Properties

Label 475.2.bc.a.6.13
Level $475$
Weight $2$
Character 475.6
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 6.13
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30322 - 0.814342i) q^{2} +(1.85231 - 0.531140i) q^{3} +(0.158485 + 0.324943i) q^{4} +(-0.982153 - 2.00882i) q^{5} +(-2.84649 - 0.816218i) q^{6} +(0.367774 - 0.637004i) q^{7} +(-0.263190 + 2.50409i) q^{8} +(0.604785 - 0.377912i) q^{9} +O(q^{10})\) \(q+(-1.30322 - 0.814342i) q^{2} +(1.85231 - 0.531140i) q^{3} +(0.158485 + 0.324943i) q^{4} +(-0.982153 - 2.00882i) q^{5} +(-2.84649 - 0.816218i) q^{6} +(0.367774 - 0.637004i) q^{7} +(-0.263190 + 2.50409i) q^{8} +(0.604785 - 0.377912i) q^{9} +(-0.355909 + 3.41775i) q^{10} +(1.34614 - 1.49504i) q^{11} +(0.466154 + 0.517716i) q^{12} +(-0.168125 - 4.81446i) q^{13} +(-0.998029 + 0.530661i) q^{14} +(-2.88622 - 3.19930i) q^{15} +(2.82734 - 3.61883i) q^{16} +(-1.55778 + 0.108930i) q^{17} -1.09592 q^{18} +(-4.25336 - 0.953362i) q^{19} +(0.497097 - 0.637513i) q^{20} +(0.342892 - 1.37527i) q^{21} +(-2.97179 + 0.852148i) q^{22} +(0.267146 - 0.0375450i) q^{23} +(0.842512 + 4.77812i) q^{24} +(-3.07075 + 3.94595i) q^{25} +(-3.70151 + 6.41121i) q^{26} +(-2.94863 + 3.27478i) q^{27} +(0.265277 + 0.0185500i) q^{28} +(-2.78965 - 0.195072i) q^{29} +(1.15605 + 6.51975i) q^{30} +(8.77582 - 3.90724i) q^{31} +(-1.89954 + 0.691376i) q^{32} +(1.69939 - 3.48426i) q^{33} +(2.11883 + 1.12660i) q^{34} +(-1.64084 - 0.113159i) q^{35} +(0.218649 + 0.136627i) q^{36} +(0.0553274 - 0.170280i) q^{37} +(4.76670 + 4.70613i) q^{38} +(-2.86857 - 8.82856i) q^{39} +(5.28876 - 1.93069i) q^{40} +(-1.24163 + 1.58921i) q^{41} +(-1.56680 + 1.51304i) q^{42} +(-1.18807 - 6.73786i) q^{43} +(0.699147 + 0.200477i) q^{44} +(-1.35315 - 0.843740i) q^{45} +(-0.378725 - 0.168619i) q^{46} +(-7.58492 - 0.530389i) q^{47} +(3.31499 - 8.20489i) q^{48} +(3.22948 + 5.59363i) q^{49} +(7.21521 - 2.64179i) q^{50} +(-2.82762 + 1.02917i) q^{51} +(1.53778 - 0.817653i) q^{52} +(0.654382 + 1.34168i) q^{53} +(6.50950 - 1.86657i) q^{54} +(-4.32539 - 1.23580i) q^{55} +(1.49832 + 1.08859i) q^{56} +(-8.38490 + 0.493214i) q^{57} +(3.47667 + 2.52595i) q^{58} +(5.18420 + 12.8313i) q^{59} +(0.582167 - 1.44490i) q^{60} +(5.15595 - 0.724621i) q^{61} +(-14.6186 - 2.05452i) q^{62} +(-0.0183067 - 0.524236i) q^{63} +(-5.94548 - 1.26375i) q^{64} +(-9.50629 + 5.06627i) q^{65} +(-5.05206 + 3.15688i) q^{66} +(-2.81032 - 11.2716i) q^{67} +(-0.282281 - 0.488925i) q^{68} +(0.474895 - 0.211437i) q^{69} +(2.04622 + 1.48367i) q^{70} +(0.224448 + 0.216747i) q^{71} +(0.787150 + 1.61390i) q^{72} +(0.397608 - 11.3860i) q^{73} +(-0.210770 + 0.176857i) q^{74} +(-3.59212 + 8.94010i) q^{75} +(-0.364307 - 1.53320i) q^{76} +(-0.457271 - 1.40733i) q^{77} +(-3.45109 + 13.8416i) q^{78} +(15.7669 - 4.52109i) q^{79} +(-10.0465 - 2.12538i) q^{80} +(-4.66026 + 9.55496i) q^{81} +(2.91228 - 1.05998i) q^{82} +(5.48069 - 2.44016i) q^{83} +(0.501226 - 0.106539i) q^{84} +(1.74880 + 3.02231i) q^{85} +(-3.93861 + 9.74840i) q^{86} +(-5.27090 + 1.12036i) q^{87} +(3.38942 + 3.76433i) q^{88} +(-5.66697 - 7.25339i) q^{89} +(1.07636 + 2.20150i) q^{90} +(-3.12866 - 1.66354i) q^{91} +(0.0545388 + 0.0808571i) q^{92} +(14.1802 - 11.8986i) q^{93} +(9.45289 + 6.86793i) q^{94} +(2.26232 + 9.48061i) q^{95} +(-3.15131 + 2.28956i) q^{96} +(0.373123 - 1.49651i) q^{97} +(0.346401 - 9.91963i) q^{98} +(0.249133 - 1.41290i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30322 0.814342i −0.921515 0.575827i −0.0158751 0.999874i \(-0.505053\pi\)
−0.905640 + 0.424047i \(0.860609\pi\)
\(3\) 1.85231 0.531140i 1.06943 0.306654i 0.305659 0.952141i \(-0.401123\pi\)
0.763771 + 0.645487i \(0.223346\pi\)
\(4\) 0.158485 + 0.324943i 0.0792427 + 0.162472i
\(5\) −0.982153 2.00882i −0.439232 0.898374i
\(6\) −2.84649 0.816218i −1.16208 0.333220i
\(7\) 0.367774 0.637004i 0.139006 0.240765i −0.788115 0.615528i \(-0.788943\pi\)
0.927120 + 0.374763i \(0.122276\pi\)
\(8\) −0.263190 + 2.50409i −0.0930517 + 0.885328i
\(9\) 0.604785 0.377912i 0.201595 0.125971i
\(10\) −0.355909 + 3.41775i −0.112548 + 1.08079i
\(11\) 1.34614 1.49504i 0.405877 0.450772i −0.505204 0.863000i \(-0.668583\pi\)
0.911081 + 0.412228i \(0.135249\pi\)
\(12\) 0.466154 + 0.517716i 0.134567 + 0.149452i
\(13\) −0.168125 4.81446i −0.0466294 1.33529i −0.766975 0.641677i \(-0.778239\pi\)
0.720346 0.693615i \(-0.243983\pi\)
\(14\) −0.998029 + 0.530661i −0.266734 + 0.141825i
\(15\) −2.88622 3.19930i −0.745218 0.826055i
\(16\) 2.82734 3.61883i 0.706835 0.904707i
\(17\) −1.55778 + 0.108930i −0.377816 + 0.0264195i −0.257402 0.966304i \(-0.582867\pi\)
−0.120414 + 0.992724i \(0.538422\pi\)
\(18\) −1.09592 −0.258310
\(19\) −4.25336 0.953362i −0.975789 0.218716i
\(20\) 0.497097 0.637513i 0.111154 0.142552i
\(21\) 0.342892 1.37527i 0.0748252 0.300108i
\(22\) −2.97179 + 0.852148i −0.633588 + 0.181678i
\(23\) 0.267146 0.0375450i 0.0557039 0.00782867i −0.111266 0.993791i \(-0.535491\pi\)
0.166970 + 0.985962i \(0.446602\pi\)
\(24\) 0.842512 + 4.77812i 0.171977 + 0.975331i
\(25\) −3.07075 + 3.94595i −0.614150 + 0.789189i
\(26\) −3.70151 + 6.41121i −0.725927 + 1.25734i
\(27\) −2.94863 + 3.27478i −0.567464 + 0.630232i
\(28\) 0.265277 + 0.0185500i 0.0501326 + 0.00350561i
\(29\) −2.78965 0.195072i −0.518026 0.0362239i −0.191649 0.981464i \(-0.561383\pi\)
−0.326377 + 0.945240i \(0.605828\pi\)
