{97} +(2.23291 - 3.86750i) q^{98} -2.26642 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.596810 0.265717i −0.422008 0.187890i 0.184735 0.982788i \(-0.440857\pi\)
−0.606743 + 0.794898i \(0.707524\pi\)
\(3\) 0.0996818 0.948409i 0.0575513 0.547564i −0.927319 0.374272i \(-0.877893\pi\)
0.984870 0.173292i \(-0.0554406\pi\)
\(4\) −1.05268 1.16913i −0.526342 0.584563i
\(5\) 0.954231 0.426745 0.213373 0.976971i \(-0.431555\pi\)
0.213373 + 0.976971i \(0.431555\pi\)
\(6\) −0.311499 + 0.539532i −0.127169 + 0.220263i
\(7\) 2.48894 + 2.76425i 0.940731 + 1.04479i 0.998919 + 0.0464817i \(0.0148009\pi\)
−0.0581884 + 0.998306i \(0.518532\pi\)
\(8\) 0.721351 + 2.22009i 0.255036 + 0.784921i
\(9\) 2.04490 + 0.434657i 0.681633 + 0.144886i
\(10\) −0.569494 0.253555i −0.180090 0.0801812i
\(11\) −1.06042 + 0.225399i −0.319728 + 0.0679603i −0.364980 0.931015i \(-0.618924\pi\)
0.0452520 + 0.998976i \(0.485591\pi\)
\(12\) −1.21374 + 0.881835i −0.350377 + 0.254564i
\(13\) 3.59428 + 0.284818i 0.996875 + 0.0789942i
\(14\) −0.750916 2.31108i −0.200691 0.617663i
\(15\) 0.0951194 0.905001i 0.0245597 0.233670i
\(16\) −0.169485 + 1.61254i −0.0423713 + 0.403136i
\(17\) 2.63237 + 0.559528i 0.638444 + 0.135705i 0.515750 0.856739i \(-0.327513\pi\)
0.122694 + 0.992445i \(0.460847\pi\)
\(18\) −1.10492 0.802772i −0.260432 0.189215i
\(19\) −0.658770 6.26777i −0.151132 1.43793i −0.762709 0.646741i \(-0.776131\pi\)
0.611577 0.791185i \(-0.290535\pi\)
\(20\) −1.00450 1.11562i −0.224614 0.249459i
\(21\) 2.86974 2.08499i 0.626228 0.454981i
\(22\) 0.692760 + 0.147251i 0.147697 + 0.0313940i
\(23\) −1.28119 + 1.42290i −0.267146 + 0.296695i −0.861760 0.507315i \(-0.830638\pi\)
0.594615 + 0.804011i \(0.297305\pi\)
\(24\) 2.17746 0.462833i 0.444472 0.0944754i
\(25\) −4.08944 −0.817889
\(26\) −2.06942 1.12504i −0.405847 0.220639i
\(27\) 1.50014 4.61695i 0.288702 0.888532i
\(28\) 0.611682 5.81976i 0.115597 1.09983i
\(29\) −3.07533 1.36922i −0.571074 0.254258i 0.100822 0.994905i \(-0.467853\pi\)
−0.671895 + 0.740646i \(0.734520\pi\)
\(30\) −0.297242 + 0.514838i −0.0542687 + 0.0939962i
\(31\) 4.76747 2.87598i 0.856262 0.516541i
\(32\) 2.86397 4.96055i 0.506284 0.876909i
\(33\) 0.108066 + 1.02818i 0.0188119 + 0.178983i
\(34\) −1.42235 1.03340i −0.243931 0.177226i
\(35\) 2.37502 + 2.63773i 0.401452 + 0.445858i
\(36\) −1.64447 2.84830i −0.274078 0.474717i
\(37\) 0.530160 + 0.918263i 0.0871577 + 0.150962i 0.906309 0.422616i \(-0.138888\pi\)
−0.819151 + 0.573578i \(0.805555\pi\)
\(38\) −1.27229 + 3.91571i −0.206393 + 0.635213i
\(39\) 0.628408 3.38046i 0.100626 0.541307i
\(40\) 0.688336 + 2.11848i 0.108835 + 0.334961i
\(41\) 3.69118 + 1.64342i 0.576466 + 0.256659i 0.674194 0.738554i \(-0.264491\pi\)
−0.0977285 + 0.995213i \(0.531158\pi\)
\(42\) −2.26670 + 0.481803i −0.349760 + 0.0743438i
\(43\) 0.845648 + 8.04580i 0.128960 + 1.22697i 0.847237 + 0.531216i \(0.178265\pi\)
−0.718276 + 0.695758i \(0.755069\pi\)
\(44\) 1.37981 + 1.00249i 0.208014 + 0.151131i
\(45\) 1.95131 + 0.414763i 0.290884 + 0.0618293i
\(46\) 1.14271 0.508769i 0.168484 0.0750138i
\(47\) −10.3317 7.50639i −1.50703 1.09492i −0.967474 0.252969i \(-0.918593\pi\)
−0.539554 0.841951i \(-0.681407\pi\)
\(48\) 1.51245 + 0.321482i 0.218304 + 0.0464020i
\(49\) −0.714544 + 6.79844i −0.102078 + 0.971205i
\(50\) 2.44062 + 1.08663i 0.345156 + 0.153673i
\(51\) 0.793060 2.44079i 0.111051 0.341779i
\(52\) −3.45066 4.50199i −0.478521 0.624314i
\(53\) 4.12667 + 12.7006i 0.566842 + 1.74456i 0.662414 + 0.749138i \(0.269532\pi\)
−0.0955714 + 0.995423i \(0.530468\pi\)
\(54\) −2.12210 + 2.35683i −0.288781 + 0.320724i
\(55\) −1.01188 + 0.215083i −0.136442 + 0.0290017i
\(56\) −4.34148 + 7.51967i −0.580155 + 1.00486i
\(57\) −6.01008 −0.796054
\(58\) 1.47156 + 1.63433i 0.193225 + 0.214598i
\(59\) 6.57641 2.92801i 0.856175 0.381194i 0.0687723 0.997632i \(-0.478092\pi\)
0.787403 + 0.616439i \(0.211425\pi\)
\(60\) −1.15819 + 0.841474i −0.149522 + 0.108634i
\(61\) 2.53503 4.39081i 0.324578 0.562185i −0.656849 0.754022i \(-0.728111\pi\)
0.981427 + 0.191837i \(0.0614444\pi\)
\(62\) −3.60947 + 0.449617i −0.458403 + 0.0571015i
\(63\) 3.88813 + 6.73445i 0.489859 + 0.848460i
\(64\) −0.403825 + 0.293396i −0.0504782 + 0.0366745i
\(65\) 3.42978 + 0.271782i 0.425412 + 0.0337104i
\(66\) 0.208709 0.642342i 0.0256904 0.0790668i
\(67\) 7.76164 + 13.4436i 0.948235 + 1.64239i 0.749140 + 0.662411i \(0.230467\pi\)
0.199095 + 0.979980i \(0.436200\pi\)
\(68\) −2.11690 3.66658i −0.256712 0.444638i
\(69\) 1.22178 + 1.35693i 0.147085 + 0.163355i
\(70\) −0.716548 2.20531i −0.0856438 0.263585i
\(71\) −13.9126 2.95722i −1.65113 0.350958i −0.714053 0.700092i \(-0.753142\pi\)
−0.937073 + 0.349134i \(0.886476\pi\)
\(72\) 0.510114 + 4.85341i 0.0601175 + 0.571979i
\(73\) 2.62604 8.08211i 0.307354 0.945940i −0.671434 0.741065i \(-0.734321\pi\)
0.978788 0.204875i \(-0.0656788\pi\)
\(74\) −0.0724064 0.688901i −0.00841707 0.0800831i
\(75\) −0.407643 + 3.87846i −0.0470705 + 0.447846i
\(76\) −6.63433 + 7.36817i −0.761010 + 0.845188i
\(77\) −3.26238 2.37026i −0.371782 0.270116i
\(78\) −1.27328 + 1.85051i −0.144171 + 0.209529i
\(79\) −5.26905 16.2165i −0.592815 1.82450i −0.565317 0.824874i \(-0.691246\pi\)
−0.0274972 0.999622i \(-0.508754\pi\)
\(80\) −0.161728 + 1.53874i −0.0180817 + 0.172036i
\(81\) 1.50031 + 0.667983i 0.166702 + 0.0742203i
\(82\) −1.76625 1.96162i −0.195050 0.216624i
\(83\) 2.49132 1.81005i 0.273458 0.198679i −0.442601 0.896719i \(-0.645944\pi\)
0.716059 + 0.698040i \(0.245944\pi\)
\(84\) −5.45854 1.16025i −0.595576 0.126593i
\(85\) 2.51189 + 0.533919i 0.272453 + 0.0579116i
\(86\) 1.63321 5.02652i 0.176114 0.542023i
