Properties

Label 370.2.q.f.103.4
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.q (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.4
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.f.97.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.418603 - 1.56225i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.09367 + 0.785216i) q^{5} +(1.14364 - 1.14364i) q^{6} +(-0.298699 - 1.11476i) q^{7} -1.00000 q^{8} +(0.332689 - 0.192078i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.418603 - 1.56225i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.09367 + 0.785216i) q^{5} +(1.14364 - 1.14364i) q^{6} +(-0.298699 - 1.11476i) q^{7} -1.00000 q^{8} +(0.332689 - 0.192078i) q^{9} +(-1.72685 - 1.42056i) q^{10} -5.41958i q^{11} +(1.56225 + 0.418603i) q^{12} +(2.03941 - 3.53236i) q^{13} +(0.816061 - 0.816061i) q^{14} +(2.10312 + 2.94213i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(3.37280 - 1.94729i) q^{17} +(0.332689 + 0.192078i) q^{18} +(-5.80123 + 1.55443i) q^{19} +(0.366816 - 2.20578i) q^{20} +(-1.61650 + 0.933284i) q^{21} +(4.69349 - 2.70979i) q^{22} +0.383468 q^{23} +(0.418603 + 1.56225i) q^{24} +(3.76687 - 3.28796i) q^{25} +4.07882 q^{26} +(-3.87027 - 3.87027i) q^{27} +(1.11476 + 0.298699i) q^{28} +(-5.82137 + 5.82137i) q^{29} +(-1.49640 + 3.29242i) q^{30} +(-3.43124 - 3.43124i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-8.46672 + 2.26865i) q^{33} +(3.37280 + 1.94729i) q^{34} +(1.50070 + 2.09939i) q^{35} +0.384156i q^{36} +(5.44223 - 2.71702i) q^{37} +(-4.24679 - 4.24679i) q^{38} +(-6.37212 - 1.70740i) q^{39} +(2.09367 - 0.785216i) q^{40} +(7.78143 + 4.49261i) q^{41} +(-1.61650 - 0.933284i) q^{42} +1.57247 q^{43} +(4.69349 + 2.70979i) q^{44} +(-0.545717 + 0.663380i) q^{45} +(0.191734 + 0.332093i) q^{46} +(-3.06744 + 3.06744i) q^{47} +(-1.14364 + 1.14364i) q^{48} +(4.90871 - 2.83404i) q^{49} +(4.73089 + 1.61823i) q^{50} +(-4.45401 - 4.45401i) q^{51} +(2.03941 + 3.53236i) q^{52} +(-2.04146 + 7.61884i) q^{53} +(1.41662 - 5.28689i) q^{54} +(4.25554 + 11.3468i) q^{55} +(0.298699 + 1.11476i) q^{56} +(4.85682 + 8.41226i) q^{57} +(-7.95215 - 2.13077i) q^{58} +(-2.84475 + 10.6168i) q^{59} +(-3.59952 + 0.350287i) q^{60} +(-8.58880 + 2.30136i) q^{61} +(1.25592 - 4.68716i) q^{62} +(-0.313495 - 0.313495i) q^{63} +1.00000 q^{64} +(-1.49617 + 8.99695i) q^{65} +(-6.19807 - 6.19807i) q^{66} +(10.0190 - 2.68457i) q^{67} +3.89458i q^{68} +(-0.160521 - 0.599071i) q^{69} +(-1.06778 + 2.34934i) q^{70} +(2.42276 - 4.19634i) q^{71} +(-0.332689 + 0.192078i) q^{72} +(9.61059 - 9.61059i) q^{73} +(5.07412 + 3.35460i) q^{74} +(-6.71343 - 4.50843i) q^{75} +(1.55443 - 5.80123i) q^{76} +(-6.04153 + 1.61882i) q^{77} +(-1.70740 - 6.37212i) q^{78} +(8.53421 - 2.28673i) q^{79} +(1.72685 + 1.42056i) q^{80} +(-3.84998 + 6.66836i) q^{81} +8.98522i q^{82} +(3.22265 - 12.0271i) q^{83} -1.86657i q^{84} +(-5.53248 + 6.72535i) q^{85} +(0.786233 + 1.36180i) q^{86} +(11.5313 + 6.65758i) q^{87} +5.41958i q^{88} +(-14.3038 - 3.83268i) q^{89} +(-0.847362 - 0.140915i) q^{90} +(-4.54690 - 1.21834i) q^{91} +(-0.191734 + 0.332093i) q^{92} +(-3.92412 + 6.79677i) q^{93} +(-4.19020 - 1.12276i) q^{94} +(10.9253 - 7.80968i) q^{95} +(-1.56225 - 0.418603i) q^{96} +4.38333i q^{97} +(4.90871 + 2.83404i) q^{98} +(-1.04098 - 1.80304i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) −0.418603 1.56225i −0.241680 0.901964i −0.975023 0.222104i \(-0.928707\pi\)
0.733342 0.679859i \(-0.237959\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −2.09367 + 0.785216i −0.936316 + 0.351159i
\(6\) 1.14364 1.14364i 0.466891 0.466891i
\(7\) −0.298699 1.11476i −0.112898 0.421340i 0.886223 0.463258i \(-0.153320\pi\)
−0.999121 + 0.0419183i \(0.986653\pi\)
\(8\) −1.00000 −0.353553
\(9\) 0.332689 0.192078i 0.110896 0.0640260i
\(10\) −1.72685 1.42056i −0.546078 0.449220i
\(11\) 5.41958i 1.63406i −0.576592 0.817032i \(-0.695618\pi\)
0.576592 0.817032i \(-0.304382\pi\)
\(12\) 1.56225 + 0.418603i 0.450982 + 0.120840i
\(13\) 2.03941 3.53236i 0.565630 0.979700i −0.431361 0.902179i \(-0.641966\pi\)
0.996991 0.0775203i \(-0.0247003\pi\)
\(14\) 0.816061 0.816061i 0.218102 0.218102i
\(15\) 2.10312 + 2.94213i 0.543022 + 0.759654i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 3.37280 1.94729i 0.818025 0.472287i −0.0317102 0.999497i \(-0.510095\pi\)
0.849735 + 0.527210i \(0.176762\pi\)
\(18\) 0.332689 + 0.192078i 0.0784156 + 0.0452732i
\(19\) −5.80123 + 1.55443i −1.33089 + 0.356612i −0.853048 0.521833i \(-0.825249\pi\)
−0.477845 + 0.878444i \(0.658582\pi\)
\(20\) 0.366816 2.20578i 0.0820225 0.493226i
\(21\) −1.61650 + 0.933284i −0.352748 + 0.203659i
\(22\) 4.69349 2.70979i 1.00066 0.577729i
\(23\) 0.383468 0.0799586 0.0399793 0.999201i \(-0.487271\pi\)
0.0399793 + 0.999201i \(0.487271\pi\)
\(24\) 0.418603 + 1.56225i 0.0854469 + 0.318892i
\(25\) 3.76687 3.28796i 0.753374 0.657592i
\(26\) 4.07882 0.799922
\(27\) −3.87027 3.87027i −0.744834 0.744834i
\(28\) 1.11476 + 0.298699i 0.210670 + 0.0564488i
\(29\) −5.82137 + 5.82137i −1.08100 + 1.08100i −0.0845860 + 0.996416i \(0.526957\pi\)
−0.996416 + 0.0845860i \(0.973043\pi\)
\(30\) −1.49640 + 3.29242i −0.273204 + 0.601110i
\(31\) −3.43124 3.43124i −0.616269 0.616269i 0.328304 0.944572i \(-0.393523\pi\)
−0.944572 + 0.328304i \(0.893523\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −8.46672 + 2.26865i −1.47387 + 0.394922i
\(34\) 3.37280 + 1.94729i 0.578431 + 0.333957i
\(35\) 1.50070 + 2.09939i 0.253665 + 0.354862i
\(36\) 0.384156i 0.0640260i
\(37\) 5.44223 2.71702i 0.894696 0.446675i
\(38\) −4.24679 4.24679i −0.688921 0.688921i
\(39\) −6.37212 1.70740i −1.02036 0.273403i
\(40\) 2.09367 0.785216i 0.331038 0.124154i
\(41\) 7.78143 + 4.49261i 1.21526 + 0.701628i 0.963899 0.266267i \(-0.0857901\pi\)
0.251356 + 0.967895i \(0.419123\pi\)
\(42\) −1.61650 0.933284i −0.249431 0.144009i
\(43\) 1.57247 0.239799 0.119899 0.992786i \(-0.461743\pi\)
0.119899 + 0.992786i \(0.461743\pi\)
\(44\) 4.69349 + 2.70979i 0.707571 + 0.408516i