\(30\) 1.15605 + 6.51975i 0.211065 + 1.19034i
\(31\) 8.77582 3.90724i 1.57618 0.701762i 0.582380 0.812917i \(-0.302122\pi\)
0.993803 + 0.111155i \(0.0354550\pi\)
\(32\) −1.89954 + 0.691376i −0.335794 + 0.122219i
\(33\) 1.69939 3.48426i 0.295826 0.606533i
\(34\) 2.11883 + 1.12660i 0.363377 + 0.193211i
\(35\) −1.64084 0.113159i −0.277352 0.0191273i
\(36\) 0.218649 + 0.136627i 0.0364416 + 0.0227712i
\(37\) 0.0553274 0.170280i 0.00909576 0.0279939i −0.946406 0.322980i \(-0.895315\pi\)
0.955501 + 0.294987i \(0.0953152\pi\)
\(38\) 4.76670 + 4.70613i 0.773261 + 0.763435i
\(39\) −2.86857 8.82856i −0.459339 1.41370i
\(40\) 5.28876 1.93069i 0.836227 0.305269i
\(41\) −1.24163 + 1.58921i −0.193910 + 0.248193i −0.875133 0.483883i \(-0.839226\pi\)
0.681223 + 0.732076i \(0.261448\pi\)
\(42\) −1.56680 + 1.51304i −0.241762 + 0.233467i
\(43\) −1.18807 6.73786i −0.181178 1.02751i −0.930768 0.365611i \(-0.880860\pi\)
0.749589 0.661903i \(-0.230251\pi\)
\(44\) 0.699147 + 0.200477i 0.105400 + 0.0302231i
\(45\) −1.35315 0.843740i −0.201716 0.125777i
\(46\) −0.378725 0.168619i −0.0558399 0.0248615i
\(47\) −7.58492 0.530389i −1.10637 0.0773652i −0.495138 0.868814i \(-0.664883\pi\)
−0.611235 + 0.791449i \(0.709327\pi\)
\(48\) 3.31499 8.20489i 0.478478 1.18427i
\(49\) 3.22948 + 5.59363i 0.461355 + 0.799090i
\(50\) 7.21521 2.64179i 1.02038 0.373606i
\(51\) −2.82762 + 1.02917i −0.395946 + 0.144113i
\(52\) 1.53778 0.817653i 0.213252 0.113388i
\(53\) 0.654382 + 1.34168i 0.0898863 + 0.184294i 0.939001 0.343914i \(-0.111753\pi\)
−0.849115 + 0.528208i \(0.822864\pi\)
\(54\) 6.50950 1.86657i 0.885831 0.254008i
\(55\) −4.32539 1.23580i −0.583236 0.166636i
\(56\) 1.49832 + 1.08859i 0.200221 + 0.145469i
\(57\) −8.38490 + 0.493214i −1.11061 + 0.0653278i
\(58\) 3.47667 + 2.52595i 0.456510 + 0.331674i
\(59\) 5.18420 + 12.8313i 0.674925 + 1.67050i 0.739990 + 0.672618i \(0.234830\pi\)
−0.0650651 + 0.997881i \(0.520726\pi\)
\(60\) 0.582167 1.44490i 0.0751574 0.186536i
\(61\) 5.15595 0.724621i 0.660151 0.0927782i 0.198861 0.980028i \(-0.436276\pi\)
0.461290 + 0.887249i \(0.347387\pi\)
\(62\) −14.6186 2.05452i −1.85657 0.260924i
\(63\) −0.0183067 0.524236i −0.00230643 0.0660476i
\(64\) −5.94548 1.26375i −0.743185 0.157969i
\(65\) −9.50629 + 5.06627i −1.17911 + 0.628394i
\(66\) −5.05206 + 3.15688i −0.621865 + 0.388585i
\(67\) −2.81032 11.2716i −0.343335 1.37704i −0.855344 0.518061i \(-0.826654\pi\)
0.512009 0.858980i \(-0.328901\pi\)
\(68\) −0.282281 0.488925i −0.0342316 0.0592909i
\(69\) 0.474895 0.211437i 0.0571707 0.0254540i
\(70\) 2.04622 + 1.48367i 0.244570 + 0.177333i
\(71\) 0.224448 + 0.216747i 0.0266371 + 0.0257231i 0.707858 0.706355i \(-0.249662\pi\)
