Properties

Label 576.2.bm.a.205.72
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.72
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.72

$q$-expansion

\(f(q)\) \(=\) \(q+(1.06334 + 0.932362i) q^{2} +(1.71119 - 0.267987i) q^{3} +(0.261403 + 1.98284i) q^{4} +(1.65695 + 1.88938i) q^{5} +(2.06945 + 1.31049i) q^{6} +(-3.29025 - 0.433169i) q^{7} +(-1.57077 + 2.35217i) q^{8} +(2.85637 - 0.917154i) q^{9} +O(q^{10})\) \(q+(1.06334 + 0.932362i) q^{2} +(1.71119 - 0.267987i) q^{3} +(0.261403 + 1.98284i) q^{4} +(1.65695 + 1.88938i) q^{5} +(2.06945 + 1.31049i) q^{6} +(-3.29025 - 0.433169i) q^{7} +(-1.57077 + 2.35217i) q^{8} +(2.85637 - 0.917154i) q^{9} +(0.000313823 + 3.55394i) q^{10} +(-0.868018 - 1.76017i) q^{11} +(0.978686 + 3.32298i) q^{12} +(0.548806 + 1.61673i) q^{13} +(-3.09480 - 3.52831i) q^{14} +(3.34168 + 2.78906i) q^{15} +(-3.86334 + 1.03664i) q^{16} +(3.70935 + 3.70935i) q^{17} +(3.89242 + 1.68792i) q^{18} +(0.117665 - 0.591543i) q^{19} +(-3.31322 + 3.77935i) q^{20} +(-5.74633 + 0.140506i) q^{21} +(0.718110 - 2.68097i) q^{22} +(-0.821015 - 6.23623i) q^{23} +(-2.05754 + 4.44596i) q^{24} +(-0.171673 + 1.30399i) q^{25} +(-0.923807 + 2.23083i) q^{26} +(4.64201 - 2.33490i) q^{27} +(-0.00117218 - 6.63728i) q^{28} +(4.63375 - 0.303712i) q^{29} +(0.952945 + 6.08139i) q^{30} +(-3.91038 + 2.25766i) q^{31} +(-5.07458 - 2.49972i) q^{32} +(-1.95705 - 2.77937i) q^{33} +(0.485860 + 7.40278i) q^{34} +(-4.63334 - 6.93428i) q^{35} +(2.56523 + 5.42398i) q^{36} +(-0.460520 - 2.31519i) q^{37} +(0.676651 - 0.519308i) q^{38} +(1.37237 + 2.61946i) q^{39} +(-7.04682 + 0.929631i) q^{40} +(-1.51824 - 11.5321i) q^{41} +(-6.24133 - 5.20826i) q^{42} +(7.41084 - 3.65462i) q^{43} +(3.26323 - 2.18126i) q^{44} +(6.46570 + 3.87710i) q^{45} +(4.94140 - 7.39674i) q^{46} +(-10.2078 + 2.73518i) q^{47} +(-6.33311 + 2.80922i) q^{48} +(3.87661 + 1.03874i) q^{49} +(-1.39833 + 1.22652i) q^{50} +(7.34148 + 5.35336i) q^{51} +(-3.06226 + 1.51081i) q^{52} +(-0.414263 + 0.619989i) q^{53} +(7.11302 + 1.84524i) q^{54} +(1.88737 - 4.55652i) q^{55} +(6.18710 - 7.05880i) q^{56} +(0.0428224 - 1.04378i) q^{57} +(5.21044 + 3.99738i) q^{58} +(6.23145 + 7.10561i) q^{59} +(-4.65675 + 7.35510i) q^{60} +(-0.262196 - 4.00033i) q^{61} +(-6.26304 - 1.24522i) q^{62} +(-9.79543 + 1.78037i) q^{63} +(-3.06538 - 7.38941i) q^{64} +(-2.14528 + 3.71574i) q^{65} +(0.510361 - 4.78010i) q^{66} +(5.96633 + 2.94227i) q^{67} +(-6.38543 + 8.32470i) q^{68} +(-3.07614 - 10.4514i) q^{69} +(1.53842 - 11.6935i) q^{70} +(2.04748 + 4.94304i) q^{71} +(-2.32939 + 8.15929i) q^{72} +(-1.42266 + 3.43460i) q^{73} +(1.66890 - 2.89122i) q^{74} +(0.0556851 + 2.27738i) q^{75} +(1.20370 + 0.0786809i) q^{76} +(2.09354 + 6.16738i) q^{77} +(-0.982982 + 4.06494i) q^{78} +(-0.617690 - 2.30525i) q^{79} +(-8.35995 - 5.58167i) q^{80} +(7.31766 - 5.23946i) q^{81} +(9.13773 - 13.6782i) q^{82} +(-8.48631 - 7.44229i) q^{83} +(-1.78071 - 11.3574i) q^{84} +(-0.862197 + 13.1546i) q^{85} +(11.2877 + 3.02347i) q^{86} +(7.84785 - 1.76149i) q^{87} +(5.50366 + 0.723087i) q^{88} +(-8.63296 + 3.57589i) q^{89} +(3.26040 + 10.1511i) q^{90} +(-1.10539 - 5.55716i) q^{91} +(12.1509 - 3.25811i) q^{92} +(-6.08639 + 4.91122i) q^{93} +(-13.4046 - 6.60896i) q^{94} +(1.31262 - 0.757840i) q^{95} +(-9.35348 - 2.91759i) q^{96} +(4.92752 + 2.84491i) q^{97} +(3.15370 + 4.71894i) q^{98} +(-4.09372 - 4.23157i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.06334 + 0.932362i 0.751898 + 0.659279i
\(3\) 1.71119 0.267987i 0.987958 0.154722i
\(4\) 0.261403 + 1.98284i 0.130701 + 0.991422i
\(5\) 1.65695 + 1.88938i 0.741008 + 0.844958i 0.992416 0.122923i \(-0.0392269\pi\)
−0.251408 + 0.967881i \(0.580894\pi\)
\(6\) 2.06945 + 1.31049i 0.844849 + 0.535005i
\(7\) −3.29025 0.433169i −1.24360 0.163723i −0.520133 0.854085i \(-0.674118\pi\)
−0.723464 + 0.690363i \(0.757451\pi\)
\(8\) −1.57077 + 2.35217i −0.555350 + 0.831617i
\(9\) 2.85637 0.917154i 0.952122 0.305718i
\(10\) 0.000313823 3.55394i 9.92394e−5 1.12385i
\(11\) −0.868018 1.76017i −0.261717 0.530710i 0.725860 0.687842i \(-0.241442\pi\)
−0.987578 + 0.157132i \(0.949775\pi\)
\(12\) 0.978686 + 3.32298i 0.282522 + 0.959261i
\(13\) 0.548806 + 1.61673i 0.152211 + 0.448400i 0.996112 0.0881000i \(-0.0280795\pi\)
−0.843900 + 0.536500i \(0.819746\pi\)
\(14\) −3.09480 3.52831i −0.827119 0.942980i
\(15\) 3.34168 + 2.78906i 0.862819 + 0.720133i
\(16\) −3.86334 + 1.03664i −0.965834 + 0.259160i
\(17\) 3.70935 + 3.70935i 0.899650 + 0.899650i 0.995405 0.0957546i \(-0.0305264\pi\)
−0.0957546 + 0.995405i \(0.530526\pi\)
\(18\) 3.89242 + 1.68792i 0.917452 + 0.397846i
\(19\) 0.117665 0.591543i 0.0269943 0.135709i −0.964938 0.262478i \(-0.915460\pi\)
0.991932 + 0.126768i \(0.0404604\pi\)
\(20\) −3.31322 + 3.77935i −0.740859 + 0.845089i
\(21\) −5.74633 + 0.140506i −1.25395 + 0.0306609i
\(22\) 0.718110 2.68097i 0.153102 0.571585i
\(23\) −0.821015 6.23623i −0.171194 1.30034i −0.834088 0.551631i \(-0.814006\pi\)
0.662895 0.748713i \(-0.269328\pi\)
\(24\) −2.05754 + 4.44596i −0.419993 + 0.907527i
\(25\) −0.171673 + 1.30399i −0.0343346 + 0.260797i
\(26\) −0.923807 + 2.23083i −0.181174 + 0.437501i
\(27\) 4.64201 2.33490i 0.893355 0.449351i
\(28\) −0.00117218 6.63728i −0.000221521 1.25433i
\(29\) 4.63375 0.303712i 0.860466 0.0563979i 0.371221 0.928544i \(-0.378939\pi\)
0.489245 + 0.872147i \(0.337272\pi\)
\(30\) 0.952945 + 6.08139i 0.173983 + 1.11031i
\(31\) −3.91038 + 2.25766i −0.702325 + 0.405487i −0.808213 0.588891i \(-0.799565\pi\)
0.105888 + 0.994378i \(0.466232\pi\)
\(32\) −5.07458 2.49972i −0.897068 0.441893i
\(33\) −1.95705 2.77937i −0.340678 0.483826i
\(34\) 0.485860 + 7.40278i 0.0833244 + 1.26957i
\(35\) −4.63334 6.93428i −0.783177 1.17211i
\(36\) 2.56523 + 5.42398i 0.427539 + 0.903997i
\(37\) −0.460520 2.31519i −0.0757090 0.380615i 0.924290 0.381690i \(-0.124658\pi\)
−0.999999 + 0.00107508i \(0.999658\pi\)
\(38\) 0.676651 0.519308i 0.109767 0.0842428i
\(39\) 1.37237 + 2.61946i 0.219756 + 0.419450i
\(40\) −7.04682 + 0.929631i −1.11420 + 0.146988i
\(41\) −1.51824 11.5321i −0.237109 1.80102i −0.533338 0.845902i \(-0.679063\pi\)
0.296229 0.955117i \(-0.404271\pi\)
\(42\) −6.24133 5.20826i −0.963059 0.803651i
\(43\) 7.41084 3.65462i 1.13014 0.557325i 0.221609 0.975136i \(-0.428869\pi\)