\(45\) −0.545717 + 0.663380i −0.0813507 + 0.0988909i
\(46\) 0.191734 + 0.332093i 0.0282696 + 0.0489644i
\(47\) −3.06744 + 3.06744i −0.447432 + 0.447432i −0.894500 0.447068i \(-0.852468\pi\)
0.447068 + 0.894500i \(0.352468\pi\)
\(48\) −1.14364 + 1.14364i −0.165071 + 0.165071i
\(49\) 4.90871 2.83404i 0.701244 0.404863i
\(50\) 4.73089 + 1.61823i 0.669049 + 0.228852i
\(51\) −4.45401 4.45401i −0.623686 0.623686i
\(52\) 2.03941 + 3.53236i 0.282815 + 0.489850i
\(53\) −2.04146 + 7.61884i −0.280416 + 1.04653i 0.671708 + 0.740816i \(0.265561\pi\)
−0.952124 + 0.305712i \(0.901106\pi\)
\(54\) 1.41662 5.28689i 0.192777 0.719454i
\(55\) 4.25554 + 11.3468i 0.573817 + 1.53000i
\(56\) 0.298699 + 1.11476i 0.0399154 + 0.148966i
\(57\) 4.85682 + 8.41226i 0.643302 + 1.11423i
\(58\) −7.95215 2.13077i −1.04417 0.279784i
\(59\) −2.84475 + 10.6168i −0.370355 + 1.38218i 0.489659 + 0.871914i \(0.337121\pi\)
−0.860014 + 0.510270i \(0.829546\pi\)
\(60\) −3.59952 + 0.350287i −0.464696 + 0.0452219i
\(61\) −8.58880 + 2.30136i −1.09968 + 0.294659i −0.762635 0.646829i \(-0.776095\pi\)
−0.337047 + 0.941488i \(0.609428\pi\)
\(62\) 1.25592 4.68716i 0.159502 0.595270i
\(63\) −0.313495 0.313495i −0.0394967 0.0394967i
\(64\) 1.00000 0.125000
\(65\) −1.49617 + 8.99695i −0.185578 + 1.11593i
\(66\) −6.19807 6.19807i −0.762930 0.762930i
\(67\) 10.0190 2.68457i 1.22401 0.327973i 0.411766 0.911290i \(-0.364912\pi\)
0.812245 + 0.583317i \(0.198245\pi\)
\(68\) 3.89458i 0.472287i
\(69\) −0.160521 0.599071i −0.0193244 0.0721197i
\(70\) −1.06778 + 2.34934i −0.127624 + 0.280800i
\(71\) 2.42276 4.19634i 0.287528 0.498013i −0.685691 0.727893i \(-0.740500\pi\)
0.973219 + 0.229879i \(0.0738332\pi\)
\(72\) −0.332689 + 0.192078i −0.0392078 + 0.0226366i
\(73\) 9.61059 9.61059i 1.12483 1.12483i 0.133830 0.991004i \(-0.457272\pi\)
0.991004 0.133830i \(-0.0427275\pi\)
\(74\) 5.07412 + 3.35460i 0.589854 + 0.389964i
\(75\) −6.71343 4.50843i −0.775200 0.520589i
\(76\) 1.55443 5.80123i 0.178306 0.665446i
\(77\) −6.04153 + 1.61882i −0.688497 + 0.184482i
\(78\) −1.70740 6.37212i −0.193325 0.721500i
\(79\) 8.53421 2.28673i 0.960174 0.257278i 0.255500 0.966809i \(-0.417760\pi\)
0.704674 + 0.709531i \(0.251093\pi\)
\(80\) 1.72685 + 1.42056i 0.193068 + 0.158823i
\(81\) −3.84998 + 6.66836i −0.427775 + 0.740929i
\(82\) 8.98522i 0.992252i
\(83\) 3.22265 12.0271i 0.353731 1.32014i −0.528342 0.849032i \(-0.677186\pi\)
0.882073 0.471112i \(-0.156147\pi\)
\(84\) 1.86657i 0.203659i
\(85\) −5.53248 + 6.72535i −0.600081 + 0.729466i
\(86\) 0.786233 + 1.36180i 0.0847817 + 0.146846i
\(87\) 11.5313 + 6.65758i 1.23628 + 0.713768i
\(88\) 5.41958i 0.577729i
\(89\) −14.3038 3.83268i −1.51620 0.406264i −0.597709 0.801713i \(-0.703922\pi\)
−0.918488 + 0.395449i \(0.870589\pi\)
\(90\) −0.847362 0.140915i −0.0893198 0.0148537i
\(91\) −4.54690 1.21834i −0.476645 0.127717i
\(92\) −0.191734 + 0.332093i −0.0199896 + 0.0346231i
\(93\) −3.92412 + 6.79677i −0.406912 + 0.704792i
\(94\) −4.19020 1.12276i −0.432186 0.115804i
\(95\) 10.9253 7.80968i 1.12091 0.801256i
\(96\) −1.56225 0.418603i −0.159446 0.0427235i
\(97\) 4.38333i 0.445060i 0.974926 + 0.222530i \(0.0714315\pi\)
−0.974926 + 0.222530i \(0.928569\pi\)
\(98\) 4.90871 + 2.83404i 0.495854 + 0.286282i
\(99\) −1.04098 1.80304i −0.104623 0.181212i
\(100\) 0.964021 + 4.90619i 0.0964021 + 0.490619i
\(101\) 7.97874i 0.793914i 0.917837 + 0.396957i \(0.129934\pi\)
−0.917837 + 0.396957i \(0.870066\pi\)
\(102\) 1.63028 6.08429i 0.161422 0.602434i
\(103\) 4.69150i 0.462267i 0.972922 + 0.231134i \(0.0742435\pi\)
−0.972922 + 0.231134i \(0.925757\pi\)
\(104\) −2.03941 + 3.53236i −0.199980 + 0.346376i
\(105\) 2.65157 3.22328i 0.258767 0.314560i
\(106\) −7.61884 + 2.04146i −0.740007 + 0.198284i
\(107\) −0.868218 3.24023i −0.0839338 0.313245i 0.911176 0.412017i \(-0.135175\pi\)
−0.995110 + 0.0987714i \(0.968509\pi\)
\(108\) 5.28689 1.41662i 0.508731 0.136314i
\(109\) 2.16115 8.06551i 0.207000 0.772536i −0.781830 0.623491i \(-0.785714\pi\)
0.988831 0.149044i \(-0.0476197\pi\)
\(110\) −7.69884 + 9.35880i −0.734055 + 0.892327i
\(111\) −6.52278 7.36475i −0.619115 0.699031i
\(112\) −0.816061 + 0.816061i −0.0771106 + 0.0771106i
\(113\) 5.90335 3.40830i 0.555340 0.320626i −0.195933 0.980617i \(-0.562773\pi\)
0.751273 + 0.659992i \(0.229440\pi\)
\(114\) −4.85682 + 8.41226i −0.454883 + 0.787880i
\(115\) −0.802853 + 0.301105i −0.0748665 + 0.0280782i
\(116\) −2.13077 7.95215i −0.197837 0.738338i
\(117\) 1.56690i 0.144860i
\(118\) −10.6168 + 2.84475i −0.977351 + 0.261881i
\(119\) −3.17821 3.17821i −0.291346 0.291346i
\(120\) −2.10312 2.94213i −0.191987 0.268578i
\(121\) −18.3719 −1.67017
\(122\) −6.28744 6.28744i −0.569238 0.569238i
\(123\) 3.76124 14.0371i 0.339140 1.26569i
\(124\) 4.68716 1.25592i 0.420919 0.112785i
\(125\) −5.30481 + 9.84170i −0.474477 + 0.880268i
\(126\) 0.114747 0.428242i 0.0102225 0.0381508i
\(127\) 1.49703 + 0.401127i 0.132840 + 0.0355943i 0.324626 0.945842i \(-0.394761\pi\)
−0.191787 + 0.981437i \(0.561428\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −0.658239 2.45658i −0.0579547 0.216290i
\(130\) −8.53968 + 3.20275i −0.748979 + 0.280900i
\(131\) −3.77026 + 14.0708i −0.329409 + 1.22937i 0.580396 + 0.814334i \(0.302898\pi\)
−0.909805 + 0.415036i \(0.863769\pi\)
\(132\) 2.26865 8.46672i 0.197461 0.736934i
\(133\) 3.46564 + 6.00267i 0.300509 + 0.520498i
\(134\) 7.33439 + 7.33439i 0.633595 + 0.633595i
\(135\) 11.1421 + 5.06405i 0.958955 + 0.435844i
\(136\) −3.37280 + 1.94729i −0.289215 + 0.166979i
\(137\) −8.51418 + 8.51418i −0.727416 + 0.727416i −0.970104 0.242689i \(-0.921971\pi\)
0.242689 + 0.970104i \(0.421971\pi\)
\(138\) 0.438551 0.438551i 0.0373319 0.0373319i
\(139\) −5.04939 8.74580i −0.428284 0.741809i 0.568437 0.822727i \(-0.307548\pi\)
−0.996721 + 0.0809175i \(0.974215\pi\)
\(140\) −2.56848 + 0.249952i −0.217076 + 0.0211248i
\(141\) 6.07614 + 3.50806i 0.511703 + 0.295432i
\(142\) 4.84551 0.406626
\(143\) −19.1439 11.0527i −1.60089 0.924276i