−0.681221 + 0.732078i \(0.738551\pi\)
\(72\) 0.787150 + 1.61390i 0.0927665 + 0.190199i
\(73\) 0.397608 11.3860i 0.0465365 1.33263i −0.721585 0.692326i \(-0.756586\pi\)
0.768122 0.640304i \(-0.221192\pi\)
\(74\) −0.210770 + 0.176857i −0.0245015 + 0.0205592i
\(75\) −3.59212 + 8.94010i −0.414782 + 1.03231i
\(76\) −0.364307 1.53320i −0.0417889 0.175870i
\(77\) −0.457271 1.40733i −0.0521108 0.160381i
\(78\) −3.45109 + 13.8416i −0.390759 + 1.56725i
\(79\) 15.7669 4.52109i 1.77392 0.508662i 0.780696 0.624911i \(-0.214865\pi\)
0.993220 + 0.116249i \(0.0370871\pi\)
\(80\) −10.0465 2.12538i −1.12323 0.237625i
\(81\) −4.66026 + 9.55496i −0.517807 + 1.06166i
\(82\) 2.91228 1.05998i 0.321607 0.117055i
\(83\) 5.48069 2.44016i 0.601584 0.267842i −0.0832652 0.996527i \(-0.526535\pi\)
0.684849 + 0.728685i \(0.259868\pi\)
\(84\) 0.501226 0.106539i 0.0546883 0.0116244i
\(85\) 1.74880 + 3.02231i 0.189684 + 0.327816i
\(86\) −3.93861 + 9.74840i −0.424711 + 1.05120i
\(87\) −5.27090 + 1.12036i −0.565100 + 0.120116i
\(88\) 3.38942 + 3.76433i 0.361313 + 0.401279i
\(89\) −5.66697 7.25339i −0.600697 0.768857i 0.387529 0.921858i \(-0.373329\pi\)
−0.988226 + 0.153000i \(0.951106\pi\)
\(90\) 1.07636 + 2.20150i 0.113458 + 0.232059i
\(91\) −3.12866 1.66354i −0.327973 0.174386i
\(92\) 0.0545388 + 0.0808571i 0.00568606 + 0.00842993i
\(93\) 14.1802 11.8986i 1.47042 1.23383i
\(94\) 9.45289 + 6.86793i 0.974991 + 0.708372i
\(95\) 2.26232 + 9.48061i 0.232109 + 0.972690i
\(96\) −3.15131 + 2.28956i −0.321629 + 0.233677i
\(97\) 0.373123 1.49651i 0.0378849 0.151948i −0.948374 0.317153i \(-0.897273\pi\)
0.986259 + 0.165205i \(0.0528286\pi\)
\(98\) 0.346401 9.91963i 0.0349918 1.00203i
\(99\) 0.249133 1.41290i 0.0250388 0.142002i
\(100\) −1.76888 0.372445i −0.176888 0.0372445i
\(101\) 1.71236 0.623247i 0.170386 0.0620154i −0.255419 0.966831i \(-0.582213\pi\)
0.425805 + 0.904815i \(0.359991\pi\)
\(102\) 4.52311 + 0.961416i 0.447854 + 0.0951944i
\(103\) −0.424940 0.189195i −0.0418705 0.0186420i 0.385695 0.922627i \(-0.373962\pi\)
−0.427565 + 0.903985i \(0.640629\pi\)
\(104\) 12.1001 + 0.846120i 1.18651 + 0.0829689i
\(105\) −3.09944 + 0.661911i −0.302474 + 0.0645959i
\(106\) 0.239784 2.28140i 0.0232899 0.221589i
\(107\) 9.40351 16.2874i 0.909071 1.57456i 0.0937143 0.995599i \(-0.470126\pi\)
0.815357 0.578959i \(-0.196541\pi\)
\(108\) −1.53143 0.439131i −0.147362 0.0422554i
\(109\) 11.2709 + 1.58402i 1.07955 + 0.151721i 0.656457 0.754363i \(-0.272054\pi\)
0.423096 + 0.906085i \(0.360943\pi\)
\(110\) 4.63057 + 5.13287i 0.441507 + 0.489400i
\(111\) 0.0120406 0.344798i 0.00114284 0.0327267i
\(112\) −1.26538 3.13194i −0.119568 0.295940i
\(113\) 0.340527 1.04803i 0.0320341 0.0985908i −0.933761 0.357897i \(-0.883494\pi\)