0.908534 + 0.417811i \(0.137202\pi\)
\(44\) 3.26323 2.18126i 0.491951 0.328837i
\(45\) 6.46570 + 3.87710i 0.963849 + 0.577964i
\(46\) 4.94140 7.39674i 0.728570 1.09059i
\(47\) −10.2078 + 2.73518i −1.48897 + 0.398967i −0.909388 0.415949i \(-0.863450\pi\)
−0.579579 + 0.814916i \(0.696783\pi\)
\(48\) −6.33311 + 2.80922i −0.914106 + 0.405475i
\(49\) 3.87661 + 1.03874i 0.553802 + 0.148391i
\(50\) −1.39833 + 1.22652i −0.197754 + 0.173457i
\(51\) 7.34148 + 5.35336i 1.02801 + 0.749621i
\(52\) −3.06226 + 1.51081i −0.424659 + 0.209512i
\(53\) −0.414263 + 0.619989i −0.0569034 + 0.0851620i −0.858830 0.512260i \(-0.828808\pi\)
0.801927 + 0.597422i \(0.203808\pi\)
\(54\) 7.11302 + 1.84524i 0.967960 + 0.251105i
\(55\) 1.88737 4.55652i 0.254493 0.614401i
\(56\) 6.18710 7.05880i 0.826786 0.943272i
\(57\) 0.0428224 1.04378i 0.00567196 0.138252i
\(58\) 5.21044 + 3.99738i 0.684165 + 0.524882i
\(59\) 6.23145 + 7.10561i 0.811266 + 0.925071i 0.998359 0.0572712i \(-0.0182400\pi\)
−0.187093 + 0.982342i \(0.559907\pi\)
\(60\) −4.65675 + 7.35510i −0.601184 + 0.949540i
\(61\) −0.262196 4.00033i −0.0335707 0.512190i −0.981222 0.192883i \(-0.938216\pi\)
0.947651 0.319308i \(-0.103450\pi\)
\(62\) −6.26304 1.24522i −0.795406 0.158143i
\(63\) −9.79543 + 1.78037i −1.23411 + 0.224306i
\(64\) −3.06538 7.38941i −0.383173 0.923677i
\(65\) −2.14528 + 3.71574i −0.266089 + 0.460880i
\(66\) 0.510361 4.78010i 0.0628211 0.588390i
\(67\) 5.96633 + 2.94227i 0.728903 + 0.359455i 0.768577 0.639758i \(-0.220965\pi\)
−0.0396739 + 0.999213i \(0.512632\pi\)
\(68\) −6.38543 + 8.32470i −0.774347 + 1.00952i
\(69\) −3.07614 10.4514i −0.370324 1.25820i
\(70\) 1.53842 11.6935i 0.183877 1.39764i
\(71\) 2.04748 + 4.94304i 0.242991 + 0.586631i 0.997577 0.0695693i \(-0.0221625\pi\)
−0.754586 + 0.656201i \(0.772163\pi\)
\(72\) −2.32939 + 8.15929i −0.274521 + 0.961581i
\(73\) −1.42266 + 3.43460i −0.166509 + 0.401989i −0.985005 0.172523i \(-0.944808\pi\)
0.818496 + 0.574512i \(0.194808\pi\)
\(74\) 1.66890 2.89122i 0.194006 0.336097i
\(75\) 0.0556851 + 2.27738i 0.00642996 + 0.262969i
\(76\) 1.20370 + 0.0786809i 0.138073 + 0.00902532i
\(77\) 2.09354 + 6.16738i 0.238581 + 0.702838i
\(78\) −0.982982 + 4.06494i −0.111301 + 0.460264i
\(79\) −0.617690 2.30525i −0.0694956 0.259361i 0.922433 0.386156i \(-0.126198\pi\)
−0.991929 + 0.126795i \(0.959531\pi\)
\(80\) −8.35995 5.58167i −0.934671 0.624050i
\(81\) 7.31766 5.23946i 0.813073 0.582162i
\(82\) 9.13773 13.6782i 1.00909 1.51050i
\(83\) −8.48631 7.44229i −0.931493 0.816898i 0.0518501 0.998655i \(-0.483488\pi\)
−0.983343 + 0.181757i \(0.941822\pi\)
\(84\) −1.78071 11.3574i −0.194291 1.23919i
\(85\) −0.862197 + 13.1546i −0.0935184 + 1.42682i
\(86\) 11.2877 + 3.02347i 1.21719 + 0.326029i
\(87\) 7.84785 1.76149i 0.841378 0.188852i
\(88\) 5.50366 + 0.723087i 0.586692 + 0.0770814i
\(89\) −8.63296 + 3.57589i −0.915092 + 0.379044i −0.790004 0.613102i \(-0.789921\pi\)
−0.125088 + 0.992146i \(0.539921\pi\)
\(90\) 3.26040 + 10.1511i 0.343677 + 1.07002i
\(91\) −1.10539 5.55716i −0.115876 0.582549i
\(92\) 12.1509 3.25811i 1.26681 0.339682i
\(93\) −6.08639 + 4.91122i −0.631130 + 0.509270i
\(94\) −13.4046 6.60896i −1.38258 0.681662i
\(95\) 1.31262 0.757840i 0.134672 0.0777527i
\(96\) −9.35348 2.91759i −0.954636 0.297775i
\(97\) 4.92752 + 2.84491i 0.500314 + 0.288857i 0.728843 0.684681i \(-0.240058\pi\)
−0.228529 + 0.973537i \(0.573392\pi\)
\(98\) 3.15370 + 4.71894i 0.318571 + 0.476685i
\(99\) −4.09372 4.23157i −0.411434 0.425289i
\(100\) −2.63048 0.000464557i −0.263048 4.64557e-5i
\(101\) −6.51904 2.21291i −0.648668 0.220193i −0.0223374 0.999750i \(-0.507111\pi\)
−0.626331 + 0.779557i \(0.715444\pi\)
\(102\) 2.81525 + 12.5374i 0.278751 + 1.24139i
\(103\) 12.1533 + 9.32554i 1.19750 + 0.918872i 0.998135 0.0610533i \(-0.0194460\pi\)
0.199363 + 0.979926i \(0.436113\pi\)
\(104\) −4.66486 1.24862i −0.457427 0.122437i
\(105\) −9.78683 10.6242i −0.955097 1.03682i
\(106\) −1.01856 + 0.273018i −0.0989311 + 0.0265179i
\(107\) −10.3593 6.92187i −1.00147 0.669162i −0.0572118 0.998362i \(-0.518221\pi\)
−0.944260 + 0.329200i \(0.893221\pi\)
\(108\) 5.84317 + 8.59403i 0.562259 + 0.826961i
\(109\) −1.35695 + 6.82185i −0.129972 + 0.653415i 0.859785 + 0.510656i \(0.170597\pi\)
−0.989757 + 0.142759i \(0.954403\pi\)
\(110\) 6.25525 3.08543i 0.596415 0.294185i
\(111\) −1.40848 3.83832i −0.133687 0.364318i
\(112\) 13.1604 1.73733i 1.24354 0.164162i
\(113\) −16.3231 4.37376i −1.53555 0.411449i −0.610724 0.791843i \(-0.709122\pi\)
−0.924824 + 0.380394i \(0.875788\pi\)
\(114\) 1.01871 1.06997i 0.0954113 0.100212i
\(115\) 10.4223 11.8843i 0.971880 1.10822i
\(116\) 1.81349 + 9.10861i 0.168378 + 0.845714i
\(117\) 3.05038 + 4.11463i 0.282008 + 0.380398i
\(118\) 0.00118023 + 13.3657i 0.000108649 + 1.23041i
\(119\) −10.5979 13.8115i −0.971509 1.26610i
\(120\) −11.8093 + 3.47923i −1.07804 + 0.317609i
\(121\) 4.35165 5.67118i 0.395604 0.515561i
\(122\) 3.45095 4.49819i 0.312435 0.407247i
\(123\) −5.68846 19.3269i −0.512911 1.74265i
\(124\) −5.49877 7.16351i −0.493804 0.643302i
\(125\) 7.69929 5.14450i 0.688646 0.460138i
\(126\) −12.0759 7.23974i −1.07580 0.644967i
\(127\) −5.45465 −0.484022 −0.242011 0.970273i \(-0.577807\pi\)
−0.242011 + 0.970273i \(0.577807\pi\)
\(128\) 3.63005 10.7155i 0.320854 0.947129i
\(129\) 11.7020 8.23978i 1.03030 0.725472i
\(130\) −5.74558 + 1.95093i −0.503921 + 0.171108i
\(131\) −15.4607 7.62437i −1.35081 0.666144i −0.384401 0.923166i \(-0.625592\pi\)
−0.966406 + 0.257022i \(0.917259\pi\)
\(132\) 4.99947 4.60705i 0.435148 0.400993i
\(133\) −0.643386 + 1.89536i −0.0557887 + 0.164348i
\(134\) 3.60100 + 8.69142i 0.311079 + 0.750824i
\(135\) 12.1031 + 4.90174i 1.04167 + 0.421875i
\(136\) −14.5515 + 2.89849i −1.24779 + 0.248544i
\(137\) 11.8550 + 15.4498i 1.01284 + 1.31996i 0.946687 + 0.322154i \(0.104407\pi\)
0.0661565 + 0.997809i \(0.478926\pi\)
\(138\) 6.47347 13.9815i 0.551058 1.19018i
\(139\) −6.64608 0.435607i −0.563713 0.0369477i −0.219117 0.975699i \(-0.570318\pi\)
−0.344596 + 0.938751i \(0.611984\pi\)
\(140\) 12.5384 10.9998i 1.05969 0.929654i
\(141\) −16.7346 + 7.41599i −1.40931 + 0.624539i
\(142\) −2.43153 + 7.16515i −0.204050 + 0.601286i
\(143\) 2.36934 2.36934i 0.198134 0.198134i