\(87\) −1.60514 + 2.78018i −0.172089 + 0.298067i
\(88\) −1.26534 2.19163i −0.134886 0.233629i
\(89\) −8.95260 + 1.90293i −0.948973 + 0.201711i −0.656298 0.754501i \(-0.727879\pi\)
−0.292675 + 0.956212i \(0.594545\pi\)
\(90\) −1.05435 0.766030i −0.111138 0.0807466i
\(91\) 8.15865 + 10.6444i 0.855259 + 1.11583i
\(92\) 3.01224 0.314047
\(93\) −2.25238 4.80819i −0.233560 0.498586i
\(94\) 4.17146 + 7.22518i 0.430253 + 0.745221i
\(95\) −0.628618 5.98090i −0.0644949 0.613628i
\(96\) −4.41914 3.21069i −0.451026 0.327690i
\(97\) −1.12892 1.25380i −0.114625 0.127304i 0.683101 0.730323i \(-0.260631\pi\)
−0.797726 + 0.603020i \(0.793964\pi\)
\(98\) 2.23291 3.86750i 0.225557 0.390677i
\(99\) −2.26642 −0.227784
\(100\) 4.30489 + 4.78107i 0.430489 + 0.478107i
\(101\) −7.74097 + 8.59722i −0.770255 + 0.855455i −0.992839 0.119458i \(-0.961884\pi\)
0.222584 + 0.974914i \(0.428551\pi\)
\(102\) −1.12186 + 1.24596i −0.111081 + 0.123368i
\(103\) −2.88015 + 2.09255i −0.283790 + 0.206185i −0.720569 0.693383i \(-0.756119\pi\)
0.436779 + 0.899569i \(0.356119\pi\)
\(104\) 1.96042 + 8.18509i 0.192235 + 0.802614i
\(105\) 2.73839 1.98956i 0.267240 0.194161i
\(106\) 0.911923 8.67636i 0.0885737 0.842723i
\(107\) −7.94566 + 8.82455i −0.768136 + 0.853102i −0.992606 0.121379i \(-0.961268\pi\)
0.224470 + 0.974481i \(0.427935\pi\)
\(108\) −6.97696 + 3.10634i −0.671359 + 0.298908i
\(109\) 0.761338 + 0.553144i 0.0729229 + 0.0529816i 0.623649 0.781704i \(-0.285649\pi\)
−0.550727 + 0.834686i \(0.685649\pi\)
\(110\) 0.661054 + 0.140511i 0.0630290 + 0.0133972i
\(111\) 0.923736 0.411274i 0.0876772 0.0390364i
\(112\) −4.87930 + 3.54502i −0.461051 + 0.334973i
\(113\) −1.02977 1.14368i −0.0968730 0.107588i 0.692759 0.721169i \(-0.256395\pi\)
−0.789632 + 0.613581i \(0.789728\pi\)
\(114\) 3.58687 + 1.59698i 0.335941 + 0.149571i
\(115\) −1.22255 + 1.35778i −0.114003 + 0.126613i
\(116\) 1.63656 + 5.03680i 0.151950 + 0.467655i
\(117\) 7.22616 + 2.14470i 0.668058 + 0.198278i
\(118\) −4.70288 −0.432935
\(119\) 5.00514 + 8.66916i 0.458820 + 0.794700i
\(120\) 2.07780 0.441650i 0.189676 0.0403169i
\(121\) −8.97532 + 3.99607i −0.815938 + 0.363279i
\(122\) −2.67964 + 1.94688i −0.242604 + 0.176262i
\(123\) 1.92658 3.33693i 0.173714 0.300881i
\(124\) −8.38102 2.54626i −0.752638 0.228661i
\(125\) −8.67343 −0.775775
\(126\) −0.531021 5.05232i −0.0473071 0.450097i
\(127\) 0.992067 9.43888i 0.0880317 0.837565i −0.858035 0.513592i \(-0.828314\pi\)
0.946066 0.323973i \(-0.105019\pi\)
\(128\) −10.8866 + 2.31401i −0.962247 + 0.204532i
\(129\) 7.71501 0.679268
\(130\) −1.97471 1.07355i −0.173193 0.0941567i
\(131\) −5.20278 + 16.0125i −0.454569 + 1.39902i 0.417071 + 0.908874i \(0.363057\pi\)
−0.871640 + 0.490147i \(0.836943\pi\)
\(132\) 1.08831 1.20869i 0.0947252 0.105203i
\(133\) 15.6860 17.4211i 1.36015 1.51060i
\(134\) −1.06004 10.0856i −0.0915738 0.871267i
\(135\) 1.43148 4.40564i 0.123202 0.379177i
\(136\) 0.656662 + 6.24772i 0.0563083 + 0.535738i
\(137\) 13.6219 6.06487i 1.16380 0.518157i 0.268350 0.963321i \(-0.413522\pi\)
0.895449 + 0.445165i \(0.146855\pi\)
\(138\) −0.368613 1.13447i −0.0313784 0.0965728i
\(139\) 12.6997 5.65428i 1.07718 0.479590i 0.210056 0.977689i \(-0.432635\pi\)
0.867120 + 0.498100i \(0.165969\pi\)
\(140\) 0.583686 5.55340i 0.0493304 0.469348i
\(141\) −8.14901 + 9.05039i −0.686270 + 0.762180i
\(142\) 7.51741 + 5.46172i 0.630847 + 0.458337i
\(143\) −3.87564 + 0.508122i −0.324098 + 0.0424913i
\(144\) −1.04748 + 3.22382i −0.0872902 + 0.268652i
\(145\) −2.93457 1.30656i −0.243703 0.108504i
\(146\) −3.71480 + 4.12570i −0.307439 + 0.341445i
\(147\) 6.37647 + 1.35536i 0.525922 + 0.111788i
\(148\) 0.515474 1.58646i 0.0423717 0.130407i
\(149\) −8.59154 + 14.8810i −0.703847 + 1.21910i 0.263260 + 0.964725i \(0.415202\pi\)
−0.967106 + 0.254373i \(0.918131\pi\)
\(150\) 1.27386 2.20639i 0.104010 0.180151i
\(151\) −0.581715 + 1.79034i −0.0473393 + 0.145695i −0.971932 0.235261i \(-0.924405\pi\)
0.924593 + 0.380957i \(0.124405\pi\)
\(152\) 13.4398 5.98380i 1.09011 0.485350i
\(153\) 5.13973 + 2.28836i 0.415523 + 0.185003i
\(154\) 1.31720 + 2.28146i 0.106143 + 0.183845i
\(155\) 4.54926 2.74435i 0.365406 0.220432i
\(156\) −4.61369 + 2.82387i −0.369391 + 0.226091i
\(157\) 7.70841 5.60049i 0.615198 0.446967i −0.236043 0.971743i \(-0.575851\pi\)
0.851241 + 0.524775i \(0.175851\pi\)
\(158\) −1.16437 + 11.0782i −0.0926321 + 0.881336i
\(159\) 12.4567 2.64775i 0.987881 0.209981i
\(160\) 2.73289 4.73351i 0.216054 0.374217i
\(161\) −7.12205 −0.561296
\(162\) −0.717908 0.797317i −0.0564041 0.0626432i
\(163\) −21.7057 4.61369i −1.70012 0.361372i −0.747202 0.664597i \(-0.768603\pi\)
−0.952919 + 0.303225i \(0.901937\pi\)
\(164\) −1.96429 6.04546i −0.153385 0.472071i
\(165\) 0.103120 + 0.981120i 0.00802787 + 0.0763801i
\(166\) −1.96781 + 0.418270i −0.152731 + 0.0324640i
\(167\) −19.1445 8.52368i −1.48145 0.659582i −0.502663 0.864483i \(-0.667646\pi\)
−0.978783 + 0.204900i \(0.934313\pi\)
\(168\) 6.69895 + 4.86707i 0.516835 + 0.375503i
\(169\) 12.8378 + 2.04743i 0.987520 + 0.157495i
\(170\) −1.35725 0.986099i −0.104096 0.0756304i
\(171\) 1.37721 13.1033i 0.105318 1.00204i
\(172\) 8.51635 9.45837i 0.649366 0.721194i
\(173\) 0.997086 0.443931i 0.0758070 0.0337515i −0.368483 0.929635i \(-0.620123\pi\)
0.444290 + 0.895883i \(0.353456\pi\)
\(174\) 1.69670 1.23273i 0.128627 0.0934527i
\(175\) −10.1784 11.3042i −0.769413 0.854520i
\(176\) −0.183740 1.74817i −0.0138499 0.131773i
\(177\) −2.12140 6.52899i −0.159454 0.490749i
\(178\) 5.84864 + 1.24317i 0.438374 + 0.0931792i
\(179\) 1.80513 0.383692i 0.134922 0.0286785i −0.139956 0.990158i \(-0.544696\pi\)
0.274877 + 0.961479i \(0.411363\pi\)