0.965795 + 0.259306i \(0.0834939\pi\)
\(114\) 11.3290 + 6.18541i 1.06106 + 0.579317i
\(115\) −0.337800 0.499775i −0.0315000 0.0466043i
\(116\) −0.378732 0.937394i −0.0351644 0.0870349i
\(117\) −1.92112 2.84818i −0.177608 0.263314i
\(118\) 3.69295 20.9438i 0.339964 1.92803i
\(119\) −0.503521 + 1.03237i −0.0461577 + 0.0946373i
\(120\) 8.77094 6.38531i 0.800673 0.582896i
\(121\) 0.726761 + 6.91467i 0.0660692 + 0.628606i
\(122\) −7.30942 3.25436i −0.661764 0.294636i
\(123\) −1.45578 + 3.60319i −0.131263 + 0.324888i
\(124\) 2.66047 + 2.23240i 0.238917 + 0.200475i
\(125\) 10.9427 + 2.29308i 0.978741 + 0.205099i
\(126\) −0.403050 + 0.698103i −0.0359065 + 0.0621919i
\(127\) 4.85179 + 6.21000i 0.430526 + 0.551049i 0.953536 0.301278i \(-0.0974132\pi\)
−0.523010 + 0.852327i \(0.675191\pi\)
\(128\) 9.62735 + 9.29702i 0.850946 + 0.821749i
\(129\) −5.77941 11.8495i −0.508849 1.04329i
\(130\) 16.5144 + 1.13890i 1.44841 + 0.0998883i
\(131\) 15.9277 1.11378i 1.39161 0.0973111i 0.645821 0.763489i \(-0.276515\pi\)
0.745793 + 0.666178i \(0.232071\pi\)
\(132\) 1.40152 0.121986
\(133\) −2.17157 + 2.35879i −0.188299 + 0.204533i
\(134\) −5.51645 + 16.9779i −0.476548 + 1.46666i
\(135\) 9.47447 + 2.70694i 0.815432 + 0.232976i
\(136\) 0.137220 3.92948i 0.0117665 0.336950i
\(137\) 10.8352 + 5.76120i 0.925718 + 0.492213i 0.862653 0.505797i \(-0.168801\pi\)
0.0630649 + 0.998009i \(0.479912\pi\)
\(138\) −0.791075 0.111178i −0.0673408 0.00946413i
\(139\) −2.41494 3.09098i −0.204832 0.262173i 0.674615 0.738170i \(-0.264310\pi\)
−0.879447 + 0.475997i \(0.842087\pi\)
\(140\) −0.223279 0.551113i −0.0188705 0.0465776i
\(141\) −14.3313 + 3.04621i −1.20691 + 0.256537i
\(142\) −0.115999 0.465246i −0.00973440 0.0390426i
\(143\) −7.42414 6.22959i −0.620838 0.520945i
\(144\) 0.342335 3.25710i 0.0285279 0.271425i
\(145\) 2.34800 + 5.79551i 0.194991 + 0.481291i
\(146\) −9.79026 + 14.5147i −0.810248 + 1.20124i
\(147\) 8.95300 + 8.64581i 0.738431 + 0.713094i
\(148\) 0.0640999 0.00900866i 0.00526898 0.000740507i
\(149\) 7.70214 + 2.80335i 0.630984 + 0.229659i 0.637659 0.770318i \(-0.279903\pi\)
−0.00667562 + 0.999978i \(0.502125\pi\)
\(150\) 11.9616 8.72570i 0.976662 0.712450i
\(151\) 13.5642 1.10384 0.551921 0.833896i \(-0.313895\pi\)
0.551921 + 0.833896i \(0.313895\pi\)
\(152\) 3.50674 10.3999i 0.284434 0.843541i
\(153\) −0.900954 + 0.654581i −0.0728378 + 0.0529198i
\(154\) −0.550127 + 2.20644i −0.0443305 + 0.177800i
\(155\) −16.4682 13.7916i −1.32275 1.10776i
\(156\) 2.41415 2.33132i 0.193287 0.186655i
\(157\) 1.43144 + 8.11809i 0.114241 + 0.647894i 0.987123 + 0.159963i \(0.0511373\pi\)
−0.872882 + 0.487932i \(0.837752\pi\)