\(144\) −10.0843 + 6.50430i −0.840362 + 0.542025i
\(145\) 8.25170 + 8.25170i 0.685266 + 0.685266i
\(146\) −4.71506 + 2.32573i −0.390221 + 0.192479i
\(147\) 6.91200 + 0.738596i 0.570092 + 0.0609184i
\(148\) 4.47028 1.51834i 0.367455 0.124806i
\(149\) −0.223709 + 3.41315i −0.0183270 + 0.279616i 0.978853 + 0.204566i \(0.0655783\pi\)
−0.997180 + 0.0750499i \(0.976088\pi\)
\(150\) −2.06413 + 2.47356i −0.168535 + 0.201965i
\(151\) 7.08931 5.43982i 0.576920 0.442686i −0.278636 0.960397i \(-0.589882\pi\)
0.855556 + 0.517711i \(0.173216\pi\)
\(152\) 1.20658 + 1.20595i 0.0978669 + 0.0978151i
\(153\) 13.9973 + 7.19322i 1.13162 + 0.581538i
\(154\) −3.52407 + 8.50999i −0.283978 + 0.685755i
\(155\) −10.7449 3.64739i −0.863049 0.292966i
\(156\) −4.83524 + 3.40594i −0.387129 + 0.272693i
\(157\) −1.98325 + 4.02164i −0.158281 + 0.320962i −0.961539 0.274670i \(-0.911432\pi\)
0.803258 + 0.595632i \(0.203098\pi\)
\(158\) 1.49251 3.02719i 0.118738 0.240830i
\(159\) −0.542736 + 1.17194i −0.0430418 + 0.0929407i
\(160\) −3.68537 13.7297i −0.291354 1.08543i
\(161\) 20.8744i 1.64513i
\(162\) 12.6663 + 1.25136i 0.995155 + 0.0983160i
\(163\) 9.45330 + 14.1479i 0.740439 + 1.10815i 0.990175 + 0.139832i \(0.0446562\pi\)
−0.249736 + 0.968314i \(0.580344\pi\)
\(164\) 22.4696 6.02496i 1.75458 0.470470i
\(165\) 2.00857 8.30287i 0.156367 0.646378i
\(166\) −2.08496 15.8260i −0.161824 1.22834i
\(167\) 16.0053 + 12.2813i 1.23853 + 0.950357i 0.999785 0.0207250i \(-0.00659744\pi\)
0.238745 + 0.971082i \(0.423264\pi\)
\(168\) 8.69566 13.7370i 0.670884 1.05984i
\(169\) 8.00097 6.13936i 0.615459 0.472258i
\(170\) −13.1816 + 13.1840i −1.01099 + 1.01116i
\(171\) −0.206441 1.79758i −0.0157870 0.137465i
\(172\) 9.18376 + 13.7392i 0.700255 + 1.04761i
\(173\) −8.50098 7.45516i −0.646318 0.566805i 0.272173 0.962248i \(-0.412258\pi\)
−0.918490 + 0.395443i \(0.870591\pi\)
\(174\) 9.98732 + 5.44397i 0.757137 + 0.412706i
\(175\) 1.12969 4.21607i 0.0853968 0.318705i
\(176\) 5.17811 + 5.90029i 0.390314 + 0.444751i
\(177\) 12.5674 + 10.4891i 0.944625 + 0.788411i
\(178\) −12.5138 4.24664i −0.937952 0.318299i
\(179\) −3.64282 0.724602i −0.272277 0.0541593i 0.0570632 0.998371i \(-0.481826\pi\)
−0.329340 + 0.944211i \(0.606826\pi\)
\(180\) −5.99753 + 13.8340i −0.447029 + 1.03112i
\(181\) −13.3900 + 20.0396i −0.995272 + 1.48953i −0.127951 + 0.991780i \(0.540840\pi\)
−0.867321 + 0.497750i \(0.834160\pi\)
\(182\) 4.00588 6.93980i 0.296936 0.514412i
\(183\) −1.52070 6.77508i −0.112414 0.500828i
\(184\) 15.9583 + 7.86450i 1.17646 + 0.579779i
\(185\) 3.61123 4.70624i 0.265503 0.346010i
\(186\) −11.0510 0.452403i −0.810296 0.0331718i
\(187\) 3.30929 9.74886i 0.241999 0.712908i
\(188\) −8.09180 19.5256i −0.590155 1.42405i
\(189\) −16.2848 + 5.67161i −1.18454 + 0.412549i
\(190\) 2.10235 + 0.417990i 0.152520 + 0.0303241i
\(191\) 2.47380 4.28475i 0.178998 0.310034i −0.762539 0.646942i \(-0.776048\pi\)
0.941538 + 0.336908i \(0.109381\pi\)
\(192\) −7.22573 11.8232i −0.521472 0.853268i
\(193\) −2.01028 3.48191i −0.144703 0.250634i 0.784559 0.620054i \(-0.212889\pi\)
−0.929262 + 0.369421i \(0.879556\pi\)
\(194\) 2.58717 + 7.61935i 0.185748 + 0.547038i
\(195\) −2.67522 + 6.93325i −0.191577 + 0.496500i
\(196\) −1.04629 + 7.95824i −0.0747352 + 0.568446i
\(197\) 9.23919 1.83779i 0.658265 0.130937i 0.145355 0.989380i \(-0.453568\pi\)
0.512910 + 0.858443i \(0.328568\pi\)
\(198\) −0.407677 8.31645i −0.0289724 0.591024i
\(199\) −9.31722 22.4938i −0.660480 1.59454i −0.797052 0.603910i \(-0.793609\pi\)
0.136572 0.990630i \(-0.456391\pi\)
\(200\) −2.79753 2.45206i −0.197816 0.173387i
\(201\) 10.9980 + 3.43589i 0.775741 + 0.242349i
\(202\) −4.86874 8.43119i −0.342564 0.593217i
\(203\) −15.3777 1.00791i −1.07931 0.0707415i
\(204\) −8.69580 + 15.9564i −0.608828 + 1.11717i
\(205\) 19.2730 21.9767i 1.34609 1.53492i
\(206\) 4.22834 + 21.2475i 0.294603 + 1.48038i
\(207\) −8.06471 17.0600i −0.560536 1.18575i
\(208\) −3.79619 5.67706i −0.263218 0.393633i
\(209\) −1.14335 + 0.306360i −0.0790872 + 0.0211913i
\(210\) −0.501153 20.4221i −0.0345828 1.40926i
\(211\) 15.4988 5.26115i 1.06698 0.362192i 0.267922 0.963441i \(-0.413663\pi\)
0.799062 + 0.601248i \(0.205330\pi\)
\(212\) −1.33763 0.659353i −0.0918688 0.0452845i
\(213\) 4.82830 + 7.90981i 0.330829 + 0.541971i
\(214\) −4.56183 17.0190i −0.311840 1.16339i
\(215\) 19.1843 + 7.94642i 1.30836 + 0.541941i
\(216\) −1.79945 + 14.5864i −0.122437 + 0.992476i
\(217\) 13.8441 5.73440i 0.939796 0.389276i
\(218\) −7.80334 + 5.98881i −0.528509 + 0.405613i
\(219\) −1.51401 + 6.25851i −0.102308 + 0.422911i
\(220\) 9.52823 + 2.55128i 0.642393 + 0.172007i
\(221\) −3.96131 + 8.03273i −0.266466 + 0.540340i
\(222\) 2.08101 5.39467i 0.139668 0.362067i
\(223\) 6.50603 + 3.75626i 0.435676 + 0.251538i 0.701762 0.712412i \(-0.252397\pi\)
−0.266086 + 0.963949i \(0.585730\pi\)
\(224\) 15.6138 + 10.4229i 1.04324 + 0.696407i
\(225\) 0.705595 + 3.88211i 0.0470396 + 0.258807i
\(226\) −13.2792 19.8699i −0.883316 1.32172i
\(227\) −21.8279 + 1.43067i −1.44877 + 0.0949571i −0.769364 0.638810i \(-0.779427\pi\)
−0.679401 + 0.733767i \(0.737760\pi\)
\(228\) 2.08084 0.187936i 0.137807 0.0124464i
\(229\) −17.7880 + 15.5996i −1.17546 + 1.03085i −0.176547 + 0.984292i \(0.556493\pi\)
−0.998915 + 0.0465604i \(0.985174\pi\)
\(230\) 22.1629 2.91979i 1.46138 0.192526i
\(231\) 5.23523 + 9.99254i 0.344453 + 0.657461i
\(232\) −6.56416 + 11.3764i −0.430958 + 0.746899i
\(233\) −19.7305 8.17265i −1.29259 0.535408i −0.372833 0.927898i \(-0.621614\pi\)
−0.919756 + 0.392490i \(0.871614\pi\)
\(234\) −0.592722 + 7.21933i −0.0387474 + 0.471942i
\(235\) −22.0816 14.7545i −1.44045 0.962476i
\(236\) −12.4604 + 14.2134i −0.811102 + 0.925214i
\(237\) −1.67476 3.77920i −0.108788 0.245485i
\(238\) 1.60806 24.5674i 0.104235 1.59247i
\(239\) −6.33042 + 23.6255i −0.409481 + 1.52820i 0.386158 + 0.922433i \(0.373802\pi\)
−0.795639 + 0.605771i \(0.792865\pi\)
\(240\) −15.8013 7.31096i −1.01997 0.471921i
\(241\) 3.08979 + 11.5313i 0.199031 + 0.742793i 0.991186 + 0.132474i \(0.0422921\pi\)
−0.792156 + 0.610319i \(0.791041\pi\)
\(242\) 9.91489 1.97310i 0.637353 0.126836i
\(243\) 11.1178 10.9268i 0.713209 0.700952i
\(244\) 7.86349 1.56559i 0.503409 0.100227i