\(180\) −1.56920 2.71794i −0.116961 0.202583i
\(181\) 12.2280 0.908898 0.454449 0.890773i \(-0.349836\pi\)
0.454449 + 0.890773i \(0.349836\pi\)
\(182\) −2.04077 8.52056i −0.151272 0.631586i
\(183\) −3.91158 2.84193i −0.289153 0.210082i
\(184\) −4.08316 1.81794i −0.301014 0.134020i
\(185\) 0.505895 + 0.876236i 0.0371941 + 0.0644221i
\(186\) 0.0666230 + 3.46807i 0.00488503 + 0.254291i
\(187\) −2.91753 −0.213351
\(188\) 2.10007 + 19.9809i 0.153164 + 1.45726i
\(189\) 16.4961 7.34456i 1.19992 0.534238i
\(190\) −1.21406 + 3.73650i −0.0880772 + 0.271074i
\(191\) −10.4409 + 18.0842i −0.755478 + 1.30853i 0.189659 + 0.981850i \(0.439262\pi\)
−0.945136 + 0.326676i \(0.894071\pi\)
\(192\) 0.238006 + 0.412238i 0.0171766 + 0.0297507i
\(193\) 9.98870 2.12316i 0.719002 0.152829i 0.166141 0.986102i \(-0.446869\pi\)
0.552861 + 0.833273i \(0.313536\pi\)
\(194\) 0.340597 + 1.04825i 0.0244535 + 0.0752600i
\(195\) 0.599646 3.22574i 0.0429416 0.231000i
\(196\) 8.70041 6.32122i 0.621458 0.451516i
\(197\) −5.00069 + 1.06293i −0.356285 + 0.0757306i −0.382577 0.923924i \(-0.624963\pi\)
0.0262923 + 0.999654i \(0.491630\pi\)
\(198\) 1.35262 + 0.602226i 0.0961267 + 0.0427984i
\(199\) −2.02769 + 0.902784i −0.143739 + 0.0639967i −0.477345 0.878716i \(-0.658401\pi\)
0.333607 + 0.942712i \(0.391734\pi\)
\(200\) −2.94993 9.07894i −0.208591 0.641978i
\(201\) 13.5237 6.02113i 0.953887 0.424698i
\(202\) 6.90431 3.07400i 0.485785 0.216286i
\(203\) −3.86943 11.9089i −0.271581 0.835839i
\(204\) −3.68843 + 1.64219i −0.258242 + 0.114977i
\(205\) 3.52224 + 1.56820i 0.246004 + 0.109528i
\(206\) 2.27493 0.483551i 0.158502 0.0336906i
\(207\) −3.23837 + 2.35282i −0.225082 + 0.163532i
\(208\) −1.06846 + 5.74766i −0.0740842 + 0.398529i
\(209\) 2.11132 + 6.49798i 0.146043 + 0.449475i
\(210\) −2.16296 + 0.459751i −0.149258 + 0.0317258i
\(211\) 2.08747 + 3.61561i 0.143708 + 0.248909i 0.928890 0.370356i \(-0.120764\pi\)
−0.785182 + 0.619264i \(0.787431\pi\)
\(212\) 10.5045 18.1943i 0.721452 1.24959i
\(213\) −4.19149 + 12.9001i −0.287196 + 0.883899i
\(214\) 7.08688 3.15528i 0.484449 0.215691i
\(215\) 0.806944 + 7.67756i 0.0550331 + 0.523605i
\(216\) 11.3322 0.771057
\(217\) 19.8159 + 6.02031i 1.34519 + 0.408686i
\(218\) −0.307394 0.532422i −0.0208194 0.0360602i
\(219\) −7.40338 3.29620i −0.500274 0.222736i
\(220\) 1.31665 + 0.956605i 0.0887688 + 0.0644943i
\(221\) 9.30213 + 2.76085i 0.625729 + 0.185715i
\(222\) −0.660577 −0.0443350
\(223\) 1.20340 + 2.08434i 0.0805854 + 0.139578i 0.903502 0.428585i \(-0.140988\pi\)
−0.822916 + 0.568163i \(0.807654\pi\)
\(224\) 20.8404 4.42977i 1.39246 0.295976i
\(225\) −8.36250 1.77750i −0.557500 0.118500i
\(226\) 0.310684 + 0.956188i 0.0206664 + 0.0636047i
\(227\) −1.20833 11.4965i −0.0801994 0.763046i −0.958530 0.284992i \(-0.908009\pi\)
0.878330 0.478054i \(-0.158658\pi\)
\(228\) 6.32672 + 7.02653i 0.418997 + 0.465343i
\(229\) 6.82750 4.96047i 0.451174 0.327797i −0.338885 0.940828i \(-0.610050\pi\)
0.790059 + 0.613031i \(0.210050\pi\)
\(230\) 1.09041 0.485483i 0.0718997 0.0320118i
\(231\) −2.57317 + 2.85779i −0.169302 + 0.188029i
\(232\) 0.821410 7.81520i 0.0539282 0.513093i
\(233\) 8.14746 + 5.91948i 0.533758 + 0.387798i 0.821762 0.569831i \(-0.192991\pi\)
−0.288004 + 0.957629i \(0.592991\pi\)
\(234\) −3.74275 3.20009i −0.244672 0.209196i
\(235\) −9.85880 7.16283i −0.643117 0.467252i
\(236\) −10.3461 4.60638i −0.673473 0.299850i
\(237\) −15.9051 + 3.38073i −1.03315 + 0.219602i
\(238\) −0.683575 6.50378i −0.0443096 0.421578i
\(239\) −4.28959 13.2020i −0.277470 0.853966i −0.988555 0.150860i \(-0.951796\pi\)
0.711085 0.703106i \(-0.248204\pi\)
\(240\) 1.44323 + 0.306768i 0.0931602 + 0.0198018i
\(241\) −3.21149 3.56672i −0.206870 0.229753i 0.630777 0.775964i \(-0.282736\pi\)
−0.837647 + 0.546211i \(0.816070\pi\)
\(242\) 6.41838 0.412589
\(243\) 8.06490 13.9688i 0.517363 0.896100i
\(244\) −7.80200 + 1.65837i −0.499472 + 0.106166i
\(245\) −0.681840 + 6.48728i −0.0435612 + 0.414457i
\(246\) −2.03648 + 1.47959i −0.129841 + 0.0943351i
\(247\) −0.582633 22.7158i −0.0370721 1.44537i
\(248\) 9.82396 + 8.50962i 0.623822 + 0.540361i
\(249\) −1.46833 2.54322i −0.0930516 0.161170i
\(250\) 5.17639 + 2.30468i 0.327383 + 0.145760i
\(251\) −7.14668 + 3.18191i −0.451095 + 0.200840i −0.619693 0.784845i \(-0.712743\pi\)
0.168598 + 0.985685i \(0.446076\pi\)
\(252\) 3.78043 11.6350i 0.238145 0.732934i
\(253\) 1.03787 1.79765i 0.0652505 0.113017i
\(254\) −3.10014 + 5.36961i −0.194520 + 0.336919i
\(255\) 0.756763 2.32908i 0.0473903 0.145852i
\(256\) 8.08859 + 1.71928i 0.505537 + 0.107455i
\(257\) −7.97486 + 8.85698i −0.497458 + 0.552483i −0.938624 0.344942i \(-0.887898\pi\)
0.441166 + 0.897426i \(0.354565\pi\)
\(258\) −4.60439 2.05001i −0.286657 0.127628i
\(259\) −1.21877 + 3.75099i −0.0757308 + 0.233075i
\(260\) −3.29273 4.29594i −0.204206 0.266423i
\(261\) −5.69359 4.13664i −0.352425 0.256051i
\(262\) 7.35987 8.17396i 0.454694 0.504989i
\(263\) 2.62772 25.0011i 0.162032 1.54164i −0.547406 0.836867i \(-0.684385\pi\)
0.709438 0.704768i \(-0.248949\pi\)
\(264\) −2.20470 + 0.981594i −0.135690 + 0.0604129i
\(265\) 3.93780 + 12.1193i 0.241897 + 0.744483i
\(266\) −13.9907 + 6.22904i −0.857822 + 0.381927i
\(267\) 0.912348 + 8.68041i 0.0558348 + 0.531232i
\(268\) 7.54663 23.2262i 0.460984 1.41876i
\(269\) 0.776028 + 7.38341i 0.0473152 + 0.450174i 0.992373 + 0.123271i \(0.0393385\pi\)
−0.945058 + 0.326903i \(0.893995\pi\)
\(270\) −2.02497 + 2.24896i −0.123236 + 0.136867i
\(271\) −17.3279 + 19.2446i −1.05259 + 1.16902i −0.0673742 + 0.997728i \(0.521462\pi\)
−0.985220 + 0.171296i \(0.945205\pi\)
\(272\) −1.34841 + 4.14998i −0.0817594 + 0.251629i