\(144\) −0.332689 0.192078i −0.0277241 0.0160065i
\(145\) 7.61698 16.7590i 0.632555 1.39176i
\(146\) 13.1283 + 3.51772i 1.08651 + 0.291128i
\(147\) −6.48228 6.48228i −0.534649 0.534649i
\(148\) −0.368107 + 6.07161i −0.0302582 + 0.499084i
\(149\) 7.20201i 0.590012i −0.955495 0.295006i \(-0.904678\pi\)
0.955495 0.295006i \(-0.0953216\pi\)
\(150\) 0.547705 8.06822i 0.0447199 0.658767i
\(151\) 5.82441 + 3.36272i 0.473984 + 0.273655i 0.717906 0.696140i \(-0.245101\pi\)
−0.243922 + 0.969795i \(0.578434\pi\)
\(152\) 5.80123 1.55443i 0.470542 0.126081i
\(153\) 0.748063 1.29568i 0.0604773 0.104750i
\(154\) −4.42271 4.42271i −0.356392 0.356392i
\(155\) 9.87813 + 4.48960i 0.793430 + 0.360614i
\(156\) 4.66471 4.66471i 0.373476 0.373476i
\(157\) 12.8692 + 3.44829i 1.02707 + 0.275204i 0.732747 0.680501i \(-0.238238\pi\)
0.294327 + 0.955705i \(0.404905\pi\)
\(158\) 6.24748 + 6.24748i 0.497022 + 0.497022i
\(159\) 12.7571 1.01170
\(160\) −0.366816 + 2.20578i −0.0289993 + 0.174382i
\(161\) −0.114542 0.427475i −0.00902714 0.0336897i
\(162\) −7.69996 −0.604966
\(163\) 3.89013 2.24597i 0.304699 0.175918i −0.339853 0.940479i \(-0.610377\pi\)
0.644552 + 0.764561i \(0.277044\pi\)
\(164\) −7.78143 + 4.49261i −0.607628 + 0.350814i
\(165\) 15.9451 11.3980i 1.24132 0.887333i
\(166\) 12.0271 3.22265i 0.933483 0.250126i
\(167\) 3.82275 + 2.20707i 0.295813 + 0.170788i 0.640561 0.767908i \(-0.278702\pi\)
−0.344747 + 0.938696i \(0.612035\pi\)
\(168\) 1.61650 0.933284i 0.124715 0.0720044i
\(169\) −1.81837 3.14951i −0.139874 0.242270i
\(170\) −8.59056 1.42859i −0.658866 0.109568i
\(171\) −1.63143 + 1.63143i −0.124759 + 0.124759i
\(172\) −0.786233 + 1.36180i −0.0599497 + 0.103836i
\(173\) 19.6886 + 5.27554i 1.49690 + 0.401092i 0.912059 0.410058i \(-0.134492\pi\)
0.584837 + 0.811151i \(0.301158\pi\)
\(174\) 13.3152i 1.00942i
\(175\) −4.79045 3.21705i −0.362124 0.243186i
\(176\) −4.69349 + 2.70979i −0.353785 + 0.204258i
\(177\) 17.7768 1.33619
\(178\) −3.83268 14.3038i −0.287272 1.07211i
\(179\) 14.7689 14.7689i 1.10388 1.10388i 0.109943 0.993938i \(-0.464933\pi\)
0.993938 0.109943i \(-0.0350667\pi\)
\(180\) −0.301646 0.804295i −0.0224833 0.0599486i
\(181\) −2.80922 + 4.86571i −0.208808 + 0.361665i −0.951339 0.308146i \(-0.900292\pi\)
0.742532 + 0.669811i \(0.233625\pi\)
\(182\) −1.21834 4.54690i −0.0903093 0.337039i
\(183\) 7.19059 + 12.4545i 0.531544 + 0.920661i
\(184\) −0.383468 −0.0282696
\(185\) −9.26076 + 9.96185i −0.680864 + 0.732410i
\(186\) −7.84823 −0.575460
\(187\) −10.5535 18.2792i −0.771747 1.33671i
\(188\) −1.12276 4.19020i −0.0818857 0.305602i
\(189\) −3.15838 + 5.47047i −0.229738 + 0.397918i
\(190\) 12.2260 + 5.55672i 0.886968 + 0.403126i
\(191\) 6.46180 6.46180i 0.467559 0.467559i −0.433564 0.901123i \(-0.642744\pi\)
0.901123 + 0.433564i \(0.142744\pi\)
\(192\) −0.418603 1.56225i −0.0302101 0.112745i
\(193\) 10.6806 0.768808 0.384404 0.923165i \(-0.374407\pi\)
0.384404 + 0.923165i \(0.374407\pi\)
\(194\) −3.79607 + 2.19166i −0.272542 + 0.157352i
\(195\) 14.6818 1.42876i 1.05138 0.102315i
\(196\) 5.66809i 0.404863i
\(197\) −1.67820 0.449673i −0.119567 0.0320379i 0.198539 0.980093i \(-0.436380\pi\)
−0.318106 + 0.948055i \(0.603047\pi\)
\(198\) 1.04098 1.80304i 0.0739794 0.128136i
\(199\) 10.8607 10.8607i 0.769891 0.769891i −0.208196 0.978087i \(-0.566759\pi\)
0.978087 + 0.208196i \(0.0667591\pi\)
\(200\) −3.76687 + 3.28796i −0.266358 + 0.232494i
\(201\) −8.38793 14.5283i −0.591639 1.02475i
\(202\) −6.90979 + 3.98937i −0.486171 + 0.280691i
\(203\) 8.22828 + 4.75060i 0.577512 + 0.333427i
\(204\) 6.08429 1.63028i 0.425985 0.114142i
\(205\) −19.8194 3.29592i −1.38425 0.230197i
\(206\) −4.06296 + 2.34575i −0.283080 + 0.163436i
\(207\) 0.127576 0.0736558i 0.00886711 0.00511943i
\(208\) −4.07882 −0.282815
\(209\) 8.42438 + 31.4402i 0.582727 + 2.17477i
\(210\) 4.11723 + 0.684687i 0.284116 + 0.0472479i
\(211\) 15.7228 1.08240 0.541200 0.840894i \(-0.317970\pi\)
0.541200 + 0.840894i \(0.317970\pi\)
\(212\) −5.57738 5.57738i −0.383056 0.383056i
\(213\) −7.56989 2.02834i −0.518680 0.138980i
\(214\) 2.37202 2.37202i 0.162148 0.162148i
\(215\) −3.29222 + 1.23473i −0.224528 + 0.0842076i
\(216\) 3.87027 + 3.87027i 0.263339 + 0.263339i
\(217\) −2.80010 + 4.84992i −0.190083 + 0.329234i
\(218\) 8.06551 2.16115i 0.546265 0.146371i
\(219\) −19.0371 10.9911i −1.28641 0.742709i
\(220\) −11.9544 1.98799i −0.805964 0.134030i
\(221\) 15.8853i 1.06856i
\(222\) 3.11667 9.33127i 0.209177 0.626274i
\(223\) −7.88096 7.88096i −0.527748 0.527748i 0.392152 0.919900i \(-0.371731\pi\)
−0.919900 + 0.392152i \(0.871731\pi\)
\(224\) −1.11476 0.298699i −0.0744831 0.0199577i
\(225\) 0.621652 1.81740i 0.0414435 0.121160i
\(226\) 5.90335 + 3.40830i 0.392685 + 0.226717i
\(227\) 3.07951 + 1.77796i 0.204394 + 0.118007i 0.598704 0.800971i \(-0.295683\pi\)
−0.394309 + 0.918978i \(0.629016\pi\)
\(228\) −9.71364 −0.643302
\(229\) 11.7656 + 6.79287i 0.777492 + 0.448885i 0.835541 0.549428i \(-0.185154\pi\)
−0.0580484 + 0.998314i \(0.518488\pi\)
\(230\) −0.662191 0.544739i −0.0436636 0.0359190i
\(231\) 5.05801 + 8.76072i 0.332792 + 0.576413i
\(232\) 5.82137 5.82137i 0.382192 0.382192i
\(233\) −7.60963 + 7.60963i −0.498523 + 0.498523i −0.910978 0.412455i \(-0.864672\pi\)
0.412455 + 0.910978i \(0.364672\pi\)
\(234\) 1.35698 0.783451i 0.0887084 0.0512158i
\(235\) 4.01359 8.83079i 0.261818 0.576057i
\(236\) −7.77200 7.77200i −0.505914 0.505914i
\(237\) −7.14489 12.3753i −0.464110 0.803863i
\(238\) 1.16331 4.34152i 0.0754060 0.281419i
\(239\) −5.53867 + 20.6706i −0.358267 + 1.33707i 0.518056 + 0.855347i \(0.326656\pi\)
−0.876323 + 0.481724i \(0.840011\pi\)
\(240\) 1.49640 3.29242i 0.0965923 0.212525i
\(241\) −1.88845 7.04781i −0.121646 0.453989i 0.878052 0.478565i \(-0.158843\pi\)
−0.999698 + 0.0245762i \(0.992176\pi\)
\(242\) −9.18593 15.9105i −0.590494 1.02277i
\(243\) −3.83143 1.02663i −0.245786 0.0658583i
\(244\) 2.30136 8.58880i 0.147330 0.549841i
\(245\) −8.05186 + 9.78794i −0.514414 + 0.625328i