\(245\) 4.46076 + 9.04553i 0.284988 + 0.577898i
\(246\) 11.9708 25.8548i 0.763233 1.64844i
\(247\) 1.02094 0.134409i 0.0649609 0.00855227i
\(248\) 0.831903 12.7441i 0.0528259 0.809253i
\(249\) −16.5162 10.4610i −1.04667 0.662938i
\(250\) 12.9835 + 1.70815i 0.821151 + 0.108033i
\(251\) 10.2949 2.04778i 0.649808 0.129255i 0.140829 0.990034i \(-0.455023\pi\)
0.508979 + 0.860779i \(0.330023\pi\)
\(252\) −6.09075 18.9574i −0.383681 1.19421i
\(253\) −10.2641 + 6.85828i −0.645301 + 0.431177i
\(254\) −5.80017 5.08571i −0.363935 0.319106i
\(255\) 2.04987 + 22.7411i 0.128368 + 1.42410i
\(256\) 13.8508 8.00979i 0.865672 0.500612i
\(257\) 14.3319 + 24.8236i 0.894001 + 1.54845i 0.835036 + 0.550195i \(0.185447\pi\)
0.0589646 + 0.998260i \(0.481220\pi\)
\(258\) 20.1257 + 2.14878i 1.25297 + 0.133777i
\(259\) 0.512355 + 7.81703i 0.0318362 + 0.485727i
\(260\) −7.92850 3.28245i −0.491705 0.203569i
\(261\) 12.9571 5.11738i 0.802027 0.316758i
\(262\) −9.33137 22.5223i −0.576494 1.39143i
\(263\) −20.3251 2.67585i −1.25330 0.165000i −0.525501 0.850793i \(-0.676122\pi\)
−0.727797 + 0.685793i \(0.759456\pi\)
\(264\) 9.61160 0.237565i 0.591553 0.0146211i
\(265\) −1.85781 + 0.244585i −0.114124 + 0.0150247i
\(266\) −2.45130 + 1.41555i −0.150299 + 0.0867927i
\(267\) −13.8144 + 8.43256i −0.845426 + 0.516064i
\(268\) −4.27444 + 12.5994i −0.261103 + 0.769632i
\(269\) −20.9132 4.15989i −1.27510 0.253633i −0.489301 0.872115i \(-0.662748\pi\)
−0.785799 + 0.618482i \(0.787748\pi\)
\(270\) 8.29953 + 16.4967i 0.505093 + 1.00396i
\(271\) −14.6171 + 14.6171i −0.887926 + 0.887926i −0.994324 0.106398i \(-0.966068\pi\)
0.106398 + 0.994324i \(0.466068\pi\)
\(272\) −18.1758 10.4852i −1.10207 0.635760i
\(273\) −3.38078 9.21315i −0.204614 0.557605i
\(274\) −1.79880 + 27.4816i −0.108670 + 1.66023i
\(275\) 2.44425 0.829710i 0.147394 0.0500334i
\(276\) 19.9193 8.83153i 1.19900 0.531595i
\(277\) −5.59662 + 2.75995i −0.336269 + 0.165829i −0.602582 0.798057i \(-0.705861\pi\)
0.266313 + 0.963887i \(0.414195\pi\)
\(278\) −6.66092 6.65975i −0.399496 0.399425i
\(279\) −9.09886 + 10.0351i −0.544734 + 0.600787i
\(280\) 23.5885 0.00624878i 1.40968 0.000373436i
\(281\) 1.42365 10.8137i 0.0849277 0.645090i −0.895048 0.445971i \(-0.852859\pi\)
0.979975 0.199119i \(-0.0638081\pi\)
\(282\) −24.7090 7.71695i −1.47140 0.459538i
\(283\) −19.7743 + 17.3416i −1.17546 + 1.03085i −0.176542 + 0.984293i \(0.556491\pi\)
−0.998916 + 0.0465561i \(0.985175\pi\)
\(284\) −9.26607 + 5.35195i −0.549840 + 0.317580i
\(285\) 2.04305 1.64857i 0.121020 0.0976531i
\(286\) 4.72850 0.310342i 0.279602 0.0183509i
\(287\) 38.6013i 2.27856i
\(288\) −16.7875 2.48595i −0.989213 0.146486i
\(289\) 10.5186i 0.618741i
\(290\) 1.08083 + 16.4680i 0.0634684 + 0.967033i
\(291\) 9.19434 + 3.54768i 0.538982 + 0.207968i
\(292\) −7.18215 1.92309i −0.420304 0.112540i
\(293\) 15.0434 13.1927i 0.878842 0.770724i −0.0955862 0.995421i \(-0.530473\pi\)
0.974429 + 0.224697i \(0.0721392\pi\)
\(294\) 6.66120 + 7.22987i 0.388489 + 0.421654i
\(295\) −3.10005 + 23.5472i −0.180492 + 1.37097i
\(296\) 6.16908 + 2.55340i 0.358571 + 0.148414i
\(297\) −8.13915 6.14398i −0.472282 0.356510i
\(298\) −3.42017 + 3.42077i −0.198125 + 0.198160i
\(299\) 9.63172 4.74984i 0.557017 0.274690i
\(300\) −4.50113 + 0.705727i −0.259873 + 0.0407452i
\(301\) −25.9666 + 8.81447i −1.49669 + 0.508057i
\(302\) 12.6103 + 0.825401i 0.725638 + 0.0474965i
\(303\) −11.7484 2.03971i −0.674926 0.117178i
\(304\) 0.158637 + 2.40731i 0.00909847 + 0.138069i
\(305\) 7.12372 7.12372i 0.407903 0.407903i
\(306\) 8.17728 + 20.6994i 0.467464 + 1.18331i
\(307\) 20.9597 + 4.16915i 1.19623 + 0.237946i 0.752732 0.658327i \(-0.228736\pi\)
0.443502 + 0.896273i \(0.353736\pi\)
\(308\) −11.6817 + 5.76334i −0.665626 + 0.328397i
\(309\) 23.2957 + 12.7009i 1.32525 + 0.722528i
\(310\) −8.02481 13.8965i −0.455778 0.789270i
\(311\) 20.8792 2.74880i 1.18395 0.155870i 0.487270 0.873252i \(-0.337993\pi\)
0.696681 + 0.717382i \(0.254660\pi\)
\(312\) −8.31710 0.886513i −0.470863 0.0501889i
\(313\) −28.2590 3.72036i −1.59729 0.210287i −0.721302 0.692620i \(-0.756456\pi\)
−0.875988 + 0.482333i \(0.839790\pi\)
\(314\) −5.85851 + 2.42728i −0.330615 + 0.136979i
\(315\) −19.5943 15.5574i −1.10401 0.876558i
\(316\) 4.40949 1.82738i 0.248053 0.102798i
\(317\) −0.343176 5.23585i −0.0192747 0.294074i −0.996604 0.0823481i \(-0.973758\pi\)
0.977329 0.211726i \(-0.0679086\pi\)
\(318\) −1.66979 + 0.740147i −0.0936369 + 0.0415054i
\(319\) −4.55676 7.89255i −0.255130 0.441898i
\(320\) 8.88227 18.0355i 0.496534 1.00822i
\(321\) −19.5817 9.06850i −1.09295 0.506154i
\(322\) −19.4625 + 22.1967i −1.08460 + 1.23697i
\(323\) 2.63071 1.75778i 0.146376 0.0978056i
\(324\) 12.3019 + 13.1402i 0.683438 + 0.730009i
\(325\) −2.20241 + 0.438086i −0.122168 + 0.0243006i
\(326\) −3.13881 + 23.8579i −0.173843 + 1.32137i
\(327\) −0.493840 + 12.0372i −0.0273094 + 0.665656i
\(328\) 29.5103 + 14.5432i 1.62944 + 0.803012i
\(329\) 34.7711 4.57771i 1.91699 0.252377i
\(330\) 9.87709 6.95610i 0.543716 0.382921i
\(331\) 7.68675 + 15.5872i 0.422502 + 0.856749i 0.999208 + 0.0397970i \(0.0126711\pi\)
−0.576706 + 0.816952i \(0.695662\pi\)
\(332\) 12.5386 18.7725i 0.688143 1.03027i
\(333\) −3.43880 6.19066i −0.188445 0.339246i
\(334\) 5.56854 + 27.9820i 0.304697 + 1.53111i
\(335\) 4.32681 + 16.1479i 0.236399 + 0.882252i
\(336\) 22.0544 6.49971i 1.20316 0.354588i
\(337\) −5.15642 + 19.2440i −0.280888 + 1.04829i 0.670904 + 0.741544i \(0.265906\pi\)
−0.951792 + 0.306744i \(0.900760\pi\)
\(338\) 14.2319 + 0.931545i 0.774113 + 0.0506694i
\(339\) −29.1041 3.10998i −1.58072 0.168911i
\(340\) −26.3089 + 1.72904i −1.42680 + 0.0937704i
\(341\) 7.36813 + 4.92323i 0.399007 + 0.266608i
\(342\) 1.45648 2.10393i 0.0787573 0.113767i
\(343\) 9.15709 + 3.79299i 0.494437 + 0.204802i
\(344\) −3.04442 + 23.1721i −0.164144 + 1.24936i
\(345\) 14.6497 23.1294i 0.788711 1.24524i
\(346\) −2.08856 15.8534i −0.112282 0.852284i
\(347\) 5.70979 5.00735i 0.306517 0.268809i −0.492243 0.870458i \(-0.663823\pi\)
0.798760 + 0.601649i \(0.205490\pi\)
\(348\) 5.54422 + 15.1006i 0.297201 + 0.809478i
\(349\) −16.6682 + 1.09249i −0.892229 + 0.0584798i −0.504617 0.863343i \(-0.668366\pi\)
−0.387611 + 0.921823i \(0.626700\pi\)
\(350\) 5.13216 3.42985i 0.274325 0.183333i