\(158\) −24.2294 6.94768i −1.92759 0.552728i
\(159\) 1.92474 + 2.13764i 0.152642 + 0.169526i
\(160\) 3.25449 + 3.13681i 0.257290 + 0.247986i
\(161\) 0.0743333 0.183981i 0.00585828 0.0144998i
\(162\) 13.8543 8.65716i 1.08850 0.680171i
\(163\) 1.52885 0.324968i 0.119749 0.0254534i −0.147647 0.989040i \(-0.547170\pi\)
0.267396 + 0.963587i \(0.413837\pi\)
\(164\) −0.713183 0.151592i −0.0556903 0.0118373i
\(165\) −8.66834 + 0.00830646i −0.674829 + 0.000646657i
\(166\) −9.12966 1.28309i −0.708599 0.0995871i
\(167\) −6.90661 + 6.66964i −0.534450 + 0.516112i −0.912172 0.409807i \(-0.865596\pi\)
0.377723 + 0.925919i \(0.376707\pi\)
\(168\) 3.35354 + 1.22059i 0.258731 + 0.0941704i
\(169\) −10.1825 + 0.712026i −0.783266 + 0.0547713i
\(170\) 0.182130 5.36286i 0.0139687 0.411312i
\(171\) −2.93266 + 1.03082i −0.224266 + 0.0788285i
\(172\) 2.00113 1.45391i 0.152585 0.110859i
\(173\) −8.93864 5.58548i −0.679592 0.424656i 0.145725 0.989325i \(-0.453448\pi\)
−0.825318 + 0.564669i \(0.809004\pi\)
\(174\) 7.78150 + 2.83223i 0.589914 + 0.214711i
\(175\) 1.38424 + 3.40730i 0.104639 + 0.257567i
\(176\) −1.60430 9.09844i −0.120929 0.685821i
\(177\) 16.4180 + 21.0140i 1.23405 + 1.57951i
\(178\) 1.47856 + 14.0676i 0.110823 + 1.05441i
\(179\) −13.4441 5.98571i −1.00486 0.447393i −0.162733 0.986670i \(-0.552031\pi\)
−0.842129 + 0.539277i \(0.818698\pi\)
\(180\) 0.0597131 0.573417i 0.00445075 0.0427400i
\(181\) −2.59061 10.3904i −0.192559 0.772311i −0.986424 0.164217i \(-0.947490\pi\)
0.793866 0.608093i \(-0.208065\pi\)
\(182\) 2.72264 + 4.71576i 0.201816 + 0.349555i
\(183\) 9.16552 4.08075i 0.677535 0.301658i
\(184\) 0.0237056 + 0.678839i 0.00174760 + 0.0500447i
\(185\) −0.396403 + 0.0560982i −0.0291441 + 0.00412442i
\(186\) −28.1694 + 3.95896i −2.06548 + 0.290285i
\(187\) −1.93413 + 2.47558i −0.141438 + 0.181032i
\(188\) −1.02975 2.54872i −0.0751024 0.185885i
\(189\) 1.00162 + 3.08267i 0.0728571 + 0.224231i
\(190\) 4.77216 14.1976i 0.346209 1.03000i
\(191\) −7.56681 + 23.2883i −0.547515 + 1.68508i 0.167417 + 0.985886i \(0.446457\pi\)
−0.714933 + 0.699193i \(0.753543\pi\)
\(192\) −11.6841 + 0.817030i −0.843225 + 0.0589641i
\(193\) 14.5011 + 5.27796i 1.04381 + 0.379916i 0.806324 0.591474i \(-0.201454\pi\)
0.237487 + 0.971391i \(0.423676\pi\)
\(194\) −1.70494 + 1.64644i −0.122407 + 0.118207i
\(195\) −14.9177 + 14.4335i −1.06828 + 1.03360i
\(196\) −1.30579 + 1.93591i −0.0932704 + 0.138279i
\(197\) −0.880078 8.37338i −0.0627029 0.596578i −0.980086 0.198573i \(-0.936369\pi\)
0.917383 0.398005i \(-0.130297\pi\)
\(198\) −1.47526 + 1.63844i −0.104842 + 0.116439i
\(199\) 6.08967 + 5.10984i 0.431685 + 0.362227i 0.832587 0.553894i \(-0.186859\pi\)