\(246\) 14.0371 3.76124i 0.894975 0.239808i
\(247\) −6.34025 + 23.6621i −0.403420 + 1.50559i
\(248\) 3.43124 + 3.43124i 0.217884 + 0.217884i
\(249\) −20.1383 −1.27621
\(250\) −11.1756 + 0.326747i −0.706805 + 0.0206653i
\(251\) 4.53943 + 4.53943i 0.286526 + 0.286526i 0.835705 0.549179i \(-0.185059\pi\)
−0.549179 + 0.835705i \(0.685059\pi\)
\(252\) 0.428242 0.114747i 0.0269767 0.00722839i
\(253\) 2.07823i 0.130657i
\(254\) 0.401127 + 1.49703i 0.0251690 + 0.0939319i
\(255\) 12.8226 + 5.82785i 0.802980 + 0.364954i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 10.8740 6.27813i 0.678304 0.391619i −0.120912 0.992663i \(-0.538582\pi\)
0.799216 + 0.601044i \(0.205248\pi\)
\(258\) 1.79834 1.79834i 0.111960 0.111960i
\(259\) −4.65441 5.25521i −0.289211 0.326543i
\(260\) −7.04350 5.79420i −0.436819 0.359341i
\(261\) −0.818549 + 3.05487i −0.0506669 + 0.189091i
\(262\) −14.0708 + 3.77026i −0.869296 + 0.232927i
\(263\) 1.78743 + 6.67077i 0.110218 + 0.411337i 0.998885 0.0472153i \(-0.0150347\pi\)
−0.888667 + 0.458553i \(0.848368\pi\)
\(264\) 8.46672 2.26865i 0.521091 0.139626i
\(265\) −1.70830 17.5543i −0.104940 1.07835i
\(266\) −3.46564 + 6.00267i −0.212492 + 0.368047i
\(267\) 23.9504i 1.46574i
\(268\) −2.68457 + 10.0190i −0.163986 + 0.612005i
\(269\) 25.0622i 1.52807i −0.645174 0.764036i \(-0.723215\pi\)
0.645174 0.764036i \(-0.276785\pi\)
\(270\) 1.18543 + 12.1813i 0.0721427 + 0.741332i
\(271\) 8.90741 + 15.4281i 0.541087 + 0.937189i 0.998842 + 0.0481113i \(0.0153202\pi\)
−0.457755 + 0.889078i \(0.651346\pi\)
\(272\) −3.37280 1.94729i −0.204506 0.118072i
\(273\) 7.61339i 0.460783i
\(274\) −11.6306 3.11641i −0.702629 0.188269i
\(275\) −17.8194 20.4149i −1.07455 1.23106i
\(276\) 0.599071 + 0.160521i 0.0360599 + 0.00966221i
\(277\) −7.89869 + 13.6809i −0.474586 + 0.822008i −0.999576 0.0291008i \(-0.990736\pi\)
0.524990 + 0.851108i \(0.324069\pi\)
\(278\) 5.04939 8.74580i 0.302842 0.524538i
\(279\) −1.80060 0.482470i −0.107799 0.0288847i
\(280\) −1.50070 2.09939i −0.0896842 0.125463i
\(281\) 9.74564 + 2.61134i 0.581376 + 0.155779i 0.537509 0.843258i \(-0.319366\pi\)
0.0438671 + 0.999037i \(0.486032\pi\)
\(282\) 7.01612i 0.417804i
\(283\) −16.0443 9.26316i −0.953733 0.550638i −0.0594941 0.998229i \(-0.518949\pi\)
−0.894238 + 0.447591i \(0.852282\pi\)
\(284\) 2.42276 + 4.19634i 0.143764 + 0.249007i
\(285\) −16.7740 13.7988i −0.993606 0.817371i
\(286\) 22.1055i 1.30712i
\(287\) 2.68388 10.0164i 0.158424 0.591248i
\(288\) 0.384156i 0.0226366i
\(289\) −0.916138 + 1.58680i −0.0538905 + 0.0933410i
\(290\) 18.3223 1.78303i 1.07592 0.104703i
\(291\) 6.84784 1.83487i 0.401428 0.107562i
\(292\) 3.51772 + 13.1283i 0.205859 + 0.768276i
\(293\) −8.84889 + 2.37105i −0.516957 + 0.138518i −0.507859 0.861440i \(-0.669563\pi\)
−0.00909855 + 0.999959i \(0.502896\pi\)
\(294\) 2.37268 8.85495i 0.138377 0.516431i
\(295\) −2.38049 24.4617i −0.138597 1.42421i
\(296\) −5.44223 + 2.71702i −0.316323 + 0.157923i
\(297\) −20.9752 + 20.9752i −1.21711 + 1.21711i
\(298\) 6.23713 3.60101i 0.361307 0.208601i
\(299\) 0.782047 1.35455i 0.0452270 0.0783354i
\(300\) 7.26113 3.55978i 0.419222 0.205524i
\(301\) −0.469695 1.75292i −0.0270727 0.101037i
\(302\) 6.72545i 0.387006i
\(303\) 12.4648 3.33992i 0.716082 0.191874i
\(304\) 4.24679 + 4.24679i 0.243570 + 0.243570i
\(305\) 16.1750 11.5623i 0.926178 0.662058i
\(306\) 1.49613 0.0855278
\(307\) −24.1075 24.1075i −1.37589 1.37589i −0.851450 0.524435i \(-0.824276\pi\)
−0.524435 0.851450i \(-0.675724\pi\)
\(308\) 1.61882 6.04153i 0.0922411 0.344248i
\(309\) 7.32928 1.96388i 0.416948 0.111721i
\(310\) 1.05095 + 10.7995i 0.0596902 + 0.613371i
\(311\) −6.07987 + 22.6904i −0.344758 + 1.28665i 0.548137 + 0.836389i \(0.315337\pi\)
−0.892895 + 0.450266i \(0.851329\pi\)
\(312\) 6.37212 + 1.70740i 0.360750 + 0.0966627i
\(313\) −6.03304 10.4495i −0.341008 0.590643i 0.643612 0.765352i \(-0.277435\pi\)
−0.984620 + 0.174709i \(0.944102\pi\)
\(314\) 3.44829 + 12.8692i 0.194598 + 0.726251i
\(315\) 0.902515 + 0.410193i 0.0508510 + 0.0231117i
\(316\) −2.28673 + 8.53421i −0.128639 + 0.480087i
\(317\) 4.10260 15.3111i 0.230425 0.859959i −0.749733 0.661741i \(-0.769818\pi\)
0.980158 0.198218i \(-0.0635154\pi\)
\(318\) 6.37854 + 11.0479i 0.357691 + 0.619538i
\(319\) 31.5494 + 31.5494i 1.76643 + 1.76643i
\(320\) −2.09367 + 0.785216i −0.117039 + 0.0438949i
\(321\) −4.69861 + 2.71274i −0.262251 + 0.151410i
\(322\) 0.312933 0.312933i 0.0174391 0.0174391i
\(323\) −16.5395 + 16.5395i −0.920280 + 0.920280i
\(324\) −3.84998 6.66836i −0.213888 0.370464i
\(325\) −3.93206 20.0114i −0.218112 1.11003i
\(326\) 3.89013 + 2.24597i 0.215454 + 0.124393i
\(327\) −13.5050 −0.746827
\(328\) −7.78143 4.49261i −0.429658 0.248063i
\(329\) 4.33570 + 2.50322i 0.239035 + 0.138007i
\(330\) 17.8435 + 8.10986i 0.982253 + 0.446433i
\(331\) 0.522368 + 0.139968i 0.0287119 + 0.00769334i 0.273146 0.961972i \(-0.411936\pi\)
−0.244434 + 0.969666i \(0.578602\pi\)
\(332\) 8.80443 + 8.80443i 0.483206 + 0.483206i
\(333\) 1.28869 1.94925i 0.0706197 0.106818i
\(334\) 4.41413i 0.241531i
\(335\) −18.8684 + 13.4876i −1.03089 + 0.736909i
\(336\) 1.61650 + 0.933284i 0.0881870 + 0.0509148i
\(337\) 26.6162 7.13180i 1.44988 0.388494i 0.553897 0.832585i \(-0.313140\pi\)
0.895981 + 0.444092i \(0.146474\pi\)
\(338\) 1.81837 3.14951i 0.0989062 0.171311i
\(339\) −7.79576 7.79576i −0.423408 0.423408i
\(340\) −3.05808 8.15394i −0.165848 0.442210i
\(341\) −18.5959 + 18.5959i −1.00702 + 1.00702i
\(342\) −2.22858 0.597146i −0.120508 0.0322899i
\(343\) −10.3379 10.3379i −0.558196 0.558196i
\(344\) −1.57247 −0.0847817
\(345\) 0.806477 + 1.12821i 0.0434193 + 0.0607409i
\(346\) 5.27554 + 19.6886i 0.283615 + 1.05847i
\(347\) 2.69381 0.144611 0.0723056 0.997383i \(-0.476964\pi\)
0.0723056 + 0.997383i \(0.476964\pi\)
\(348\) −11.5313 + 6.65758i −0.618141 + 0.356884i
\(349\) −13.6101 + 7.85782i −0.728535 + 0.420620i −0.817886 0.575381i \(-0.804854\pi\)
0.0893513 + 0.996000i \(0.471521\pi\)