\(351\) 6.32246 + 6.22347i 0.337468 + 0.332184i
\(352\) 0.00490165 + 11.1019i 0.000261259 + 0.591734i
\(353\) 24.8318 + 14.3366i 1.32166 + 0.763061i 0.983994 0.178204i \(-0.0570287\pi\)
0.337667 + 0.941265i \(0.390362\pi\)
\(354\) 3.58384 + 22.8709i 0.190479 + 1.21558i
\(355\) −5.94675 + 12.0588i −0.315621 + 0.640016i
\(356\) −9.34711 16.1831i −0.495396 0.857701i
\(357\) −21.8364 20.7940i −1.15570 1.10053i
\(358\) −3.19798 4.16693i −0.169019 0.220229i
\(359\) −21.7126 + 8.99367i −1.14595 + 0.474668i −0.873173 0.487410i \(-0.837942\pi\)
−0.272776 + 0.962078i \(0.587942\pi\)
\(360\) −19.2757 + 9.11839i −1.01592 + 0.480581i
\(361\) 17.2176 + 7.13178i 0.906191 + 0.375357i
\(362\) −32.9223 + 8.82463i −1.73036 + 0.463812i
\(363\) 5.92671 10.8707i 0.311072 0.570562i
\(364\) 10.7300 3.64447i 0.562407 0.191022i
\(365\) −8.84653 + 3.00299i −0.463049 + 0.157184i
\(366\) 4.69979 8.62209i 0.245662 0.450684i
\(367\) 34.3660 9.20834i 1.79389 0.480672i 0.800893 0.598807i \(-0.204358\pi\)
0.992997 + 0.118136i \(0.0376918\pi\)
\(368\) 9.63659 + 23.2416i 0.502342 + 1.21155i
\(369\) −14.9134 31.5476i −0.776360 1.64230i
\(370\) 8.22790 1.63739i 0.427748 0.0851236i
\(371\) 1.63159 1.86047i 0.0847079 0.0965908i
\(372\) −11.3292 10.7846i −0.587391 0.559153i
\(373\) 6.82846 + 0.447561i 0.353564 + 0.0231738i 0.241151 0.970488i \(-0.422475\pi\)
0.112413 + 0.993662i \(0.464142\pi\)
\(374\) 12.6084 7.28094i 0.651964 0.376488i
\(375\) 11.7963 10.8665i 0.609159 0.561146i
\(376\) 9.60053 28.3069i 0.495110 1.45982i
\(377\) 3.03405 + 7.32484i 0.156261 + 0.377249i
\(378\) −22.6043 9.15242i −1.16264 0.470750i
\(379\) −19.3630 + 3.85154i −0.994611 + 0.197840i −0.665457 0.746436i \(-0.731763\pi\)
−0.329154 + 0.944276i \(0.606763\pi\)
\(380\) 1.84580 + 2.40461i 0.0946875 + 0.123354i
\(381\) −9.33397 + 1.46177i −0.478194 + 0.0748889i
\(382\) 6.62545 2.24969i 0.338987 0.115104i
\(383\) −0.554559 0.960525i −0.0283367 0.0490805i 0.851509 0.524339i \(-0.175688\pi\)
−0.879846 + 0.475259i \(0.842354\pi\)
\(384\) 3.34010 19.3092i 0.170449 0.985367i
\(385\) −8.18366 + 14.1745i −0.417078 + 0.722400i
\(386\) 1.10878 5.57678i 0.0564354 0.283851i
\(387\) 17.8162 17.2358i 0.905650 0.876147i
\(388\) −4.35294 + 10.5142i −0.220987 + 0.533776i
\(389\) 9.54751 28.1261i 0.484078 1.42605i −0.381077 0.924543i \(-0.624447\pi\)
0.865155 0.501505i \(-0.167220\pi\)
\(390\) −9.30898 + 4.87816i −0.471379 + 0.247015i
\(391\) 20.0869 26.1778i 1.01584 1.32387i
\(392\) −8.53253 + 7.48683i −0.430958 + 0.378142i
\(393\) −28.4995 8.90351i −1.43761 0.449123i
\(394\) 11.5379 + 6.66006i 0.581272 + 0.335529i
\(395\) 3.33203 4.98673i 0.167652 0.250910i
\(396\) 7.32044 9.22335i 0.367866 0.463491i
\(397\) 15.3751 + 3.05831i 0.771656 + 0.153492i 0.565189 0.824962i \(-0.308803\pi\)
0.206467 + 0.978454i \(0.433803\pi\)
\(398\) 11.0649 32.6056i 0.554634 1.63437i
\(399\) −0.593029 + 3.41574i −0.0296886 + 0.171001i
\(400\) −0.688534 5.21570i −0.0344267 0.260785i
\(401\) 1.92109 7.16960i 0.0959345 0.358033i −0.901225 0.433352i \(-0.857331\pi\)
0.997159 + 0.0753190i \(0.0239975\pi\)
\(402\) 8.49120 + 13.9077i 0.423502 + 0.693652i
\(403\) −5.79606 5.08301i −0.288722 0.253203i
\(404\) 2.68377 13.5047i 0.133523 0.671884i
\(405\) 22.0243 + 5.14437i 1.09440 + 0.255626i
\(406\) −15.4121 15.4094i −0.764890 0.764755i
\(407\) −3.67538 + 2.82022i −0.182182 + 0.139793i
\(408\) −24.1238 + 8.85950i −1.19430 + 0.438611i
\(409\) −8.71085 6.68407i −0.430724 0.330506i 0.370541 0.928816i \(-0.379172\pi\)
−0.801264 + 0.598310i \(0.795839\pi\)
\(410\) 40.9841 5.39934i 2.02406 0.266654i
\(411\) 24.4266 + 23.2606i 1.20487 + 1.14736i
\(412\) −15.3142 + 26.5358i −0.754476 + 1.30732i
\(413\) −17.4251 26.0785i −0.857432 1.28324i
\(414\) 7.33050 25.6598i 0.360274 1.26111i
\(415\) 28.3654i 1.39240i
\(416\) 1.25641 9.57609i 0.0616008 0.469506i
\(417\) −11.4895 + 1.03565i −0.562641 + 0.0507161i
\(418\) −1.50141 0.740250i −0.0734365 0.0362068i
\(419\) 5.99717 12.1611i 0.292981 0.594107i −0.699760 0.714378i \(-0.746710\pi\)
0.992741 + 0.120271i \(0.0383764\pi\)
\(420\) 18.5079 22.1829i 0.903091 1.08242i
\(421\) −13.3450 4.53003i −0.650398 0.220780i −0.0233092 0.999728i \(-0.507420\pi\)
−0.627088 + 0.778948i \(0.715754\pi\)
\(422\) 21.3859 + 8.85612i 1.04105 + 0.431109i
\(423\) −26.6488 + 17.1748i −1.29571 + 0.835070i
\(424\) −0.807606 1.94827i −0.0392208 0.0946166i
\(425\) −5.47374 + 4.20015i −0.265515 + 0.203737i
\(426\) −2.24066 + 12.9126i −0.108560 + 0.625616i
\(427\) −0.870133 + 13.2757i −0.0421087 + 0.642454i
\(428\) 11.0170 22.3503i 0.532528 1.08034i
\(429\) 3.41945 4.68935i 0.165092 0.226404i
\(430\) 12.9906 + 26.3365i 0.626464 + 1.27006i
\(431\) 1.39700 + 1.39700i 0.0672913 + 0.0672913i 0.739951 0.672660i \(-0.234848\pi\)
−0.672660 + 0.739951i \(0.734848\pi\)
\(432\) −15.5132 + 13.8326i −0.746379 + 0.665521i
\(433\) 0.560122 0.560122i 0.0269177 0.0269177i −0.693520 0.720438i \(-0.743941\pi\)
0.720438 + 0.693520i \(0.243941\pi\)
\(434\) 20.0675 + 6.81004i 0.963273 + 0.326892i
\(435\) 16.3316 + 11.9089i 0.783040 + 0.570989i
\(436\) −13.8814 0.907372i −0.664797 0.0434552i
\(437\) −3.78561 0.248122i −0.181090 0.0118693i
\(438\) −7.44511 + 5.24334i −0.355741 + 0.250537i
\(439\) 19.5510 + 25.4794i 0.933118 + 1.21606i 0.976174 + 0.216991i \(0.0696241\pi\)
−0.0430556 + 0.999073i \(0.513709\pi\)
\(440\) 7.75307 + 11.5966i 0.369613 + 0.552848i
\(441\) 12.0257 0.588442i 0.572653 0.0280211i
\(442\) −11.7016 + 4.84819i −0.556591 + 0.230605i
\(443\) −9.02686 + 26.5923i −0.428879 + 1.26344i 0.490974 + 0.871174i \(0.336641\pi\)
−0.919853 + 0.392263i \(0.871692\pi\)
\(444\) 7.24262 3.79614i 0.343719 0.180157i
\(445\) −21.0606 10.3859i −0.998367 0.492340i
\(446\) 3.41596 + 10.0602i 0.161750 + 0.476363i
\(447\) 0.531868 + 5.90051i 0.0251565 + 0.279084i
\(448\) 6.88500 + 25.6408i 0.325286 + 1.21142i
\(449\) 8.31044 0.392194 0.196097 0.980584i \(-0.437173\pi\)
0.196097 + 0.980584i \(0.437173\pi\)
\(450\) −2.86924 + 4.78589i −0.135257 + 0.225609i
\(451\) −18.9806 + 12.6825i −0.893764 + 0.597194i
\(452\) 4.40559 33.5095i 0.207221 1.57615i
\(453\) 10.6734 11.2084i 0.501479 0.526617i
\(454\) −24.5444 18.8302i −1.15193 0.883743i
\(455\) 8.66805 11.2964i 0.406364 0.529584i