\(273\) 10.9085 6.67668i 0.660212 0.404091i
\(274\) −9.74123 −0.588489
\(275\) 4.33652 0.921756i 0.261502 0.0555840i
\(276\) 0.300265 2.85683i 0.0180738 0.171961i
\(277\) 2.31791 + 22.0535i 0.139270 + 1.32507i 0.811339 + 0.584576i \(0.198739\pi\)
−0.672069 + 0.740489i \(0.734594\pi\)
\(278\) −9.08175 −0.544687
\(279\) 10.9991 3.80888i 0.658496 0.228032i
\(280\) −4.14278 + 7.17550i −0.247578 + 0.428818i
\(281\) −14.3705 + 10.4407i −0.857269 + 0.622843i −0.927141 0.374713i \(-0.877741\pi\)
0.0698713 + 0.997556i \(0.477741\pi\)
\(282\) 7.26825 3.23603i 0.432818 0.192703i
\(283\) −14.5248 + 3.08734i −0.863410 + 0.183524i −0.618272 0.785964i \(-0.712167\pi\)
−0.245139 + 0.969488i \(0.578834\pi\)
\(284\) 11.1883 + 19.3786i 0.663901 + 1.14991i
\(285\) −5.73500 −0.339712
\(286\) 2.44804 + 0.726571i 0.144756 + 0.0429631i
\(287\) 4.64431 + 14.2937i 0.274145 + 0.843731i
\(288\) 8.01267 8.89898i 0.472151 0.524377i
\(289\) −8.91397 3.96875i −0.524351 0.233456i
\(290\) 1.40421 + 1.55953i 0.0824579 + 0.0915788i
\(291\) −1.30164 + 0.945700i −0.0763037 + 0.0554379i
\(292\) −12.2134 + 5.43775i −0.714735 + 0.318220i
\(293\) −3.42154 0.727272i −0.199889 0.0424877i 0.106879 0.994272i \(-0.465914\pi\)
−0.306768 + 0.951784i \(0.599248\pi\)
\(294\) −3.44540 2.50323i −0.200940 0.145991i
\(295\) 6.27541 2.79399i 0.365369 0.162673i
\(296\) −1.65620 + 1.83939i −0.0962645 + 0.106913i
\(297\) −0.550119 + 5.23403i −0.0319211 + 0.303709i
\(298\) 9.08164 6.59820i 0.526085 0.382223i
\(299\) −5.01021 + 4.74941i −0.289748 + 0.274665i
\(300\) 4.96353 3.60621i 0.286569 0.208205i
\(301\) −20.1358 + 22.3631i −1.16061 + 1.28899i
\(302\) 0.822895 0.913918i 0.0473523 0.0525901i
\(303\) 7.38204 + 8.19859i 0.424087 + 0.470997i
\(304\) 10.2187 0.586083
\(305\) 2.41901 4.18985i 0.138512 0.239910i
\(306\) −2.45939 2.73143i −0.140594 0.156145i
\(307\) 0.309403 + 0.224794i 0.0176586 + 0.0128297i 0.596580 0.802554i \(-0.296526\pi\)
−0.578921 + 0.815384i \(0.696526\pi\)
\(308\) 0.663130 + 6.30926i 0.0377853 + 0.359503i
\(309\) 1.69750 + 2.94015i 0.0965672 + 0.167259i
\(310\) −3.44426 + 0.429039i −0.195621 + 0.0243678i
\(311\) −8.42206 −0.477571 −0.238786 0.971072i \(-0.576749\pi\)
−0.238786 + 0.971072i \(0.576749\pi\)
\(312\) 7.95823 1.04338i 0.450546 0.0590695i
\(313\) −17.1143 12.4342i −0.967356 0.702825i −0.0125082 0.999922i \(-0.503982\pi\)
−0.954847 + 0.297097i \(0.903982\pi\)
\(314\) −6.08859 + 1.29417i −0.343599 + 0.0730343i
\(315\) 3.71018 + 6.42622i 0.209045 + 0.362076i
\(316\) −13.4124 + 23.2310i −0.754508 + 1.30685i
\(317\) 4.98604 15.3454i 0.280044 0.861886i −0.707797 0.706416i \(-0.750311\pi\)
0.987841 0.155470i \(-0.0496891\pi\)
\(318\) −8.13784 1.72975i −0.456347 0.0969996i
\(319\) 3.56976 + 0.758775i 0.199868 + 0.0424832i
\(320\) −0.385343 + 0.279968i −0.0215413 + 0.0156507i
\(321\) 7.57725 + 8.41538i 0.422921 + 0.469701i
\(322\) 4.25051 + 1.89245i 0.236871 + 0.105462i
\(323\) 1.77287 16.8677i 0.0986450 0.938544i
\(324\) −0.798403 2.45723i −0.0443557 0.136513i
\(325\) −14.6986 1.16475i −0.815333 0.0646084i
\(326\) 11.7282 + 8.52106i 0.649567 + 0.471938i
\(327\) 0.600498 0.666921i 0.0332076 0.0368808i
\(328\) −0.985904 + 9.38025i −0.0544374 + 0.517937i
\(329\) −4.96536 47.2422i −0.273749 2.60455i
\(330\) 0.199157 0.612942i 0.0109632 0.0337414i
\(331\) 1.48322 + 14.1118i 0.0815249 + 0.775657i 0.956548 + 0.291576i \(0.0941796\pi\)
−0.875023 + 0.484082i \(0.839154\pi\)
\(332\) −4.73875 1.00725i −0.260073 0.0552802i
\(333\) 0.684994 + 2.10819i 0.0375374 + 0.115528i
\(334\) 9.16074 + 10.1740i 0.501253 + 0.556698i
\(335\) 7.40640 + 12.8283i 0.404655 + 0.700883i
\(336\) 2.87575 + 4.98095i 0.156885 + 0.271733i
\(337\) −5.33684 + 16.4251i −0.290716 + 0.894733i 0.693911 + 0.720061i \(0.255886\pi\)
−0.984627 + 0.174671i \(0.944114\pi\)
\(338\) −7.11766 4.63313i −0.387150 0.252009i
\(339\) −1.18733 + 0.862643i −0.0644867 + 0.0468523i
\(340\) −2.02001 3.49876i −0.109550 0.189747i
\(341\) −4.40727 + 4.12433i −0.238667 + 0.223345i
\(342\) −4.30370 + 7.45423i −0.232718 + 0.403079i
\(343\) 0.493872 0.358819i 0.0266666 0.0193744i
\(344\) −17.2524 + 7.68127i −0.930188 + 0.414146i
\(345\) 1.16586 + 1.29482i 0.0627679 + 0.0697108i
\(346\) −0.713030 −0.0383328
\(347\) 5.78305 10.0165i 0.310450 0.537716i −0.668010 0.744153i \(-0.732854\pi\)
0.978460 + 0.206437i \(0.0661868\pi\)
\(348\) 4.94008 1.05005i 0.264816 0.0562884i
\(349\) −0.504774 + 0.560608i −0.0270199 + 0.0300087i −0.756503 0.653990i \(-0.773094\pi\)
0.729483 + 0.683999i \(0.239761\pi\)
\(350\) 3.07083 + 9.45104i 0.164143 + 0.505179i
\(351\) 6.70691 16.1674i 0.357988 0.862950i
\(352\) −1.91891 + 5.90579i −0.102278 + 0.314780i
\(353\) −2.91500 1.29784i −0.155150 0.0690771i 0.327693 0.944784i \(-0.393729\pi\)
−0.482842 + 0.875707i \(0.660396\pi\)
\(354\) −0.468792 + 4.46025i −0.0249160 + 0.237060i
\(355\) −13.2759 2.82187i −0.704610 0.149769i
\(356\) 11.6490 + 8.46352i 0.617397 + 0.448565i
\(357\) 8.72082 3.88276i 0.461555 0.205497i
\(358\) −1.17927 0.250662i −0.0623264 0.0132479i
\(359\) −9.39994 6.82945i −0.496110 0.360445i 0.311419 0.950273i \(-0.399196\pi\)
−0.807529 + 0.589828i \(0.799196\pi\)
\(360\) 0.486766 + 4.63127i 0.0256548 + 0.244089i
\(361\) −20.2662 + 4.30771i −1.06664 + 0.226722i
\(362\) −7.29777 3.24918i −0.383562 0.170773i
\(363\) 2.89523 + 8.91060i 0.151960 + 0.467685i
\(364\) 3.85613 20.7437i 0.202116 1.08726i
\(365\) 2.50585 7.71220i 0.131162 0.403675i
\(366\) 1.57932 + 2.73547i 0.0825525 + 0.142985i
\(367\) −10.1696 17.6143i −0.530851 0.919460i −0.999352 0.0359973i \(-0.988539\pi\)
0.468501 0.883463i \(-0.344794\pi\)
\(368\) −2.07735 2.30713i −0.108289 0.120267i