\(350\) 0.390822 5.75718i 0.0208903 0.307734i
\(351\) −21.5642 + 5.77812i −1.15101 + 0.308413i
\(352\) −4.69349 2.70979i −0.250164 0.144432i
\(353\) −10.2119 + 5.89584i −0.543525 + 0.313804i −0.746506 0.665378i \(-0.768270\pi\)
0.202982 + 0.979183i \(0.434937\pi\)
\(354\) 8.88841 + 15.3952i 0.472413 + 0.818244i
\(355\) −1.77741 + 10.6881i −0.0943351 + 0.567266i
\(356\) 10.4711 10.4711i 0.554967 0.554967i
\(357\) −3.63475 + 6.29556i −0.192371 + 0.333197i
\(358\) 20.1747 + 5.40580i 1.06627 + 0.285705i
\(359\) 12.6671i 0.668543i 0.942477 + 0.334272i \(0.108490\pi\)
−0.942477 + 0.334272i \(0.891510\pi\)
\(360\) 0.545717 0.663380i 0.0287618 0.0349632i
\(361\) 14.7835 8.53525i 0.778079 0.449224i
\(362\) −5.61844 −0.295299
\(363\) 7.69051 + 28.7014i 0.403647 + 1.50643i
\(364\) 3.32856 3.32856i 0.174464 0.174464i
\(365\) −12.5750 + 27.6677i −0.658204 + 1.44820i
\(366\) −7.19059 + 12.4545i −0.375858 + 0.651005i
\(367\) 5.34154 + 19.9349i 0.278826 + 1.04059i 0.953234 + 0.302234i \(0.0977324\pi\)
−0.674408 + 0.738359i \(0.735601\pi\)
\(368\) −0.191734 0.332093i −0.00999482 0.0173115i
\(369\) 3.45173 0.179690
\(370\) −13.2576 3.03913i −0.689229 0.157997i
\(371\) 9.10297 0.472603
\(372\) −3.92412 6.79677i −0.203456 0.352396i
\(373\) 8.93048 + 33.3290i 0.462403 + 1.72571i 0.665360 + 0.746523i \(0.268278\pi\)
−0.202957 + 0.979188i \(0.565055\pi\)
\(374\) 10.5535 18.2792i 0.545708 0.945193i
\(375\) 17.5958 + 4.16766i 0.908642 + 0.215217i
\(376\) 3.06744 3.06744i 0.158191 0.158191i
\(377\) 8.69102 + 32.4353i 0.447610 + 1.67050i
\(378\) −6.31676 −0.324899
\(379\) 4.64897 2.68408i 0.238802 0.137872i −0.375824 0.926691i \(-0.622640\pi\)
0.614626 + 0.788819i \(0.289307\pi\)
\(380\) 1.30075 + 13.3664i 0.0667271 + 0.685682i
\(381\) 2.50664i 0.128419i
\(382\) 8.82698 + 2.36518i 0.451628 + 0.121013i
\(383\) 17.0195 29.4786i 0.869656 1.50629i 0.00730659 0.999973i \(-0.497674\pi\)
0.862349 0.506314i \(-0.168992\pi\)
\(384\) 1.14364 1.14364i 0.0583613 0.0583613i
\(385\) 11.3778 8.13319i 0.579868 0.414506i
\(386\) 5.34031 + 9.24969i 0.271815 + 0.470797i
\(387\) 0.523143 0.302036i 0.0265928 0.0153534i
\(388\) −3.79607 2.19166i −0.192716 0.111265i
\(389\) 17.5552 4.70391i 0.890086 0.238498i 0.215332 0.976541i \(-0.430917\pi\)
0.674754 + 0.738043i \(0.264250\pi\)
\(390\) 8.57822 + 12.0004i 0.434375 + 0.607664i
\(391\) 1.29336 0.746722i 0.0654081 0.0377634i
\(392\) −4.90871 + 2.83404i −0.247927 + 0.143141i
\(393\) 23.5603 1.18846
\(394\) −0.449673 1.67820i −0.0226542 0.0845466i
\(395\) −16.0722 + 11.4889i −0.808680 + 0.578067i
\(396\) 2.08197 0.104623
\(397\) −22.8690 22.8690i −1.14776 1.14776i −0.986992 0.160770i \(-0.948602\pi\)
−0.160770 0.986992i \(-0.551398\pi\)
\(398\) 14.8359 + 3.97528i 0.743658 + 0.199263i
\(399\) 7.92693 7.92693i 0.396843 0.396843i
\(400\) −4.73089 1.61823i −0.236545 0.0809113i
\(401\) 18.7127 + 18.7127i 0.934468 + 0.934468i 0.997981 0.0635130i \(-0.0202304\pi\)
−0.0635130 + 0.997981i \(0.520230\pi\)
\(402\) 8.38793 14.5283i 0.418352 0.724607i
\(403\) −19.1181 + 5.12267i −0.952338 + 0.255178i
\(404\) −6.90979 3.98937i −0.343775 0.198479i
\(405\) 2.82447 16.9844i 0.140349 0.843960i
\(406\) 9.50120i 0.471537i
\(407\) −14.7251 29.4946i −0.729896 1.46199i
\(408\) 4.45401 + 4.45401i 0.220506 + 0.220506i
\(409\) −33.4605 8.96573i −1.65452 0.443327i −0.693645 0.720317i \(-0.743996\pi\)
−0.960873 + 0.276990i \(0.910663\pi\)
\(410\) −7.05534 18.8121i −0.348438 0.929061i
\(411\) 16.8653 + 9.73719i 0.831905 + 0.480300i
\(412\) −4.06296 2.34575i −0.200168 0.115567i
\(413\) 12.6849 0.624181
\(414\) 0.127576 + 0.0736558i 0.00626999 + 0.00361998i
\(415\) 2.69671 + 27.7112i 0.132376 + 1.36029i
\(416\) −2.03941 3.53236i −0.0999902 0.173188i
\(417\) −11.5494 + 11.5494i −0.565577 + 0.565577i
\(418\) −23.0158 + 23.0158i −1.12574 + 1.12574i
\(419\) −15.3378 + 8.85527i −0.749300 + 0.432608i −0.825441 0.564489i \(-0.809073\pi\)
0.0761412 + 0.997097i \(0.475740\pi\)
\(420\) 1.46566 + 3.90797i 0.0715168 + 0.190689i
\(421\) −12.5994 12.5994i −0.614057 0.614057i 0.329944 0.944001i \(-0.392970\pi\)
−0.944001 + 0.329944i \(0.892970\pi\)
\(422\) 7.86139 + 13.6163i 0.382686 + 0.662832i
\(423\) −0.431315 + 1.60969i −0.0209713 + 0.0782659i
\(424\) 2.04146 7.61884i 0.0991422 0.370004i
\(425\) 6.30231 18.4248i 0.305707 0.893735i
\(426\) −2.02834 7.56989i −0.0982736 0.366762i
\(427\) 5.13093 + 8.88704i 0.248303 + 0.430074i
\(428\) 3.24023 + 0.868218i 0.156623 + 0.0419669i
\(429\) −9.25341 + 34.5342i −0.446759 + 1.66733i
\(430\) −2.71541 2.23378i −0.130949 0.107723i
\(431\) −10.8241 + 2.90031i −0.521380 + 0.139703i −0.509905 0.860231i \(-0.670319\pi\)
−0.0114749 + 0.999934i \(0.503653\pi\)
\(432\) −1.41662 + 5.28689i −0.0681570 + 0.254366i
\(433\) −3.62400 3.62400i −0.174158 0.174158i 0.614645 0.788804i \(-0.289299\pi\)
−0.788804 + 0.614645i \(0.789299\pi\)
\(434\) −5.60020 −0.268818
\(435\) −29.3703 4.88421i −1.40820 0.234180i
\(436\) 5.90436 + 5.90436i 0.282768 + 0.282768i
\(437\) −2.22458 + 0.596075i −0.106416 + 0.0285142i
\(438\) 21.9822i 1.05035i
\(439\) −4.65935 17.3889i −0.222378 0.829928i −0.983438 0.181245i \(-0.941987\pi\)
0.761059 0.648682i \(-0.224680\pi\)
\(440\) −4.25554 11.3468i −0.202875 0.540937i
\(441\) 1.08872 1.88571i 0.0518436 0.0897957i
\(442\) 13.7570 7.94263i 0.654356 0.377792i
\(443\) −9.53895 + 9.53895i −0.453209 + 0.453209i −0.896418 0.443209i \(-0.853840\pi\)
0.443209 + 0.896418i \(0.353840\pi\)
\(444\) 9.63945 1.96652i 0.457468 0.0933270i
\(445\) 32.9568 3.20719i 1.56230 0.152035i
\(446\) 2.88463 10.7656i 0.136591 0.509766i
\(447\) −11.2513 + 3.01478i −0.532169 + 0.142594i
\(448\) −0.298699 1.11476i −0.0141122 0.0526675i
\(449\) 20.0298 5.36698i 0.945267 0.253283i 0.246914 0.969037i \(-0.420583\pi\)
0.698353 + 0.715754i \(0.253917\pi\)
\(450\) 1.88474 0.370335i 0.0888476 0.0174577i
\(451\) 24.3481 42.1721i 1.14651 1.98581i
\(452\) 6.81660i 0.320626i
\(453\) 2.81529 10.5068i 0.132274 0.493653i
\(454\) 3.55591i 0.166887i
\(455\) 10.4764 1.01951i 0.491139 0.0477952i