\(456\) 2.38788 + 1.74026i 0.111823 + 0.0814950i
\(457\) 5.99772 + 7.81638i 0.280562 + 0.365635i 0.912283 0.409561i \(-0.134318\pi\)
−0.631721 + 0.775196i \(0.717651\pi\)
\(458\) −33.4592 + 0.00295454i −1.56345 + 0.000138057i
\(459\) 25.8798 + 8.55790i 1.20797 + 0.399449i
\(460\) 26.2891 + 17.5591i 1.22574 + 0.818698i
\(461\) 14.8371 16.9185i 0.691035 0.787974i −0.294824 0.955551i \(-0.595261\pi\)
0.985859 + 0.167578i \(0.0535945\pi\)
\(462\) −3.74981 + 15.5066i −0.174457 + 0.721434i
\(463\) 9.45716 + 2.53404i 0.439511 + 0.117767i 0.471788 0.881712i \(-0.343609\pi\)
−0.0322761 + 0.999479i \(0.510276\pi\)
\(464\) −17.5869 + 5.97688i −0.816452 + 0.277470i
\(465\) −19.3640 3.36191i −0.897984 0.155905i
\(466\) −13.3605 27.0863i −0.618912 1.25475i
\(467\) −3.11071 + 15.6386i −0.143946 + 0.723667i 0.839628 + 0.543162i \(0.182773\pi\)
−0.983574 + 0.180505i \(0.942227\pi\)
\(468\) −7.36129 + 7.12400i −0.340276 + 0.329307i
\(469\) −18.3562 12.2652i −0.847610 0.566355i
\(470\) −9.72387 36.2772i −0.448529 1.67334i
\(471\) −2.31599 + 7.41330i −0.106715 + 0.341587i
\(472\) −26.5017 + 3.49616i −1.21984 + 0.160924i
\(473\) −12.8655 9.87204i −0.591556 0.453917i
\(474\) 1.74273 5.58008i 0.0800462 0.256301i
\(475\) 0.751164 + 0.254986i 0.0344658 + 0.0116996i
\(476\) 24.6157 24.6244i 1.12826 1.12866i
\(477\) −0.614662 + 2.15086i −0.0281435 + 0.0984810i
\(478\) −28.7589 + 19.2198i −1.31540 + 0.879091i
\(479\) −0.655125 0.378237i −0.0299334 0.0172821i 0.484959 0.874537i \(-0.338835\pi\)
−0.514892 + 0.857255i \(0.672168\pi\)
\(480\) −9.98577 22.5066i −0.455786 1.02728i
\(481\) 3.49030 2.01513i 0.159144 0.0918818i
\(482\) −7.46579 + 15.1425i −0.340057 + 0.689722i
\(483\) 5.59406 + 35.7201i 0.254538 + 1.62532i
\(484\) 12.3826 + 7.14617i 0.562845 + 0.324826i
\(485\) 2.78952 + 14.0238i 0.126665 + 0.636790i
\(486\) 22.0098 1.25307i 0.998383 0.0568405i
\(487\) −17.0544 + 7.06415i −0.772807 + 0.320107i −0.734009 0.679140i \(-0.762353\pi\)
−0.0387983 + 0.999247i \(0.512353\pi\)
\(488\) 9.82130 + 5.66686i 0.444589 + 0.256527i
\(489\) 19.9679 + 21.6764i 0.902978 + 0.980239i
\(490\) −3.69038 + 13.7776i −0.166715 + 0.622407i
\(491\) 1.27456 19.4460i 0.0575201 0.877587i −0.867445 0.497534i \(-0.834239\pi\)
0.924965 0.380053i \(-0.124094\pi\)
\(492\) 36.8352 16.3314i 1.66066 0.736277i
\(493\) 18.3148 + 16.0616i 0.824857 + 0.723380i
\(494\) 1.21093 + 0.808963i 0.0544823 + 0.0363970i
\(495\) 1.21200 14.7461i 0.0544752 0.662788i
\(496\) 12.7667 12.7758i 0.573243 0.573648i
\(497\) −4.59553 17.1507i −0.206138 0.769316i
\(498\) −7.80893 26.5227i −0.349927 1.18851i
\(499\) 0.0358375 + 0.105574i 0.00160431 + 0.00472614i 0.947729 0.319075i \(-0.103372\pi\)
−0.946125 + 0.323802i \(0.895039\pi\)
\(500\) 12.2134 + 13.9217i 0.546198 + 0.622598i
\(501\) 30.6795 + 16.7265i 1.37066 + 0.747285i
\(502\) 12.8563 + 7.42107i 0.573804 + 0.331218i
\(503\) 12.1676 29.3752i 0.542527 1.30978i −0.380407 0.924819i \(-0.624216\pi\)
0.922934 0.384957i \(-0.125784\pi\)
\(504\) 11.1986 25.8371i 0.498826 1.15087i
\(505\) −6.62064 15.9836i −0.294615 0.711263i
\(506\) −17.3087 2.27718i −0.769467 0.101233i
\(507\) 12.0459 12.6498i 0.534979 0.561797i
\(508\) −1.42586 10.8157i −0.0632623 0.479870i
\(509\) 11.5622 + 5.70184i 0.512485 + 0.252730i 0.680095 0.733124i \(-0.261938\pi\)
−0.167610 + 0.985853i \(0.553605\pi\)
\(510\) −19.0232 + 26.0928i −0.842362 + 1.15541i
\(511\) 6.16865 10.6844i 0.272885 0.472651i
\(512\) 22.1961 + 4.39675i 0.980940 + 0.194311i
\(513\) −0.834989 3.02069i −0.0368657 0.133367i
\(514\) −7.90483 + 39.7586i −0.348667 + 1.75368i
\(515\) 2.51779 + 38.4141i 0.110947 + 1.69273i
\(516\) 19.3971 + 21.0493i 0.853911 + 0.926645i
\(517\) 13.6750 + 15.5933i 0.601424 + 0.685793i
\(518\) −6.74349 + 8.78990i −0.296292 + 0.386206i
\(519\) −16.5447 10.4791i −0.726232 0.459980i
\(520\) −5.37030 10.8826i −0.235503 0.477234i
\(521\) −1.18684 + 2.86529i −0.0519965 + 0.125531i −0.947743 0.319034i \(-0.896642\pi\)
0.895747 + 0.444565i \(0.146642\pi\)
\(522\) 18.5492 + 6.63921i 0.811874 + 0.290590i
\(523\) 6.79179 10.1646i 0.296984 0.444468i −0.652728 0.757592i \(-0.726376\pi\)
0.949712 + 0.313124i \(0.101376\pi\)
\(524\) 11.0765 32.6492i 0.483878 1.42629i
\(525\) 0.803272 7.51726i 0.0350577 0.328080i
\(526\) −19.1177 21.7957i −0.833571 0.950337i
\(527\) −22.8794 6.13053i −0.996644 0.267050i
\(528\) 10.4419 + 8.70888i 0.454427 + 0.379005i
\(529\) −16.0002 + 4.28725i −0.695662 + 0.186402i
\(530\) −2.20353 1.47207i −0.0957153 0.0639427i
\(531\) 24.3162 + 14.5810i 1.05523 + 0.632762i
\(532\) −3.92638 0.780284i −0.170230 0.0338296i
\(533\) 17.8111 8.78349i 0.771486 0.380455i
\(534\) −22.5516 3.91329i −0.975905 0.169344i
\(535\) −4.08674 31.0419i −0.176685 1.34206i
\(536\) −16.2924 + 9.41219i −0.703725 + 0.406544i
\(537\) −6.42775 0.263707i −0.277378 0.0113798i
\(538\) −18.3594 23.9221i −0.791530 1.03135i
\(539\) −1.53662 7.72512i −0.0661870 0.332745i
\(540\) −6.55562 + 25.2798i −0.282109 + 1.08787i
\(541\) −23.5403 35.2306i −1.01208 1.51468i −0.849224 0.528032i \(-0.822930\pi\)
−0.162854 0.986650i \(-0.552070\pi\)
\(542\) −29.1714 + 1.91458i −1.25302 + 0.0822384i
\(543\) −17.5426 + 37.8799i −0.752824 + 1.62558i
\(544\) −9.55107 28.0958i −0.409499 1.20460i
\(545\) −15.1375 + 8.73963i −0.648419 + 0.374365i
\(546\) 4.99506 12.9489i 0.213769 0.554160i
\(547\) −6.83007 + 0.447667i −0.292033 + 0.0191408i −0.210716 0.977547i \(-0.567579\pi\)
−0.0813173 + 0.996688i \(0.525913\pi\)
\(548\) −27.5356 + 27.5453i −1.17626 + 1.17668i
\(549\) −4.41785 11.1859i −0.188549 0.477404i
\(550\) 3.37267 + 1.39665i 0.143811 + 0.0595536i
\(551\) 0.365573 2.77680i 0.0155739 0.118296i
\(552\) 29.4153 + 9.18107i 1.25200 + 0.390772i
\(553\) 1.03379 + 7.85241i 0.0439612 + 0.333918i
\(554\) −8.52441 2.28330i −0.362168 0.0970082i
\(555\) 4.91830 9.02105i 0.208770 0.382922i
\(556\) −0.873561 13.2920i −0.0370472 0.563706i
\(557\) 7.87041 39.5672i 0.333480 1.67652i −0.342439 0.939540i \(-0.611253\pi\)
0.675919 0.736976i \(-0.263747\pi\)
\(558\) −19.0316 + 2.18736i −0.805671 + 0.0925985i
\(559\) 9.97565 + 9.97565i 0.421925 + 0.421925i
\(560\) 25.0885 + 21.9863i 1.06018 + 0.929093i
\(561\) 3.05028 17.5690i 0.128783 0.741765i
\(562\) 11.5961 10.1713i 0.489151 0.429051i