−0.400902 + 0.916121i \(0.631303\pi\)
\(200\) −9.07280 8.72796i −0.641544 0.617160i
\(201\) −11.1923 19.3857i −0.789447 1.36736i
\(202\) −2.73911 0.582216i −0.192723 0.0409646i
\(203\) −1.15022 + 1.70528i −0.0807299 + 0.119687i
\(204\) −0.782559 0.755708i −0.0547901 0.0529101i
\(205\) 4.41192 + 0.933364i 0.308142 + 0.0651890i
\(206\) 0.399720 + 0.592609i 0.0278498 + 0.0412890i
\(207\) 0.147377 0.123664i 0.0102434 0.00859527i
\(208\) −17.8981 13.0037i −1.24101 0.901644i
\(209\) −7.15094 + 5.07559i −0.494641 + 0.351086i
\(210\) 4.57827 + 1.66139i 0.315931 + 0.114647i
\(211\) −5.42134 3.38763i −0.373220 0.233214i 0.330320 0.943869i \(-0.392843\pi\)
−0.703541 + 0.710655i \(0.748399\pi\)
\(212\) −0.332260 + 0.425274i −0.0228197 + 0.0292079i
\(213\) 0.530869 + 0.282268i 0.0363746 + 0.0193407i
\(214\) −25.5183 + 13.5683i −1.74439 + 0.927511i
\(215\) −12.3683 + 9.00423i −0.843512 + 0.614083i
\(216\) −7.42429 8.24551i −0.505159 0.561036i
\(217\) 0.738590 7.02721i 0.0501387 0.477038i
\(218\) −13.3985 11.2427i −0.907459 0.761449i
\(219\) −5.31107 21.3015i −0.358889 1.43942i
\(220\) −0.283946 1.60136i −0.0191436 0.107964i
\(221\) 0.786342 + 7.48154i 0.0528951 + 0.503263i
\(222\) −0.296475 + 0.439542i −0.0198981 + 0.0295001i
\(223\) −18.9347 + 10.0677i −1.26796 + 0.674186i −0.960739 0.277453i \(-0.910510\pi\)
−0.307220 + 0.951639i \(0.599399\pi\)
\(224\) −0.258193 + 1.46428i −0.0172512 + 0.0978366i
\(225\) −0.365925 + 3.54692i −0.0243950 + 0.236461i
\(226\) −1.29724 + 1.08851i −0.0862911 + 0.0724068i
\(227\) −4.30738 13.2568i −0.285891 0.879882i −0.986130 0.165974i \(-0.946923\pi\)
0.700239 0.713908i \(-0.253077\pi\)
\(228\) −1.48915 2.64645i −0.0986214 0.175265i
\(229\) 13.1425 9.54856i 0.868478 0.630986i −0.0617000 0.998095i \(-0.519652\pi\)
0.930178 + 0.367108i \(0.119652\pi\)
\(230\) 0.0332395 + 0.926401i 0.00219175 + 0.0610851i
\(231\) −1.59450 2.36394i −0.104910 0.155536i
\(232\) 1.22268 6.93419i 0.0802732 0.455252i
\(233\) −8.59909 + 17.6307i −0.563345 + 1.15503i 0.407028 + 0.913416i \(0.366565\pi\)
−0.970373 + 0.241613i \(0.922324\pi\)
\(234\) 0.184251 + 5.27625i 0.0120448 + 0.344919i
\(235\) 6.38409 + 15.7577i 0.416452 + 1.02792i
\(236\) −3.34784 + 3.71815i −0.217926 + 0.242031i
\(237\) 26.8038 16.7489i 1.74109 1.08796i
\(238\) 1.49690 0.935368i 0.0970297 0.0606309i
\(239\) 5.94886 6.60688i 0.384800 0.427364i −0.519361 0.854555i \(-0.673830\pi\)
0.904161 + 0.427191i \(0.140497\pi\)
\(240\) −19.7380 + 1.39922i −1.27408 + 0.0903195i
\(241\) −0.603910 17.2937i −0.0389012 1.11399i −0.849234 0.528016i \(-0.822936\pi\)
0.810333 0.585969i \(-0.199286\pi\)
\(242\) 4.68377 9.60316i 0.301084 0.617314i