\(456\) −4.85682 8.41226i −0.227441 0.393940i
\(457\) −3.68504 2.12756i −0.172379 0.0995230i 0.411328 0.911487i \(-0.365065\pi\)
−0.583707 + 0.811964i \(0.698398\pi\)
\(458\) 13.5857i 0.634820i
\(459\) −20.5902 5.51712i −0.961068 0.257517i
\(460\) 0.140662 0.845844i 0.00655840 0.0394377i
\(461\) 22.9371 + 6.14596i 1.06829 + 0.286246i 0.749788 0.661678i \(-0.230155\pi\)
0.318497 + 0.947924i \(0.396822\pi\)
\(462\) −5.05801 + 8.76072i −0.235320 + 0.407586i
\(463\) −13.1877 + 22.8418i −0.612886 + 1.06155i 0.377866 + 0.925860i \(0.376658\pi\)
−0.990752 + 0.135689i \(0.956675\pi\)
\(464\) 7.95215 + 2.13077i 0.369169 + 0.0989186i
\(465\) 2.87886 17.3114i 0.133504 0.802799i
\(466\) −10.3949 2.78532i −0.481537 0.129027i
\(467\) 4.82320i 0.223191i −0.993754 0.111596i \(-0.964404\pi\)
0.993754 0.111596i \(-0.0355961\pi\)
\(468\) 1.35698 + 0.783451i 0.0627263 + 0.0362150i
\(469\) −5.98531 10.3669i −0.276376 0.478697i
\(470\) 9.65449 0.939526i 0.445328 0.0433371i
\(471\) 21.5483i 0.992895i
\(472\) 2.84475 10.6168i 0.130940 0.488676i
\(473\) 8.52211i 0.391847i
\(474\) 7.14489 12.3753i 0.328176 0.568417i
\(475\) −16.7416 + 24.9296i −0.768156 + 1.14385i
\(476\) 4.34152 1.16331i 0.198993 0.0533201i
\(477\) 0.784240 + 2.92683i 0.0359079 + 0.134010i
\(478\) −20.6706 + 5.53867i −0.945452 + 0.253333i
\(479\) 10.5344 39.3150i 0.481330 1.79635i −0.114716 0.993398i \(-0.536596\pi\)
0.596046 0.802950i \(-0.296738\pi\)
\(480\) 3.59952 0.350287i 0.164295 0.0159883i
\(481\) 1.50144 24.7650i 0.0684598 1.12919i
\(482\) 5.15935 5.15935i 0.235002 0.235002i
\(483\) −0.619874 + 0.357884i −0.0282052 + 0.0162843i
\(484\) 9.18593 15.9105i 0.417542 0.723204i
\(485\) −3.44186 9.17722i −0.156287 0.416716i
\(486\) −1.02663 3.83143i −0.0465688 0.173797i
\(487\) 14.0068i 0.634709i 0.948307 + 0.317355i \(0.102795\pi\)
−0.948307 + 0.317355i \(0.897205\pi\)
\(488\) 8.58880 2.30136i 0.388797 0.104178i
\(489\) −5.13718 5.13718i −0.232311 0.232311i
\(490\) −12.5025 2.07914i −0.564807 0.0939262i
\(491\) 14.8170 0.668683 0.334342 0.942452i \(-0.391486\pi\)
0.334342 + 0.942452i \(0.391486\pi\)
\(492\) 10.2759 + 10.2759i 0.463273 + 0.463273i
\(493\) −8.29845 + 30.9702i −0.373743 + 1.39483i
\(494\) −23.6621 + 6.34025i −1.06461 + 0.285261i
\(495\) 3.59524 + 2.95756i 0.161594 + 0.132932i
\(496\) −1.25592 + 4.68716i −0.0563925 + 0.210460i
\(497\) −5.40159 1.44735i −0.242294 0.0649225i
\(498\) −10.0691 17.4403i −0.451209 0.781517i
\(499\) 8.81869 + 32.9118i 0.394779 + 1.47333i 0.822157 + 0.569261i \(0.192771\pi\)
−0.427378 + 0.904073i \(0.640563\pi\)
\(500\) −5.87075 9.51495i −0.262548 0.425521i
\(501\) 1.84777 6.89596i 0.0825522 0.308089i
\(502\) −1.66155 + 6.20098i −0.0741585 + 0.276763i
\(503\) −7.13645 12.3607i −0.318199 0.551136i 0.661914 0.749580i \(-0.269745\pi\)
−0.980112 + 0.198444i \(0.936411\pi\)
\(504\) 0.313495 + 0.313495i 0.0139642 + 0.0139642i
\(505\) −6.26503 16.7048i −0.278790 0.743354i
\(506\) 1.79980 1.03912i 0.0800110 0.0461944i
\(507\) −4.15913 + 4.15913i −0.184714 + 0.184714i
\(508\) −1.09590 + 1.09590i −0.0486227 + 0.0486227i
\(509\) 8.11064 + 14.0480i 0.359498 + 0.622669i 0.987877 0.155239i \(-0.0496147\pi\)
−0.628379 + 0.777907i \(0.716281\pi\)
\(510\) 1.36422 + 14.0186i 0.0604087 + 0.620754i
\(511\) −13.5842 7.84283i −0.600929 0.346946i
\(512\) −1.00000 −0.0441942
\(513\) 28.4684 + 16.4362i 1.25691 + 0.725678i
\(514\) 10.8740 + 6.27813i 0.479633 + 0.276917i
\(515\) −3.68384 9.82243i −0.162329 0.432828i
\(516\) 2.45658 + 0.658239i 0.108145 + 0.0289774i
\(517\) 16.6242 + 16.6242i 0.731133 + 0.731133i
\(518\) 2.22394 6.65844i 0.0977142 0.292555i
\(519\) 32.9668i 1.44708i
\(520\) 1.49617 8.99695i 0.0656116 0.394542i
\(521\) −13.4673 7.77533i −0.590012 0.340643i 0.175090 0.984552i \(-0.443978\pi\)
−0.765102 + 0.643909i \(0.777312\pi\)
\(522\) −3.05487 + 0.818549i −0.133708 + 0.0358269i
\(523\) −13.9061 + 24.0862i −0.608073 + 1.05321i 0.383484 + 0.923547i \(0.374724\pi\)
−0.991558 + 0.129666i \(0.958609\pi\)
\(524\) −10.3005 10.3005i −0.449981 0.449981i
\(525\) −3.02053 + 8.83053i −0.131827 + 0.385396i
\(526\) −4.88334 + 4.88334i −0.212924 + 0.212924i
\(527\) −18.2545 4.89128i −0.795178 0.213067i
\(528\) 6.19807 + 6.19807i 0.269736 + 0.269736i
\(529\) −22.8530 −0.993607
\(530\) 14.3483 10.2566i 0.623251 0.445517i
\(531\) 1.09283 + 4.07849i 0.0474247 + 0.176991i
\(532\) −6.93129 −0.300509
\(533\) 31.7390 18.3245i 1.37477 0.793724i
\(534\) −20.7417 + 11.9752i −0.897579 + 0.518217i
\(535\) 4.36204 + 6.10223i 0.188587 + 0.263822i
\(536\) −10.0190 + 2.68457i −0.432753 + 0.115956i
\(537\) −29.2550 16.8904i −1.26245 0.728874i
\(538\) 21.7045 12.5311i 0.935749 0.540255i
\(539\) −15.3593 26.6031i −0.661573 1.14588i
\(540\) −9.95662 + 7.11727i −0.428465 + 0.306279i
\(541\) 1.73685 1.73685i 0.0746729 0.0746729i −0.668784 0.743457i \(-0.733185\pi\)
0.743457 + 0.668784i \(0.233185\pi\)
\(542\) −8.90741 + 15.4281i −0.382606 + 0.662693i
\(543\) 8.77739 + 2.35189i 0.376674 + 0.100929i
\(544\) 3.89458i 0.166979i
\(545\) 1.80845 + 18.5834i 0.0774654 + 0.796027i
\(546\) −6.59339 + 3.80669i −0.282171 + 0.162911i
\(547\) −7.95342 −0.340064 −0.170032 0.985439i \(-0.554387\pi\)
−0.170032 + 0.985439i \(0.554387\pi\)
\(548\) −3.11641 11.6306i −0.133126 0.496834i
\(549\) −2.41536 + 2.41536i −0.103085 + 0.103085i
\(550\) 8.77011 25.6395i 0.373959 1.09327i
\(551\) 24.7222 42.8201i 1.05320 1.82420i
\(552\) 0.160521 + 0.599071i 0.00683221 + 0.0254982i
\(553\) −5.09832 8.83056i −0.216803 0.375513i
\(554\) −15.7974 −0.671166
\(555\) 19.4394 + 10.2975i 0.825158 + 0.437106i
\(556\) 10.0988 0.428284
\(557\) −13.6937 23.7183i −0.580223 1.00498i −0.995453 0.0952586i \(-0.969632\pi\)
0.415230 0.909716i \(-0.363701\pi\)
\(558\) −0.482470 1.80060i −0.0204246 0.0762255i
\(559\) 3.20690 5.55452i 0.135637 0.234931i
\(560\) 1.06778 2.34934i 0.0451217 0.0992779i
\(561\) −24.1389 + 24.1389i −1.01914 + 1.01914i
\(562\) 2.61134 + 9.74564i 0.110153 + 0.411095i