\(563\) −1.33045 3.91939i −0.0560719 0.165183i 0.915285 0.402806i \(-0.131965\pi\)
−0.971357 + 0.237623i \(0.923632\pi\)
\(564\) −19.0792 31.2435i −0.803380 1.31559i
\(565\) −18.7828 38.0877i −0.790197 1.60236i
\(566\) −37.1955 + 0.00328446i −1.56344 + 0.000138056i
\(567\) −26.3465 + 14.0693i −1.10645 + 0.590856i
\(568\) −14.8430 2.94836i −0.622797 0.123711i
\(569\) 8.56642 + 1.12779i 0.359123 + 0.0472794i 0.307929 0.951409i \(-0.400364\pi\)
0.0511938 + 0.998689i \(0.483697\pi\)
\(570\) 3.70954 + 0.151860i 0.155375 + 0.00636073i
\(571\) 15.3173 + 17.4660i 0.641008 + 0.730929i 0.977542 0.210742i \(-0.0675880\pi\)
−0.336534 + 0.941671i \(0.609255\pi\)
\(572\) 5.31738 + 4.07868i 0.222331 + 0.170538i
\(573\) 3.08490 7.99499i 0.128874 0.333996i
\(574\) −35.9904 + 41.0465i −1.50221 + 1.71325i
\(575\) 8.27290 0.345004
\(576\) −15.5331 18.2954i −0.647212 0.762310i
\(577\) 6.32753 0.263419 0.131709 0.991288i \(-0.457953\pi\)
0.131709 + 0.991288i \(0.457953\pi\)
\(578\) −9.80715 + 11.1849i −0.407924 + 0.465230i
\(579\) −4.37309 5.41950i −0.181739 0.225227i
\(580\) −14.2048 + 18.5188i −0.589823 + 0.768953i
\(581\) 24.6983 + 28.1630i 1.02466 + 1.16840i
\(582\) 6.46904 + 12.3449i 0.268150 + 0.511711i
\(583\) 1.45087 + 0.191011i 0.0600889 + 0.00791086i
\(584\) −5.84408 8.74127i −0.241830 0.361716i
\(585\) −2.71981 + 12.5811i −0.112450 + 0.520163i
\(586\) 28.2966 0.00249867i 1.16892 0.000103219i
\(587\) −3.28469 6.66069i −0.135574 0.274916i 0.818490 0.574521i \(-0.194812\pi\)
−0.954063 + 0.299605i \(0.903145\pi\)
\(588\) 0.342294 + 13.8985i 0.0141159 + 0.573164i
\(589\) 0.875387 + 2.57881i 0.0360697 + 0.106258i
\(590\) −25.2509 + 22.1484i −1.03956 + 0.911836i
\(591\) 15.3175 5.62079i 0.630079 0.231208i
\(592\) 4.17916 + 8.46697i 0.171763 + 0.347990i
\(593\) 3.79360 + 3.79360i 0.155784 + 0.155784i 0.780696 0.624911i \(-0.214865\pi\)
−0.624911 + 0.780696i \(0.714865\pi\)
\(594\) −2.92631 14.1218i −0.120068 0.579425i
\(595\) 8.53500 42.9084i 0.349901 1.75907i
\(596\) −6.82621 + 0.448624i −0.279613 + 0.0183764i
\(597\) −21.9716 35.9943i −0.899238 1.47315i
\(598\) 14.6704 + 3.92953i 0.599917 + 0.160691i
\(599\) −1.94547 14.7773i −0.0794897 0.603784i −0.984109 0.177564i \(-0.943178\pi\)
0.904620 0.426220i \(-0.140155\pi\)
\(600\) −5.44424 3.44625i −0.222260 0.140693i
\(601\) 2.08814 15.8610i 0.0851771 0.646984i −0.894597 0.446875i \(-0.852537\pi\)
0.979774 0.200109i \(-0.0641297\pi\)
\(602\) −35.8297 14.8374i −1.46031 0.604729i
\(603\) 19.7405 + 2.93215i 0.803897 + 0.119406i
\(604\) 12.6395 + 12.6350i 0.514293 + 0.514111i
\(605\) 17.9255 1.17490i 0.728774 0.0477664i
\(606\) −10.5908 13.1226i −0.430222 0.533071i
\(607\) 4.13809 2.38913i 0.167960 0.0969717i −0.413664 0.910430i \(-0.635751\pi\)
0.581624 + 0.813458i \(0.302418\pi\)
\(608\) −2.07580 + 2.70771i −0.0841847 + 0.109812i
\(609\) −26.5844 + 2.39630i −1.07725 + 0.0971030i
\(610\) 14.2169 0.933082i 0.575623 0.0377794i
\(611\) −10.0242 15.0022i −0.405535 0.606925i
\(612\) −10.6041 + 29.6348i −0.428645 + 1.19792i
\(613\) −5.94490 29.8870i −0.240112 1.20713i −0.893135 0.449788i \(-0.851499\pi\)
0.653023 0.757338i \(-0.273501\pi\)
\(614\) 18.4002 + 23.9753i 0.742573 + 0.967563i
\(615\) 27.0904 42.7712i 1.09239 1.72470i
\(616\) −17.7952 4.76315i −0.716988 0.191913i
\(617\) 0.993283 + 7.54473i 0.0399881 + 0.303740i 0.999738 + 0.0228840i \(0.00728485\pi\)
−0.959750 + 0.280856i \(0.909382\pi\)
\(618\) 12.9296 + 35.2255i 0.520103 + 1.41698i
\(619\) −39.9209 + 19.6868i −1.60456 + 0.791280i −0.999986 0.00527216i \(-0.998322\pi\)
−0.604570 + 0.796552i \(0.706655\pi\)
\(620\) 4.42347 22.2588i 0.177651 0.893936i
\(621\) −18.3721 27.0317i −0.737248 1.08474i
\(622\) 24.7646 + 16.5440i 0.992972 + 0.663356i
\(623\) 29.9535 8.02603i 1.20006 0.321556i
\(624\) −8.01739 8.69721i −0.320952 0.348167i
\(625\) 28.8293 + 7.72480i 1.15317 + 0.308992i
\(626\) −26.5803 30.3036i −1.06236 1.21118i
\(627\) −1.87439 + 0.830643i −0.0748561 + 0.0331727i
\(628\) −8.49272 2.88122i −0.338896 0.114973i
\(629\) 6.87963 10.2961i 0.274309 0.410532i
\(630\) −6.33041 34.8118i −0.252210 1.38694i
\(631\) −0.212187 + 0.512265i −0.00844703 + 0.0203929i −0.928047 0.372464i \(-0.878513\pi\)
0.919600 + 0.392857i \(0.128513\pi\)
\(632\) 6.39258 + 2.16810i 0.254283 + 0.0862424i
\(633\) 25.1116 13.1563i 0.998097 0.522917i
\(634\) 4.51679 5.88747i 0.179385 0.233821i
\(635\) −9.03806 10.3059i −0.358664 0.408978i
\(636\) −2.46564 0.769813i −0.0977691 0.0305251i
\(637\) 0.448153 + 6.83750i 0.0177565 + 0.270911i
\(638\) 2.51330 12.6410i 0.0995025 0.500464i
\(639\) 10.3819 + 12.2413i 0.410700 + 0.484258i
\(640\) 26.2606 10.8965i 1.03804 0.430722i
\(641\) 11.4506 19.8330i 0.452270 0.783355i −0.546257 0.837618i \(-0.683948\pi\)
0.998527 + 0.0542633i \(0.0172810\pi\)
\(642\) −12.3670 27.9002i −0.488087 1.10113i
\(643\) −14.2084 7.00679i −0.560323 0.276321i 0.139994 0.990152i \(-0.455292\pi\)
−0.700317 + 0.713832i \(0.746958\pi\)
\(644\) −41.3906 + 5.45662i −1.63102 + 0.215021i
\(645\) 34.9577 + 8.45671i 1.37646 + 0.332983i
\(646\) 4.43623 + 0.583643i 0.174541 + 0.0229631i
\(647\) −3.04398 7.34881i −0.119671 0.288911i 0.852681 0.522432i \(-0.174975\pi\)
−0.972352 + 0.233521i \(0.924975\pi\)
\(648\) 0.829744 + 25.4423i 0.0325954 + 0.999469i
\(649\) 7.09804 17.1362i 0.278622 0.672654i
\(650\) −2.75037 1.58760i −0.107878 0.0622709i
\(651\) 22.1531 13.5227i 0.868250 0.529996i
\(652\) −25.5819 + 22.4427i −1.00186 + 0.878924i
\(653\) 2.56647 + 7.56057i 0.100434 + 0.295868i 0.985520 0.169559i \(-0.0542343\pi\)
−0.885086 + 0.465427i \(0.845901\pi\)
\(654\) −11.7481 + 12.3392i −0.459387 + 0.482501i
\(655\) −11.2122 41.8443i −0.438095 1.63499i
\(656\) 17.8202 + 42.9787i 0.695760 + 1.67804i
\(657\) −0.913574 + 11.1153i −0.0356419 + 0.433647i
\(658\) 41.2418 + 27.5516i 1.60777 + 1.07407i
\(659\) −25.8015 22.6273i −1.00508 0.881433i −0.0121270 0.999926i \(-0.503860\pi\)
−0.992955 + 0.118493i \(0.962194\pi\)
\(660\) 16.9883 + 1.81229i 0.661270 + 0.0705433i
\(661\) −0.187582 + 2.86195i −0.00729610 + 0.111317i −0.999954 0.00964285i \(-0.996931\pi\)
0.992657 + 0.120960i \(0.0385972\pi\)
\(662\) −6.35923 + 23.7414i −0.247159 + 0.922734i
\(663\) −4.62590 + 14.8071i −0.179655 + 0.575062i
\(664\) 30.8355 8.27111i 1.19665 0.320981i