\(369\) 6.83378 + 4.96503i 0.355752 + 0.258469i
\(370\) −0.0690924 0.657370i −0.00359194 0.0341751i
\(371\) −24.8365 + 43.0182i −1.28945 + 2.23339i
\(372\) −3.25033 + 7.69482i −0.168522 + 0.398958i
\(373\) −9.00399 + 15.5954i −0.466209 + 0.807498i −0.999255 0.0385883i \(-0.987714\pi\)
0.533046 + 0.846086i \(0.321047\pi\)
\(374\) 1.74121 + 0.775237i 0.0900359 + 0.0400866i
\(375\) −0.864583 + 8.22596i −0.0446469 + 0.424786i
\(376\) 9.21212 28.3520i 0.475079 1.46214i
\(377\) −10.6636 5.79729i −0.549204 0.298575i
\(378\) −11.7966 −0.606753
\(379\) 4.17849 0.888165i 0.214635 0.0456220i −0.0993393 0.995054i \(-0.531673\pi\)
0.313974 + 0.949432i \(0.398340\pi\)
\(380\) −6.33069 + 7.03094i −0.324757 + 0.360680i
\(381\) −8.85303 1.88177i −0.453554 0.0964060i
\(382\) 11.0365 8.01849i 0.564677 0.410262i
\(383\) 9.33134 + 10.3635i 0.476809 + 0.529550i 0.932781 0.360444i \(-0.117375\pi\)
−0.455972 + 0.889994i \(0.650708\pi\)
\(384\) 1.10944 + 10.5556i 0.0566157 + 0.538663i
\(385\) −3.11306 2.26177i −0.158656 0.115271i
\(386\) −6.52551 1.38704i −0.332140 0.0705985i
\(387\) −1.76790 + 16.8204i −0.0898674 + 0.855031i
\(388\) −0.277444 + 2.63970i −0.0140851 + 0.134011i
\(389\) 9.44097 + 29.0563i 0.478676 + 1.47321i 0.840935 + 0.541136i \(0.182006\pi\)
−0.362259 + 0.932078i \(0.617994\pi\)
\(390\) −1.21501 + 1.76582i −0.0615243 + 0.0894156i
\(391\) −4.16871 + 3.02875i −0.210821 + 0.153170i
\(392\) −15.6086 + 3.31771i −0.788353 + 0.167570i
\(393\) 14.6678 + 6.53052i 0.739892 + 0.329421i
\(394\) 3.26690 + 0.694401i 0.164584 + 0.0349834i
\(395\) −5.02789 15.4743i −0.252981 0.778595i
\(396\) 2.38583 + 2.64973i 0.119892 + 0.133154i
\(397\) 2.36061 4.08869i 0.118476 0.205206i −0.800688 0.599081i \(-0.795533\pi\)
0.919164 + 0.393876i \(0.128866\pi\)
\(398\) 1.45003 0.0726833
\(399\) −14.9587 16.6133i −0.748873 0.831707i
\(400\) 0.693099 6.59440i 0.0346550 0.329720i
\(401\) 30.9591 + 13.7839i 1.54602 + 0.688334i 0.989769 0.142678i \(-0.0455712\pi\)
0.556255 + 0.831012i \(0.312238\pi\)
\(402\) −9.67097 −0.482344
\(403\) 17.9548 8.97923i 0.894390 0.447288i
\(404\) 18.2000 0.905485
\(405\) 1.43165 + 0.637410i 0.0711391 + 0.0316732i
\(406\) −0.855076 + 8.13550i −0.0424367 + 0.403758i
\(407\) −0.769167 0.854246i −0.0381262 0.0423434i
\(408\) 5.99085 0.296591
\(409\) 10.0214 17.3577i 0.495529 0.858281i −0.504458 0.863436i \(-0.668308\pi\)
0.999987 + 0.00515528i \(0.00164098\pi\)
\(410\) −1.68541 1.87184i −0.0832364 0.0924434i
\(411\) −4.39412 13.5237i −0.216746 0.667075i
\(412\) 5.47835 + 1.16446i 0.269899 + 0.0573688i
\(413\) 24.4620 + 10.8912i 1.20370 + 0.535920i
\(414\) 2.55787 0.543693i 0.125713 0.0267210i
\(415\) 2.37730 1.72721i 0.116697 0.0847853i
\(416\) 11.7068 17.0139i 0.573972 0.834175i
\(417\) −4.09664 12.6081i −0.200613 0.617424i
\(418\) 0.466565 4.43907i 0.0228204 0.217122i
\(419\) 1.92185 18.2852i 0.0938887 0.893291i −0.841640 0.540039i \(-0.818409\pi\)
0.935528 0.353252i \(-0.114924\pi\)
\(420\) −5.20871 1.10715i −0.254159 0.0540232i
\(421\) −23.1187 16.7967i −1.12674 0.818622i −0.141520 0.989935i \(-0.545199\pi\)
−0.985217 + 0.171313i \(0.945199\pi\)
\(422\) −0.285096 2.71251i −0.0138783 0.132043i
\(423\) −17.8645 19.8406i −0.868603 0.964681i
\(424\) −25.2197 + 18.3232i −1.22478 + 0.889852i
\(425\) −10.7649 2.28816i −0.522176 0.110992i
\(426\) 5.92929 6.58514i 0.287275 0.319051i
\(427\) 18.4468 3.92099i 0.892705 0.189750i
\(428\) 18.6813 0.902994
\(429\) 0.0955763 + 3.72634i 0.00461447 + 0.179910i
\(430\) 1.55846 4.79646i 0.0751558 0.231306i
\(431\) −1.55030 + 14.7501i −0.0746754 + 0.710489i 0.891573 + 0.452877i \(0.149602\pi\)
−0.966248 + 0.257612i \(0.917064\pi\)
\(432\) 7.19078 + 3.20154i 0.345966 + 0.154034i
\(433\) −7.71193 + 13.3575i −0.370612 + 0.641918i −0.989660 0.143435i \(-0.954185\pi\)
0.619048 + 0.785353i \(0.287519\pi\)
\(434\) −10.2266 8.85839i −0.490892 0.425216i
\(435\) −1.53167 + 2.65293i −0.0734381 + 0.127198i
\(436\) −0.154754 1.47239i −0.00741137 0.0705145i
\(437\) 9.76243 + 7.09282i 0.467000 + 0.339296i
\(438\) 3.54255 + 3.93440i 0.169270 + 0.187993i
\(439\) −0.857292 1.48487i −0.0409163 0.0708692i 0.844842 0.535016i \(-0.179694\pi\)
−0.885758 + 0.464147i \(0.846361\pi\)
\(440\) −1.20743 2.09133i −0.0575619 0.0997001i
\(441\) −4.41616 + 13.5915i −0.210293 + 0.647216i
\(442\) −4.81799 4.11943i −0.229169 0.195941i
\(443\) −10.9094 33.5758i −0.518323 1.59523i −0.777154 0.629311i \(-0.783337\pi\)
0.258831 0.965923i \(-0.416663\pi\)
\(444\) −1.45323 0.647021i −0.0689674 0.0307063i
\(445\) −8.54285 + 1.81584i −0.404970 + 0.0860790i
\(446\) −0.164354 1.56372i −0.00778237 0.0740443i
\(447\) 13.2568 + 9.63165i 0.627027 + 0.455562i
\(448\) −1.81612 0.386028i −0.0858035 0.0182381i
\(449\) 8.99700 4.00572i 0.424595 0.189042i −0.183304 0.983056i \(-0.558679\pi\)
0.607899 + 0.794015i \(0.292013\pi\)
\(450\) 4.51851 + 3.28289i 0.213005 + 0.154757i
\(451\) −4.28462 0.910725i −0.201755 0.0428844i
\(452\) −0.253077 + 2.40787i −0.0119038 + 0.113257i
\(453\) 1.63998 + 0.730168i 0.0770531 + 0.0343063i
\(454\) −2.33366 + 7.18226i −0.109524 + 0.337080i
\(455\) 7.78524 + 10.1572i 0.364978 + 0.476177i
\(456\) −4.33538 13.3429i −0.203023 0.624840i
\(457\) −10.9409 + 12.1511i −0.511792 + 0.568403i −0.942550 0.334065i \(-0.891580\pi\)
0.430758 + 0.902467i \(0.358246\pi\)
\(458\) −5.39280 + 1.14627i −0.251989 + 0.0535619i
\(459\) 6.53223 11.3142i 0.304898 0.528100i
\(460\) 2.87437 0.134018
\(461\) −15.0698 16.7367i −0.701868 0.779504i 0.281804 0.959472i \(-0.409067\pi\)
−0.983672 + 0.179968i \(0.942401\pi\)
\(462\) 2.29506 1.02183i 0.106776 0.0475396i
\(463\) 13.2663 9.63855i 0.616539 0.447942i −0.235172 0.971954i \(-0.575565\pi\)