\(563\) −3.30187 −0.139157 −0.0695785 0.997576i \(-0.522165\pi\)
−0.0695785 + 0.997576i \(0.522165\pi\)
\(564\) −6.07614 + 3.50806i −0.255851 + 0.147716i
\(565\) −9.68338 + 11.7712i −0.407383 + 0.495220i
\(566\) 18.5263i 0.778719i
\(567\) 8.58361 + 2.29997i 0.360478 + 0.0965897i
\(568\) −2.42276 + 4.19634i −0.101657 + 0.176074i
\(569\) 9.43733 9.43733i 0.395633 0.395633i −0.481056 0.876690i \(-0.659747\pi\)
0.876690 + 0.481056i \(0.159747\pi\)
\(570\) 3.56312 21.4261i 0.149243 0.897441i
\(571\) −3.05157 5.28548i −0.127704 0.221190i 0.795083 0.606501i \(-0.207428\pi\)
−0.922787 + 0.385311i \(0.874094\pi\)
\(572\) 19.1439 11.0527i 0.800447 0.462138i
\(573\) −12.7999 7.39000i −0.534722 0.308722i
\(574\) 10.0164 2.68388i 0.418075 0.112023i
\(575\) 1.44447 1.26083i 0.0602387 0.0525801i
\(576\) 0.332689 0.192078i 0.0138620 0.00800325i
\(577\) −1.25068 + 0.722081i −0.0520665 + 0.0300606i −0.525807 0.850604i \(-0.676237\pi\)
0.473741 + 0.880664i \(0.342903\pi\)
\(578\) −1.83228 −0.0762126
\(579\) −4.47094 16.6858i −0.185806 0.693437i
\(580\) 10.7053 + 14.9760i 0.444512 + 0.621845i
\(581\) −14.3699 −0.596165
\(582\) 5.01297 + 5.01297i 0.207794 + 0.207794i
\(583\) 41.2909 + 11.0639i 1.71010 + 0.458219i
\(584\) −9.61059 + 9.61059i −0.397689 + 0.397689i
\(585\) 1.23036 + 3.28057i 0.0508690 + 0.135635i
\(586\) −6.47783 6.47783i −0.267597 0.267597i
\(587\) 4.55674 7.89250i 0.188077 0.325758i −0.756532 0.653956i \(-0.773108\pi\)
0.944609 + 0.328198i \(0.106441\pi\)
\(588\) 8.85495 2.37268i 0.365172 0.0978476i
\(589\) 25.2390 + 14.5718i 1.03996 + 0.600419i
\(590\) 19.9942 14.2924i 0.823148 0.588409i
\(591\) 2.81000i 0.115588i
\(592\) −5.07412 3.35460i −0.208545 0.137873i
\(593\) −12.0803 12.0803i −0.496078 0.496078i 0.414136 0.910215i \(-0.364084\pi\)
−0.910215 + 0.414136i \(0.864084\pi\)
\(594\) −28.6527 7.67747i −1.17564 0.315010i
\(595\) 9.14970 + 4.15853i 0.375101 + 0.170483i
\(596\) 6.23713 + 3.60101i 0.255483 + 0.147503i
\(597\) −21.5133 12.4207i −0.880482 0.508346i
\(598\) 1.56409 0.0639606
\(599\) −17.9905 10.3868i −0.735073 0.424395i 0.0852021 0.996364i \(-0.472846\pi\)
−0.820275 + 0.571969i \(0.806180\pi\)
\(600\) 6.71343 + 4.50843i 0.274075 + 0.184056i
\(601\) 14.4319 + 24.9968i 0.588690 + 1.01964i 0.994404 + 0.105641i \(0.0336893\pi\)
−0.405715 + 0.914000i \(0.632977\pi\)
\(602\) 1.28323 1.28323i 0.0523005 0.0523005i
\(603\) 2.81755 2.81755i 0.114740 0.114740i
\(604\) −5.82441 + 3.36272i −0.236992 + 0.136827i
\(605\) 38.4645 14.4259i 1.56380 0.586495i
\(606\) 9.12484 + 9.12484i 0.370671 + 0.370671i
\(607\) 22.1786 + 38.4145i 0.900203 + 1.55920i 0.827231 + 0.561863i \(0.189915\pi\)
0.0729719 + 0.997334i \(0.476752\pi\)
\(608\) −1.55443 + 5.80123i −0.0630406 + 0.235271i
\(609\) 3.97723 14.8432i 0.161165 0.601478i
\(610\) 18.1008 + 8.22679i 0.732879 + 0.333093i
\(611\) 4.57953 + 17.0911i 0.185268 + 0.691430i
\(612\) 0.748063 + 1.29568i 0.0302386 + 0.0523749i
\(613\) 11.0465 + 2.95989i 0.446163 + 0.119549i 0.474903 0.880038i \(-0.342483\pi\)
−0.0287405 + 0.999587i \(0.509150\pi\)
\(614\) 8.82394 32.9314i 0.356105 1.32900i
\(615\) 3.14741 + 32.3425i 0.126916 + 1.30417i
\(616\) 6.04153 1.61882i 0.243420 0.0652243i
\(617\) 1.82356 6.80561i 0.0734136 0.273983i −0.919455 0.393195i \(-0.871370\pi\)
0.992869 + 0.119211i \(0.0380365\pi\)
\(618\) 5.36541 + 5.36541i 0.215828 + 0.215828i
\(619\) 16.6861 0.670672 0.335336 0.942099i \(-0.391150\pi\)
0.335336 + 0.942099i \(0.391150\pi\)
\(620\) −8.82717 + 6.30991i −0.354508 + 0.253412i
\(621\) −1.48412 1.48412i −0.0595558 0.0595558i
\(622\) −22.6904 + 6.07987i −0.909802 + 0.243781i
\(623\) 17.0901i 0.684700i
\(624\) 1.70740 + 6.37212i 0.0683508 + 0.255089i
\(625\) 3.37864 24.7706i 0.135146 0.990826i
\(626\) 6.03304 10.4495i 0.241129 0.417647i
\(627\) 45.5909 26.3219i 1.82073 1.05120i
\(628\) −9.42091 + 9.42091i −0.375935 + 0.375935i
\(629\) 13.0647 19.7615i 0.520925 0.787944i
\(630\) 0.0960205 + 0.986697i 0.00382555 + 0.0393110i
\(631\) 0.508184 1.89657i 0.0202305 0.0755012i −0.955073 0.296372i \(-0.904223\pi\)
0.975303 + 0.220871i \(0.0708899\pi\)
\(632\) −8.53421 + 2.28673i −0.339473 + 0.0909614i
\(633\) −6.58160 24.5629i −0.261595 0.976286i
\(634\) 15.3111 4.10260i 0.608083 0.162935i
\(635\) −3.44925 + 0.335664i −0.136879 + 0.0133204i
\(636\) −6.37854 + 11.0479i −0.252925 + 0.438080i
\(637\) 23.1191i 0.916011i
\(638\) −11.5479 + 43.0973i −0.457185 + 1.70624i
\(639\) 1.86143i 0.0736372i
\(640\) −1.72685 1.42056i −0.0682597 0.0561525i
\(641\) −0.691853 1.19832i −0.0273265 0.0473309i 0.852039 0.523479i \(-0.175366\pi\)
−0.879365 + 0.476148i \(0.842033\pi\)
\(642\) −4.69861 2.71274i −0.185439 0.107063i
\(643\) 5.02728i 0.198256i −0.995075 0.0991282i \(-0.968395\pi\)
0.995075 0.0991282i \(-0.0316054\pi\)
\(644\) 0.427475 + 0.114542i 0.0168449 + 0.00451357i
\(645\) 3.30708 + 4.62640i 0.130216 + 0.182164i
\(646\) −22.5933 6.05386i −0.888922 0.238186i
\(647\) −19.6120 + 33.9690i −0.771029 + 1.33546i 0.165971 + 0.986131i \(0.446924\pi\)
−0.937000 + 0.349330i \(0.886409\pi\)
\(648\) 3.84998 6.66836i 0.151241 0.261958i
\(649\) 57.5384 + 15.4174i 2.25858 + 0.605184i
\(650\) 15.3644 13.4110i 0.602640 0.526022i
\(651\) 8.74890 + 2.34426i 0.342896 + 0.0918788i
\(652\) 4.49194i 0.175918i
\(653\) −9.91638 5.72522i −0.388058 0.224045i 0.293260 0.956033i \(-0.405260\pi\)
−0.681318 + 0.731987i \(0.738593\pi\)
\(654\) −6.75249 11.6957i −0.264043 0.457336i
\(655\) −3.15495 32.4200i −0.123274 1.26675i
\(656\) 8.98522i 0.350814i
\(657\) 1.35135 5.04332i 0.0527213 0.196759i
\(658\) 5.00644i 0.195171i
\(659\) −21.5298 + 37.2907i −0.838683 + 1.45264i 0.0523138 + 0.998631i \(0.483340\pi\)
−0.890996 + 0.454010i \(0.849993\pi\)
\(660\) 1.89841 + 19.5079i 0.0738955 + 0.759343i
\(661\) −35.8756 + 9.61285i −1.39540 + 0.373896i −0.876691 0.481054i \(-0.840254\pi\)
−0.518710 + 0.854950i \(0.673587\pi\)
\(662\) 0.139968 + 0.522368i 0.00544001 + 0.0203024i
\(663\) −24.8167 + 6.64961i −0.963801 + 0.258250i
\(664\) −3.22265 + 12.0271i −0.125063 + 0.466741i