\(665\) −4.64711 + 1.92490i −0.180207 + 0.0746442i
\(666\) 2.11531 9.78901i 0.0819666 0.379317i
\(667\) −5.69840 28.6478i −0.220643 1.10925i
\(668\) −20.1681 + 34.9464i −0.780328 + 1.35212i
\(669\) 12.1397 + 4.68415i 0.469348 + 0.181100i
\(670\) −10.4548 + 21.2049i −0.403903 + 0.819216i
\(671\) −6.81366 + 3.93387i −0.263038 + 0.151865i
\(672\) 29.5115 + 13.6512i 1.13843 + 0.526608i
\(673\) 39.8418 + 23.0027i 1.53579 + 0.886687i 0.999079 + 0.0429198i \(0.0136660\pi\)
0.536709 + 0.843767i \(0.319667\pi\)
\(674\) −23.4254 + 15.6554i −0.902314 + 0.603022i
\(675\) 2.24776 + 6.45395i 0.0865164 + 0.248413i
\(676\) 14.2649 + 14.2598i 0.548649 + 0.548455i
\(677\) −2.07489 0.704332i −0.0797447 0.0270697i 0.281282 0.959625i \(-0.409240\pi\)
−0.361027 + 0.932555i \(0.617574\pi\)
\(678\) −28.0481 30.4425i −1.07718 1.16914i
\(679\) −14.9804 11.4949i −0.574897 0.441134i
\(680\) −29.5875 22.6908i −1.13463 0.870153i
\(681\) −36.9683 + 8.29773i −1.41663 + 0.317970i
\(682\) 3.24463 + 12.1049i 0.124243 + 0.463519i
\(683\) −13.4218 8.96814i −0.513570 0.343156i 0.271627 0.962403i \(-0.412438\pi\)
−0.785197 + 0.619246i \(0.787438\pi\)
\(684\) 3.51036 0.879233i 0.134222 0.0336183i
\(685\) −9.54742 + 47.9981i −0.364788 + 1.83391i
\(686\) 6.20070 + 12.5710i 0.236744 + 0.479962i
\(687\) −26.2582 + 31.4609i −1.00181 + 1.20031i
\(688\) −24.8421 + 21.8014i −0.947095 + 0.831172i
\(689\) −1.22970 0.329498i −0.0468480 0.0125529i
\(690\) 37.1426 10.9357i 1.41399 0.416315i
\(691\) 5.56834 6.34948i 0.211830 0.241546i −0.636161 0.771556i \(-0.719479\pi\)
0.847991 + 0.530011i \(0.177812\pi\)
\(692\) 12.5602 18.8049i 0.477469 0.714855i
\(693\) 11.6364 + 15.6962i 0.442029 + 0.596249i
\(694\) 10.7401 0.000948384i 0.407690 3.60001e-5i
\(695\) −10.1892 13.2788i −0.386497 0.503692i
\(696\) −8.18382 + 21.2264i −0.310207 + 0.804583i
\(697\) 37.1451 48.4085i 1.40697 1.83360i
\(698\) −18.7426 14.3791i −0.709420 0.544257i
\(699\) −35.9529 8.69747i −1.35986 0.328968i
\(700\) 8.65512 + 1.13791i 0.327133 + 0.0430091i
\(701\) −34.2134 + 22.8607i −1.29222 + 0.863436i −0.995794 0.0916186i \(-0.970796\pi\)
−0.296429 + 0.955055i \(0.595796\pi\)
\(702\) 0.920422 + 12.5125i 0.0347391 + 0.472254i
\(703\) −1.42372 −0.0536967
\(704\) −10.3458 + 11.8097i −0.389922 + 0.445096i
\(705\) −41.7400 19.3302i −1.57202 0.728017i
\(706\) 13.0378 + 38.3969i 0.490684 + 1.44509i
\(707\) 20.4907 + 10.1049i 0.770631 + 0.380033i
\(708\) −17.5131 + 27.6611i −0.658184 + 1.03957i
\(709\) 11.6725 34.3860i 0.438369 1.29139i −0.473458 0.880817i \(-0.656994\pi\)
0.911826 0.410576i \(-0.134672\pi\)
\(710\) −17.5666 + 7.27815i −0.659264 + 0.273144i
\(711\) −3.87862 6.01812i −0.145460 0.225697i
\(712\) 5.14928 25.9231i 0.192977 0.971508i
\(713\) 17.2898 + 22.5325i 0.647507 + 0.843847i
\(714\) −3.83205 42.4706i −0.143411 1.58942i
\(715\) 8.40246 + 0.550726i 0.314234 + 0.0205960i
\(716\) 0.484530 7.41256i 0.0181077 0.277020i
\(717\) −4.50127 + 42.1242i −0.168103 + 1.57316i
\(718\) −31.4734 10.6807i −1.17458 0.398599i
\(719\) 1.42433 1.42433i 0.0531184 0.0531184i −0.680049 0.733167i \(-0.738041\pi\)
0.733167 + 0.680049i \(0.238041\pi\)
\(720\) −28.9983 8.27593i −1.08070 0.308426i
\(721\) −35.9477 35.9477i −1.33876 1.33876i
\(722\) 11.6589 + 23.6366i 0.433898 + 0.879663i
\(723\) 8.37745 + 18.9042i 0.311561 + 0.703054i
\(724\) −43.2355 21.3119i −1.60684 0.792051i
\(725\) −0.399454 + 6.09448i −0.0148353 + 0.226343i
\(726\) 16.4375 6.03342i 0.610054 0.223921i
\(727\) 19.5668 15.0142i 0.725694 0.556845i −0.178514 0.983937i \(-0.557129\pi\)
0.904208 + 0.427093i \(0.140462\pi\)
\(728\) 14.8077 + 6.12895i 0.548810 + 0.227154i
\(729\) 16.0965 21.6772i 0.596167 0.802860i
\(730\) −12.2068 5.05495i −0.451793 0.187092i
\(731\) 41.0457 + 13.9331i 1.51813 + 0.515336i
\(732\) 13.0364 4.78634i 0.481839 0.176908i
\(733\) 8.33222 16.8961i 0.307758 0.624071i −0.686963 0.726693i \(-0.741057\pi\)
0.994720 + 0.102622i \(0.0327232\pi\)
\(734\) 45.1284 + 22.2499i 1.66572 + 0.821259i
\(735\) 10.0573 + 14.2832i 0.370970 + 0.526845i
\(736\) −11.4225 + 33.6986i −0.421040 + 1.24215i
\(737\) 13.0557i 0.480912i
\(738\) 13.5557 47.4506i 0.498992 1.74668i
\(739\) 19.1040 + 28.5912i 0.702752 + 1.05174i 0.995426 + 0.0955308i \(0.0304548\pi\)
−0.292674 + 0.956212i \(0.594545\pi\)
\(740\) 10.2757 + 5.93027i 0.377743 + 0.218001i
\(741\) 1.71101 0.503599i 0.0628554 0.0185002i
\(742\) 3.46957 0.457090i 0.127372 0.0167803i
\(743\) −12.8644 9.87120i −0.471949 0.362139i 0.345235 0.938516i \(-0.387799\pi\)
−0.817184 + 0.576377i \(0.804466\pi\)
\(744\) −1.99171 22.0306i −0.0730195 0.807681i
\(745\) −6.81942 + 5.23272i −0.249844 + 0.191712i
\(746\) 6.84371 + 6.84250i 0.250566 + 0.250522i
\(747\) −31.0657 13.4747i −1.13664 0.493012i
\(748\) 20.1955 + 4.01343i 0.738422 + 0.146746i
\(749\) 31.0863 + 27.2620i 1.13587 + 0.996132i
\(750\) 22.6751 0.556442i 0.827978 0.0203184i
\(751\) 5.37440 20.0575i 0.196115 0.731910i −0.795861 0.605480i \(-0.792981\pi\)
0.991975 0.126431i \(-0.0403521\pi\)
\(752\) 36.6009 21.1488i 1.33470 0.771217i
\(753\) 17.0678 6.26304i 0.621984 0.228238i
\(754\) −3.60317 + 10.6177i −0.131220 + 0.386672i
\(755\) 22.0245 + 4.38094i 0.801553 + 0.159439i
\(756\) −15.5028 30.8076i −0.563831 1.12046i
\(757\) 15.1738 22.7092i 0.551502 0.825380i −0.446072 0.894997i \(-0.647178\pi\)
0.997574 + 0.0696165i \(0.0221776\pi\)
\(758\) −24.1806 13.9578i −0.878278 0.506971i
\(759\) −15.7260 + 14.4865i −0.570818 + 0.525827i
\(760\) −0.279249 + 4.27789i −0.0101294 + 0.155175i
\(761\) −12.7738 + 16.6472i −0.463052 + 0.603461i −0.965262 0.261285i \(-0.915854\pi\)
0.502210 + 0.864746i \(0.332520\pi\)
\(762\) −11.2881 7.14826i −0.408926 0.258954i
\(763\) 7.41972 21.8578i 0.268612 0.791305i
\(764\) 9.14266 + 3.78512i 0.330770 + 0.136941i
\(765\) 9.60203 + 38.3651i 0.347162 + 1.38709i
\(766\) 0.305869 1.53842i 0.0110515 0.0555853i
\(767\) −8.06799 + 13.9742i −0.291318 + 0.504578i
\(768\) 21.5548 17.4181i 0.777792 0.628522i
\(769\) 13.8392 + 23.9702i 0.499054 + 0.864387i 0.999999 0.00109216i \(-0.000347647\pi\)
−0.500946 + 0.865479i \(0.667014\pi\)
\(770\) −21.9178 + 7.44226i −0.789864 + 0.268200i
\(771\) 31.1771 + 38.6373i 1.12282 + 1.39149i
\(772\) 6.37859 4.89626i 0.229571 0.176220i
\(773\) −28.0714