0.851711 + 0.524012i \(0.175565\pi\)
\(464\) 2.72915 4.72703i 0.126698 0.219447i
\(465\) −2.14929 4.58812i −0.0996708 0.212769i
\(466\) −3.28958 5.69772i −0.152387 0.263942i
\(467\) 14.6263 10.6266i 0.676824 0.491741i −0.195478 0.980708i \(-0.562626\pi\)
0.872303 + 0.488966i \(0.162626\pi\)
\(468\) −5.09944 10.7060i −0.235722 0.494884i
\(469\) −17.8431 + 54.9153i −0.823916 + 2.53575i
\(470\) 3.98054 + 6.89450i 0.183609 + 0.318019i
\(471\) −4.54316 7.86899i −0.209338 0.362584i
\(472\) 11.2443 + 12.4881i 0.517563 + 0.574812i
\(473\) −2.71026 8.34131i −0.124618 0.383534i
\(474\) 10.3906 + 2.20859i 0.477257 + 0.101444i
\(475\) 2.69400 + 25.6317i 0.123609 + 1.17606i
\(476\) 4.86649 14.9775i 0.223055 0.686494i
\(477\) 2.91823 + 27.7651i 0.133617 + 1.27128i
\(478\) −0.947924 + 9.01889i −0.0433570 + 0.412515i
\(479\) −4.32536 + 4.80380i −0.197631 + 0.219491i −0.833812 0.552048i \(-0.813846\pi\)
0.636181 + 0.771540i \(0.280513\pi\)
\(480\) −4.21688 3.06374i −0.192473 0.139840i
\(481\) 1.64401 + 3.45150i 0.0749603 + 0.157375i
\(482\) 0.968910 + 2.98200i 0.0441326 + 0.135826i
\(483\) −0.709938 + 6.75461i −0.0323033 + 0.307345i
\(484\) 14.1201 + 6.28667i 0.641822 + 0.285758i
\(485\) −1.07725 1.19641i −0.0489156 0.0543262i
\(486\) −8.52495 + 6.19374i −0.386700 + 0.280954i
\(487\) −6.49117 1.37974i −0.294143 0.0625221i 0.0584765 0.998289i \(-0.481376\pi\)
−0.352620 + 0.935767i \(0.614709\pi\)
\(488\) 11.5766 + 2.46069i 0.524050 + 0.111390i
\(489\) −6.53932 + 20.1260i −0.295718 + 0.910128i
\(490\) 2.13071 3.69049i 0.0962556 0.166720i
\(491\) −14.4228 24.9810i −0.650891 1.12738i −0.982907 0.184103i \(-0.941062\pi\)
0.332016 0.943274i \(-0.392271\pi\)
\(492\) −5.92937 + 1.26033i −0.267317 + 0.0568199i
\(493\) −7.32928 5.32504i −0.330094 0.239828i
\(494\) −5.68824 + 13.7118i −0.255926 + 0.616924i
\(495\) −2.16269 −0.0972057
\(496\) 3.82963 + 8.17518i 0.171955 + 0.367076i
\(497\) −26.4532 45.8183i −1.18659 2.05523i
\(498\) 0.200537 + 1.90798i 0.00898626 + 0.0854985i
\(499\) 14.7126 + 10.6894i 0.658628 + 0.478522i 0.866199 0.499698i \(-0.166556\pi\)
−0.207571 + 0.978220i \(0.566556\pi\)
\(500\) 9.13039 + 10.1403i 0.408323 + 0.453489i
\(501\) −9.99229 + 17.3072i −0.446423 + 0.773226i
\(502\) 5.11069 0.228101
\(503\) −0.458814 0.509565i −0.0204575 0.0227204i 0.732829 0.680413i \(-0.238199\pi\)
−0.753287 + 0.657692i \(0.771533\pi\)
\(504\) −12.1464 + 13.4899i −0.541042 + 0.600889i
\(505\) −7.38667 + 8.20373i −0.328703 + 0.365061i
\(506\) −1.09708 + 0.797074i −0.0487711 + 0.0354343i
\(507\) 3.22149 11.9713i 0.143071 0.531666i
\(508\) −12.0796 + 8.77632i −0.535944 + 0.389386i
\(509\) 4.30788 40.9867i 0.190943 1.81670i −0.309460 0.950912i \(-0.600148\pi\)
0.500404 0.865792i \(-0.333185\pi\)
\(510\) −1.07052 + 1.18893i −0.0474033 + 0.0526467i
\(511\) 28.8770 12.8569i 1.27744 0.568754i
\(512\) 13.6379 + 9.90850i 0.602715 + 0.437898i
\(513\) −29.9262 6.36102i −1.32128 0.280846i
\(514\) 7.11292 3.16688i 0.313738 0.139685i
\(515\) −2.74833 + 1.99678i −0.121106 + 0.0879886i
\(516\) −8.12147 9.01981i −0.357528 0.397075i
\(517\) 12.6478 + 5.63117i 0.556251 + 0.247659i
\(518\) 1.72408 1.91478i 0.0757516 0.0841307i
\(519\) −0.321637 0.989897i −0.0141183 0.0434516i
\(520\) 1.87069 + 7.81047i 0.0820354 + 0.342512i
\(521\) 27.9943 1.22645 0.613227 0.789907i \(-0.289871\pi\)
0.613227 + 0.789907i \(0.289871\pi\)
\(522\) 2.29882 + 3.98167i 0.100617 + 0.174273i
\(523\) −14.0464 + 2.98565i −0.614206 + 0.130553i −0.504501 0.863411i \(-0.668324\pi\)
−0.109704 + 0.993964i \(0.534990\pi\)
\(524\) 24.1975 10.7734i 1.05707 0.470640i
\(525\) −11.7356 + 8.52643i −0.512185 + 0.372124i
\(526\) −8.21147 + 14.2227i −0.358037 + 0.620138i
\(527\) 14.1589 4.90312i 0.616773 0.213583i
\(528\) −1.67630 −0.0729515
\(529\) 2.02094 + 19.2280i 0.0878671 + 0.836000i
\(530\) 0.870185 8.27926i 0.0377984 0.359628i
\(531\) 14.7208 3.12900i 0.638827 0.135787i
\(532\) −36.8799 −1.59895
\(533\) 12.7991 + 6.95823i 0.554390 + 0.301395i
\(534\) 1.76203 5.42298i 0.0762506 0.234675i
\(535\) −7.58200 + 8.42066i −0.327798 + 0.364057i
\(536\) −24.2470 + 26.9291i −1.04731 + 1.16316i
\(537\) −0.183958 1.75025i −0.00793839 0.0755287i
\(538\) 1.49875 4.61269i 0.0646159 0.198867i
\(539\) −0.774644 7.37025i −0.0333663 0.317459i
\(540\) −6.65764 + 2.96417i −0.286499 + 0.127558i
\(541\) −3.71045 11.4196i −0.159525 0.490966i 0.839067 0.544029i \(-0.183102\pi\)
−0.998591 + 0.0530625i \(0.983102\pi\)
\(542\) 15.4550 6.88103i 0.663851 0.295566i
\(543\) 1.21891 11.5971i 0.0523083 0.497680i
\(544\) 10.3146 11.4555i 0.442235 0.491152i
\(545\) 0.726492 + 0.527828i 0.0311195 + 0.0226096i
\(546\) −8.28440 + 1.08614i −0.354540 + 0.0464824i
\(547\) 4.10871 12.6453i 0.175676 0.540675i −0.823988 0.566608i \(-0.808256\pi\)
0.999664 + 0.0259327i \(0.00825554\pi\)
\(548\) −21.4302 9.54133i −0.915452 0.407585i
\(549\) 7.09239 7.87690i 0.302696 0.336178i
\(550\) −2.83300 0.602174i −0.120800 0.0256768i
\(551\) −6.55605 + 20.1775i −0.279297 + 0.859588i
\(552\) −2.13116 + 3.69129i −0.0907084 + 0.157112i
\(553\) 31.7120 54.9268i 1.34853 2.33572i
\(554\) 4.47663 13.7776i 0.190194 0.585356i
\(555\) 0.881458 0.392450i 0.0374158 0.0166586i
\(556\) −19.9794 8.89538i −0.847314 0.377248i
\(557\) −9.97106 17.2704i −0.422487 0.731769i 0.573695 0.819069i \(-0.305510\pi\)
−0.996182 + 0.0872998i \(0.972176\pi\)
\(558\) −7.57643 0.649457i −0.320736 0.0274937i
\(559\) 0.747914 + 29.1598i 0.0316334 + 1.23333i
\(560\) −4.65598 + 3.38277i −0.196751 + 0.142948i
\(561\) −0.290825 + 2.76701i −0.0122786 + 0.116823i
\(562\) 11.3507 2.41267i 0.478801 0.101772i