\(665\) −11.9693 9.84631i −0.464149 0.381823i
\(666\) 2.33245 + 0.141411i 0.0903805 + 0.00547955i
\(667\) −2.23231 + 2.23231i −0.0864354 + 0.0864354i
\(668\) −3.82275 + 2.20707i −0.147907 + 0.0853939i
\(669\) −9.01302 + 15.6110i −0.348463 + 0.603556i
\(670\) −21.1148 9.59668i −0.815737 0.370752i
\(671\) 12.4724 + 46.5477i 0.481492 + 1.79695i
\(672\) 1.86657i 0.0720044i
\(673\) 23.5841 6.31935i 0.909102 0.243593i 0.226181 0.974085i \(-0.427376\pi\)
0.682921 + 0.730492i \(0.260709\pi\)
\(674\) 19.4844 + 19.4844i 0.750512 + 0.750512i
\(675\) −27.3041 1.85352i −1.05094 0.0713420i
\(676\) 3.63674 0.139874
\(677\) −26.0351 26.0351i −1.00061 1.00061i −1.00000 0.000608497i \(-0.999806\pi\)
−0.000608497 1.00000i \(-0.500194\pi\)
\(678\) 2.85345 10.6492i 0.109586 0.408980i
\(679\) 4.88636 1.30930i 0.187521 0.0502462i
\(680\) 5.53248 6.72535i 0.212161 0.257905i
\(681\) 1.48851 5.55521i 0.0570400 0.212876i
\(682\) −25.4024 6.80656i −0.972710 0.260637i
\(683\) −25.4771 44.1277i −0.974855 1.68850i −0.680413 0.732829i \(-0.738199\pi\)
−0.294442 0.955669i \(-0.595134\pi\)
\(684\) −0.597146 2.22858i −0.0228324 0.0852118i
\(685\) 11.1404 24.5113i 0.425652 0.936529i
\(686\) 3.78395 14.1219i 0.144472 0.539176i
\(687\) 5.68703 21.2243i 0.216974 0.809757i
\(688\) −0.786233 1.36180i −0.0299749 0.0519180i
\(689\) 22.7491 + 22.7491i 0.866672 + 0.866672i
\(690\) −0.573821 + 1.26254i −0.0218450 + 0.0480639i
\(691\) 15.6154 9.01555i 0.594038 0.342968i −0.172655 0.984982i \(-0.555234\pi\)
0.766692 + 0.642015i \(0.221901\pi\)
\(692\) −14.4131 + 14.4131i −0.547902 + 0.547902i
\(693\) −1.69901 + 1.69901i −0.0645401 + 0.0645401i
\(694\) 1.34690 + 2.33291i 0.0511278 + 0.0885559i
\(695\) 17.4391 + 14.3459i 0.661502 + 0.544172i
\(696\) −11.5313 6.65758i −0.437092 0.252355i
\(697\) 34.9936 1.32548
\(698\) −13.6101 7.85782i −0.515152 0.297423i
\(699\) 15.0735 + 8.70271i 0.570133 + 0.329167i
\(700\) 5.18127 2.54013i 0.195834 0.0960077i
\(701\) −6.34539 1.70024i −0.239662 0.0642173i 0.136989 0.990573i \(-0.456258\pi\)
−0.376651 + 0.926355i \(0.622924\pi\)
\(702\) −15.7861 15.7861i −0.595809 0.595809i
\(703\) −27.3482 + 24.2216i −1.03146 + 0.913536i
\(704\) 5.41958i 0.204258i
\(705\) −15.4760 2.57362i −0.582859 0.0969282i
\(706\) −10.2119 5.89584i −0.384330 0.221893i
\(707\) 8.89438 2.38324i 0.334508 0.0896311i
\(708\) −8.88841 + 15.3952i −0.334047 + 0.578586i
\(709\) −2.12914 2.12914i −0.0799615 0.0799615i 0.665995 0.745956i \(-0.268007\pi\)
−0.745956 + 0.665995i \(0.768007\pi\)
\(710\) −10.1449 + 3.80477i −0.380731 + 0.142791i
\(711\) 2.40001 2.40001i 0.0900073 0.0900073i
\(712\) 14.3038 + 3.83268i 0.536056 + 0.143636i
\(713\) −1.31577 1.31577i −0.0492759 0.0492759i
\(714\) −7.26949 −0.272054
\(715\) 48.7597 + 8.10864i 1.82351 + 0.303246i
\(716\) 5.40580 + 20.1747i 0.202024 + 0.753964i
\(717\) 34.6111 1.29258
\(718\) −10.9700 + 6.33354i −0.409397 + 0.236366i
\(719\) −14.1884 + 8.19165i −0.529137 + 0.305497i −0.740665 0.671875i \(-0.765489\pi\)
0.211528 + 0.977372i \(0.432156\pi\)
\(720\) 0.847362 + 0.140915i 0.0315793 + 0.00525158i
\(721\) 5.22990 1.40135i 0.194772 0.0521889i
\(722\) 14.7835 + 8.53525i 0.550185 + 0.317649i
\(723\) −10.2199 + 5.90046i −0.380082 + 0.219441i
\(724\) −2.80922 4.86571i −0.104404 0.180833i
\(725\) −2.78793 + 41.0688i −0.103541 + 1.52526i
\(726\) −21.0109 + 21.0109i −0.779786 + 0.779786i
\(727\) −10.0281 + 17.3691i −0.371920 + 0.644184i −0.989861 0.142040i \(-0.954634\pi\)
0.617941 + 0.786225i \(0.287967\pi\)
\(728\) 4.54690 + 1.21834i 0.168519 + 0.0451546i
\(729\) 29.5153i 1.09316i
\(730\) −30.2484 + 2.94363i −1.11955 + 0.108949i
\(731\) 5.30362 3.06205i 0.196161 0.113254i
\(732\) −14.3812 −0.531544
\(733\) 2.61340 + 9.75335i 0.0965283 + 0.360248i 0.997247 0.0741549i \(-0.0236259\pi\)
−0.900718 + 0.434403i \(0.856959\pi\)
\(734\) −14.5934 + 14.5934i −0.538651 + 0.538651i
\(735\) 18.6617 + 8.48173i 0.688347 + 0.312853i
\(736\) 0.191734 0.332093i 0.00706740 0.0122411i
\(737\) −14.5493 54.2986i −0.535929 2.00011i
\(738\) 1.72586 + 2.98929i 0.0635300 + 0.110037i
\(739\) −10.7871 −0.396811 −0.198405 0.980120i \(-0.563576\pi\)
−0.198405 + 0.980120i \(0.563576\pi\)
\(740\) −3.99684 13.0010i −0.146927 0.477925i
\(741\) 39.6201 1.45548
\(742\) 4.55148 + 7.88340i 0.167090 + 0.289409i
\(743\) −7.13337 26.6221i −0.261698 0.976669i −0.964241 0.265028i \(-0.914619\pi\)
0.702543 0.711641i \(-0.252048\pi\)
\(744\) 3.92412 6.79677i 0.143865 0.249182i
\(745\) 5.65514 + 15.0786i 0.207188 + 0.552437i
\(746\) −24.3985 + 24.3985i −0.893293 + 0.893293i
\(747\) −1.23800 4.62028i −0.0452960 0.169047i
\(748\) 21.1070 0.771747
\(749\) −3.35275 + 1.93571i −0.122507 + 0.0707293i
\(750\) 5.18858 + 17.3222i 0.189460 + 0.632518i
\(751\) 21.2874i 0.776790i 0.921493 + 0.388395i \(0.126970\pi\)
−0.921493 + 0.388395i \(0.873030\pi\)
\(752\) 4.19020 + 1.12276i 0.152801 + 0.0409429i
\(753\) 5.19149 8.99193i 0.189188 0.327684i
\(754\) −23.7443 + 23.7443i −0.864717 + 0.864717i
\(755\) −14.8348 2.46700i −0.539895 0.0897833i
\(756\) −3.15838 5.47047i −0.114869 0.198959i
\(757\) 26.0820 15.0584i 0.947966 0.547308i 0.0555175 0.998458i \(-0.482319\pi\)
0.892448 + 0.451149i \(0.148986\pi\)
\(758\) 4.64897 + 2.68408i 0.168858 + 0.0974904i
\(759\) −3.24672 + 0.869955i −0.117848 + 0.0315774i
\(760\) −10.9253 + 7.80968i −0.396301 + 0.283287i
\(761\) −38.3547 + 22.1441i −1.39036 + 0.802723i −0.993355 0.115094i \(-0.963283\pi\)
−0.397003 + 0.917817i \(0.629950\pi\)
\(762\) 2.17081 1.25332i 0.0786403 0.0454030i
\(763\) −9.63664 −0.348870
\(764\) 2.36518 + 8.82698i 0.0855693 + 0.319349i
\(765\) −0.548803 + 3.30012i −0.0198420 + 0.119316i
\(766\) 34.0390 1.22988
\(767\) 31.7006 + 31.7006i 1.14464 + 1.14464i
\(768\) 1.56225 + 0.418603i 0.0563727 + 0.0151050i
\(769\) 17.1063 17.1063i 0.616870 0.616870i −0.327857 0.944727i \(-0.606327\pi\)
0.944727 + 0.327857i \(0.106327\pi\)
\(770\) 12.7325 + 5.78689i 0.458846 + 0.208545i
\(771\) −14.3599 14.3599i −0.517159 0.517159i