\(563\) 4.53991 7.86335i 0.191334 0.331401i −0.754358 0.656463i \(-0.772052\pi\)
0.945693 + 0.325062i \(0.105385\pi\)
\(564\) 19.1594 0.806755
\(565\) −0.982643 1.09134i −0.0413401 0.0459128i
\(566\) 9.48891 + 2.01693i 0.398848 + 0.0847779i
\(567\) 1.88772 + 5.80981i 0.0792768 + 0.243989i
\(568\) −3.47060 33.0205i −0.145623 1.38551i
\(569\) 1.73703 0.369217i 0.0728200 0.0154784i −0.171358 0.985209i \(-0.554815\pi\)
0.244178 + 0.969731i \(0.421482\pi\)
\(570\) 3.42270 + 1.52389i 0.143361 + 0.0638286i
\(571\) 21.8949 + 15.9076i 0.916275 + 0.665713i 0.942594 0.333941i \(-0.108379\pi\)
−0.0263191 + 0.999654i \(0.508379\pi\)
\(572\) 4.67389 + 3.99622i 0.195425 + 0.167090i
\(573\) 16.1104 + 11.7049i 0.673023 + 0.488980i
\(574\) 1.02631 9.76470i 0.0428374 0.407571i
\(575\) 5.23934 5.81887i 0.218496 0.242664i
\(576\) −0.953310 + 0.424441i −0.0397212 + 0.0176850i
\(577\) −15.0902 + 10.9637i −0.628213 + 0.456424i −0.855781 0.517339i \(-0.826923\pi\)
0.227567 + 0.973762i \(0.426923\pi\)
\(578\) 4.26538 + 4.73718i 0.177416 + 0.197041i
\(579\) −1.01794 9.68501i −0.0423040 0.402495i
\(580\) 1.56165 + 4.80627i 0.0648441 + 0.199570i
\(581\) 11.2042 + 2.38152i 0.464828 + 0.0988022i
\(582\) 1.02812 0.218534i 0.0426170 0.00905853i
\(583\) −7.23870 12.5378i −0.299796 0.519263i
\(584\) 19.8373 0.820874
\(585\) 6.89542 + 2.04654i 0.285091 + 0.0846142i
\(586\) 1.84876 + 1.34320i 0.0763717 + 0.0554873i
\(587\) 42.2422 + 18.8074i 1.74352 + 0.776265i 0.993365 + 0.115003i \(0.0366879\pi\)
0.750155 + 0.661262i \(0.229979\pi\)
\(588\) −5.12783 8.88165i −0.211468 0.366273i
\(589\) −21.1667 27.9868i −0.872157 1.15318i
\(590\) −4.48764 −0.184753
\(591\) 0.509614 + 4.84865i 0.0209627 + 0.199447i
\(592\) −1.57059 + 0.699273i −0.0645510 + 0.0287399i
\(593\) 11.5762 35.6280i 0.475379 1.46307i −0.370066 0.929006i \(-0.620665\pi\)
0.845445 0.534062i \(-0.179335\pi\)
\(594\) 1.71909 2.97754i 0.0705349 0.122170i
\(595\) 4.77606 + 8.27238i 0.195799 + 0.339134i
\(596\) 26.4419 5.62040i 1.08310 0.230221i
\(597\) 0.654085 + 2.01307i 0.0267699 + 0.0823893i
\(598\) 4.25214 1.50319i 0.173883 0.0614702i
\(599\) −26.2681 + 19.0849i −1.07328 + 0.779787i −0.976500 0.215518i \(-0.930856\pi\)
−0.0967848 + 0.995305i \(0.530856\pi\)
\(600\) −8.90460 + 1.89273i −0.363529 + 0.0772704i
\(601\) 15.9548 + 7.10355i 0.650811 + 0.289760i 0.705464 0.708746i \(-0.250739\pi\)
−0.0546531 + 0.998505i \(0.517405\pi\)
\(602\) 17.9595 7.99609i 0.731975 0.325896i
\(603\) 10.0284 + 30.8644i 0.408390 + 1.25689i
\(604\) 2.70549 1.20456i 0.110085 0.0490129i
\(605\) −8.56453 + 3.81317i −0.348198 + 0.155028i
\(606\) −2.22717 6.85453i −0.0904726 0.278446i
\(607\) −28.2984 + 12.5992i −1.14859 + 0.511387i −0.890613 0.454762i \(-0.849724\pi\)
−0.257982 + 0.966150i \(0.583057\pi\)
\(608\) −32.9783 14.6829i −1.33745 0.595469i
\(609\) −11.6802 + 2.48270i −0.473305 + 0.100604i
\(610\) −2.55700 + 1.85777i −0.103530 + 0.0752189i
\(611\) −34.9970 29.9228i −1.41583 1.21055i
\(612\) −2.73514 8.41791i −0.110562 0.340274i
\(613\) 42.5747 9.04952i 1.71957 0.365507i 0.760649 0.649164i \(-0.224881\pi\)
0.958926 + 0.283657i \(0.0915478\pi\)
\(614\) −0.124923 0.216373i −0.00504148 0.00873210i
\(615\) 1.83840 3.18420i 0.0741315 0.128399i
\(616\) 2.90886 8.95256i 0.117201 0.360709i
\(617\) 25.5224 11.3633i 1.02749 0.457470i 0.177422 0.984135i \(-0.443224\pi\)
0.850073 + 0.526665i \(0.176558\pi\)
\(618\) −0.231835 2.20576i −0.00932578 0.0887288i
\(619\) 13.3559 0.536819 0.268409 0.963305i \(-0.413502\pi\)
0.268409 + 0.963305i \(0.413502\pi\)
\(620\) −7.99743 2.42972i −0.321185 0.0975800i
\(621\) 4.64751 + 8.04972i 0.186498 + 0.323024i
\(622\) 5.02637 + 2.23788i 0.201539 + 0.0897310i
\(623\) −27.5427 20.0109i −1.10347 0.801720i
\(624\) 5.34463 + 1.58627i 0.213956 + 0.0635017i
\(625\) 12.1708 0.486830
\(626\) 6.90997 + 11.9684i 0.276178 + 0.478354i
\(627\) 6.37320 1.35467i 0.254521 0.0541001i
\(628\) −14.6622 3.11655i −0.585085 0.124364i
\(629\) 0.881783 + 2.71385i 0.0351590 + 0.108208i
\(630\) −0.506716 4.82108i −0.0201881 0.192077i
\(631\) −13.5280 15.0244i −0.538541 0.598110i 0.411046 0.911615i \(-0.365164\pi\)
−0.949587 + 0.313504i \(0.898497\pi\)
\(632\) 32.2012 23.3955i 1.28090 0.930625i
\(633\) 3.63716 1.61937i 0.144564 0.0643641i
\(634\) −7.05325 + 7.83343i −0.280120 + 0.311105i
\(635\) 0.946661 9.00688i 0.0375671 0.357427i
\(636\) −16.2085 11.7762i −0.642711 0.466957i
\(637\) −4.50459 + 24.2320i −0.178478 + 0.960107i
\(638\) −1.92885 1.40139i −0.0763637 0.0554815i
\(639\) −27.1646 12.0944i −1.07461 0.478449i
\(640\) −10.3883 + 2.20810i −0.410634 + 0.0872830i
\(641\) 0.822533 + 7.82588i 0.0324881 + 0.309104i 0.998684 + 0.0512933i \(0.0163343\pi\)
−0.966196 + 0.257810i \(0.916999\pi\)
\(642\) −2.28606 7.03578i −0.0902238 0.277680i
\(643\) 44.7449 + 9.51081i 1.76457 + 0.375070i 0.972048 0.234780i \(-0.0754371\pi\)
0.792517 + 0.609850i \(0.208770\pi\)
\(644\) 7.49727 + 8.32656i 0.295434 + 0.328113i
\(645\) 7.36190 0.289874
\(646\) −5.54010 + 9.59573i −0.217972 + 0.377539i
\(647\) 25.8488 5.49433i 1.01622 0.216004i 0.330451 0.943823i \(-0.392799\pi\)
0.685769 + 0.727819i \(0.259466\pi\)
\(648\) −0.400729 + 3.81268i −0.0157421 + 0.149776i
\(649\) −6.31378 + 4.58723i −0.247837 + 0.180064i
\(650\) 8.46279 + 4.60080i 0.331938 + 0.180458i
\(651\) 7.68500 18.1934i 0.301199 0.713056i
\(652\) 17.4553 + 30.2334i 0.683602 + 1.18403i
\(653\) 8.38108 + 3.73150i 0.327977 + 0.146025i 0.564118 0.825694i \(-0.309216\pi\)
−0.236141 + 0.971719i \(0.575883\pi\)
\(654\) −0.535595 + 0.238462i −0.0209434 + 0.00932462i
\(655\) −4.96466 + 15.2796i −0.193985 + 0.597025i
\(656\) −3.27569 + 5.67365i −0.127894 + 0.221519i
\(657\) 8.88293 15.3857i 0.346556 0.600253i
\(658\) −9.58968 + 29.5140i −0.373845 + 1.15058i
\(659\) 0.108861 + 0.0231391i 0.00424062 + 0.000901372i 0.210032 0.977695i \(-0.432643\pi\)
−0.205791 + 0.978596i \(0.565977\pi\)
\(660\) 1.03850 1.15337i 0.0404235 0.0448949i
\(661\) −8.26962 3.68187i −0.321651 0.143208i 0.239559 0.970882i \(-0.422997\pi\)
−0.561210 + 0.827674i \(0.689664\pi\)
\(662\) 2.86456 8.81620i 0.111334 0.342651i
\(663\) 3.54566 8.54701i 0.137702 0.331938i
\(664\) 5.81560 + 4.22528i 0.225689 + 0.163973i
\(665\) 14.9681 16.6238i 0.580438 0.644642i
\(666\) 0.151372 1.44021i 0.00586553 0.0558068i
\(667\) 5.88834 2.62166i 0.227997 0.101511i
\(668\) 10.1879 + 31.3551i 0.394181 + 1.21316i
\(669\) 2.09677 0.933541i 0.0810657 0.0360928i
\(670\) −1.01153 9.62403i −0.0390787 0.371809i
\(671\) −1.69851 + 5.22749i −0.0655704 + 0.201805i
\(672\) −2.12382 20.2068i −0.0819282 0.779495i
\(673\) −11.8931 + 13.2086i −0.458444 + 0.509153i −0.927402 0.374067i \(-0.877963\pi\)
0.468958 + 0.883221i \(0.344630\pi\)
\(674\) 7.54950 8.38457i 0.290796 0.322962i
\(675\) −6.13473 + 18.8808i −0.236126 + 0.726720i
\(676\) −11.1204 17.1642i −0.427708 0.660163i
\(677\) 17.5651 0.675081 0.337541 0.941311i \(-0.390405\pi\)
0.337541 + 0.941311i \(0.390405\pi\)
\(678\) 0.937826 0.199341i 0.0360170 0.00765565i
\(679\) 0.655981 6.24124i 0.0251742 0.239517i
\(680\) 0.626607 + 5.96177i 0.0240293 + 0.228623i
\(681\) −11.0238 −0.422432
\(682\) 3.72620 1.29035i 0.142684 0.0494102i
\(683\) 2.39797 4.15340i 0.0917557 0.158926i −0.816494 0.577354i \(-0.804085\pi\)
0.908250 + 0.418428i \(0.137419\pi\)
\(684\) −16.7692 + 12.1835i −0.641186 + 0.465849i
\(685\) 12.9985 5.78729i 0.496646 0.221121i
\(686\) −0.390092 + 0.0829166i −0.0148938 + 0.00316577i
\(687\) −4.02398 6.96973i −0.153524 0.265912i
\(688\) −13.1175 −0.500101
\(689\) 11.2151 + 46.8249i 0.427261 + 1.78389i
\(690\) −0.351742 1.08255i −0.0133906 0.0412120i
\(691\) 15.6472 17.3780i 0.595248 0.661090i −0.367962 0.929841i \(-0.619944\pi\)
0.963210 + 0.268751i \(0.0866109\pi\)
\(692\) −1.56863 0.698398i −0.0596303 0.0265491i
\(693\) −5.64099 6.26495i −0.214283 0.237986i
\(694\) −6.11294 + 4.44131i −0.232044 + 0.168590i
\(695\) 12.1185 5.39549i 0.459680 0.204663i
\(696\) −7.33012 1.55807i −0.277848 0.0590583i
\(697\) 8.79702 + 6.39141i 0.333211 + 0.242092i
\(698\) 0.450217 0.200449i 0.0170410 0.00758712i
\(699\) 6.42624 7.13706i 0.243063 0.269948i
\(700\) −2.50144 + 23.7996i −0.0945455 + 0.899540i
\(701\) 12.2153 8.87497i 0.461367 0.335203i −0.332700 0.943033i \(-0.607960\pi\)
0.794067 + 0.607830i \(0.207960\pi\)
\(702\) −8.29869 + 7.86670i −0.313214 + 0.296909i
\(703\) 5.40621 3.92784i 0.203899 0.148141i
\(704\) 0.362093 0.402145i 0.0136469 0.0151564i
\(705\) −7.77604 + 8.63616i −0.292862 + 0.325257i
\(706\) 1.39484 + 1.54913i 0.0524955 + 0.0583022i
\(707\) −43.0316 −1.61837
\(708\) −5.40004 + 9.35315i −0.202946 + 0.351513i
\(709\) −19.2469 21.3758i −0.722832 0.802786i 0.264002 0.964522i \(-0.414957\pi\)
−0.986834 + 0.161736i \(0.948291\pi\)
\(710\) 7.17334 + 5.21174i 0.269211 + 0.195593i
\(711\) −3.72608 35.4513i −0.139739 1.32953i
\(712\) −10.6827 18.5029i −0.400349 0.693426i
\(713\) −2.01577 + 10.4683i −0.0754914 + 0.392041i
\(714\) −6.23639 −0.233391
\(715\) −3.69826 + 0.484866i −0.138307 + 0.0181330i
\(716\) −2.34881 1.70651i −0.0877793 0.0637754i
\(717\) −12.9485 + 2.75228i −0.483570 + 0.102786i
\(718\) 3.79527 + 6.57360i 0.141638 + 0.245325i
\(719\) −23.7798 + 41.1878i −0.886836 + 1.53605i −0.0432421 + 0.999065i \(0.513769\pi\)
−0.843594 + 0.536981i \(0.819565\pi\)
\(720\) −0.999541 + 3.07627i −0.0372507 + 0.114646i
\(721\) −12.9529 2.75322i −0.482390 0.102535i
\(722\) 13.2397 + 2.81418i 0.492731 + 0.104733i
\(723\) −3.70283 + 2.69027i −0.137710 + 0.100052i
\(724\) −12.8722 14.2960i −0.478392 0.531308i
\(725\) 12.5764 + 5.59936i 0.467075 + 0.207955i
\(726\) 0.639795 6.08724i 0.0237450 0.225919i
\(727\) 10.6349 + 32.7309i 0.394427 + 1.21392i 0.929407 + 0.369057i \(0.120319\pi\)
−0.534979 + 0.844865i \(0.679681\pi\)
\(728\) −17.7463 + 25.7913i −0.657720 + 0.955889i
\(729\) −8.45828 6.14530i −0.313269 0.227604i
\(730\) −3.54477 + 3.93687i −0.131198 + 0.145710i
\(731\) −2.27579 + 21.6527i −0.0841732 + 0.800854i
\(732\) 0.795092 + 7.56479i 0.0293874 + 0.279603i
\(733\) −2.53573 + 7.80417i −0.0936593 + 0.288254i −0.986902 0.161321i \(-0.948424\pi\)
0.893243 + 0.449575i \(0.148424\pi\)
\(734\) 1.38891 + 13.2146i 0.0512658 + 0.487761i
\(735\) 6.08462 + 1.29333i 0.224435 + 0.0477051i
\(736\) 3.38909 + 10.4305i 0.124923 + 0.384475i
\(737\) −11.2608 12.5063i −0.414795 0.460677i
\(738\) −2.75917 4.77903i −0.101567 0.175918i
\(739\) −9.15392 15.8550i −0.336732 0.583237i 0.647084 0.762419i \(-0.275988\pi\)
−0.983816 + 0.179182i \(0.942655\pi\)
\(740\) 0.491881 1.51385i 0.0180819 0.0556504i
\(741\) −21.6019 1.71178i −0.793567 0.0628836i
\(742\) 26.2533 19.0742i 0.963790 0.700235i
\(743\) 22.6259 + 39.1891i 0.830062 + 1.43771i 0.897988 + 0.440019i \(0.145028\pi\)
−0.0679261 + 0.997690i \(0.521638\pi\)
\(744\) 9.04986 8.46887i 0.331784 0.310484i
\(745\) −8.19832 + 14.1999i −0.300363 + 0.520244i
\(746\) 9.51762 6.91496i 0.348465 0.253175i
\(747\) 5.88126 2.61850i 0.215184 0.0958061i
\(748\) 3.07124 + 3.41096i 0.112296 + 0.124717i
\(749\) −44.1695 −1.61392
\(750\) 2.70177 4.67959i 0.0986545 0.170875i
\(751\) 52.2634 11.1089i 1.90712 0.405371i 0.907237 0.420621i \(-0.138188\pi\)
0.999884 + 0.0152499i \(0.00485437\pi\)
\(752\) 13.8554 15.3880i 0.505256 0.561144i
\(753\) 2.30535 + 7.09515i 0.0840118 + 0.258562i
\(754\) 4.82371 + 6.29338i 0.175669 + 0.229191i
\(755\) −0.555091 + 1.70839i −0.0202018 + 0.0621748i