\(243\) −1.26159 + 7.15484i −0.0809312 + 0.458983i
\(244\) 1.05260 + 1.56055i 0.0673860 + 0.0999038i
\(245\) 8.06477 11.9813i 0.515240 0.765455i
\(246\) 4.83143 3.51024i 0.308041 0.223805i
\(247\) −3.87483 + 20.6379i −0.246550 + 1.31316i
\(248\) 7.47437 + 23.0037i 0.474623 + 1.46074i
\(249\) 8.85585 7.43094i 0.561216 0.470917i
\(250\) −12.3933 11.8994i −0.783823 0.752587i
\(251\) −3.47820 + 19.7258i −0.219542 + 1.24508i 0.653307 + 0.757093i \(0.273381\pi\)
−0.872849 + 0.487991i \(0.837730\pi\)
\(252\) 0.167446 0.0890324i 0.0105481 0.00560852i
\(253\) 0.303486 0.449936i 0.0190800 0.0282872i
\(254\) −1.26588 12.0440i −0.0794281 0.755708i
\(255\) 4.84458 + 4.66939i 0.303379 + 0.292409i
\(256\) −2.03464 8.16051i −0.127165 0.510032i
\(257\) −10.8260 9.08406i −0.675305 0.566648i 0.239325 0.970939i \(-0.423074\pi\)
−0.914630 + 0.404291i \(0.867518\pi\)
\(258\) −2.11774 + 20.1490i −0.131845 + 1.25442i
\(259\) −0.0881211 0.0978684i −0.00547558 0.00608125i
\(260\) −3.15286 2.28607i −0.195532 0.141776i
\(261\) −1.76086 + 0.936266i −0.108994 + 0.0579534i
\(262\) −21.6643 11.5191i −1.33843 0.711654i
\(263\) −2.75920 + 3.53161i −0.170139 + 0.217769i −0.865522 0.500872i \(-0.833013\pi\)
0.695382 + 0.718640i \(0.255235\pi\)
\(264\) 8.27764 + 5.17244i 0.509453 + 0.318342i
\(265\) 2.05250 2.63228i 0.126084 0.161699i
\(266\) 4.75089 1.30561i 0.291296 0.0800523i
\(267\) −14.3495 10.4255i −0.878177 0.638033i
\(268\) 3.21722 2.69957i 0.196523 0.164903i
\(269\) −7.61087 11.2836i −0.464043 0.687972i 0.522284 0.852771i \(-0.325080\pi\)
−0.986327 + 0.164800i \(0.947302\pi\)
\(270\) −10.1429 11.2432i −0.617279 0.684238i
\(271\) 11.8934 + 11.4854i 0.722475 + 0.697686i 0.961953 0.273216i \(-0.0880874\pi\)
−0.239478 + 0.970902i \(0.576976\pi\)
\(272\) −4.01016 + 5.94531i −0.243152 + 0.360487i
\(273\) −6.67881 1.41963i −0.404220 0.0859197i
\(274\) −9.42911 16.3317i −0.569634 0.986634i
\(275\) 1.76569 + 9.90270i 0.106475 + 0.597155i
\(276\) 0.143969 + 0.120804i 0.00866591 + 0.00727156i
\(277\) −6.60952 + 7.34062i −0.397128 + 0.441055i −0.908234 0.418462i \(-0.862569\pi\)
0.511106 + 0.859517i \(0.329236\pi\)
\(278\) 0.630079 + 5.99481i 0.0377897 + 0.359545i
\(279\) 3.83089 5.67952i 0.229349 0.340024i
\(280\) 0.715212 4.07902i 0.0427421 0.243768i
\(281\) 17.0841 16.4979i 1.01915 0.984185i 0.0192752 0.999814i \(-0.493864\pi\)
0.999878 + 0.0156295i \(0.00497523\pi\)
\(282\) 21.1575 + 7.70069i 1.25991 + 0.458570i
\(283\) −15.6343 + 1.09326i −0.929361 + 0.0649873i −0.526407 0.850233i \(-0.676461\pi\)
−0.402954 + 0.915220i \(0.632017\pi\)
\(284\) −0.0348587 + 0.107284i −0.00206848 + 0.00636613i
\(285\) 9.22604 + 16.3594i 0.546503 + 0.969046i
\(286\) 4.60226 + 14.1643i 0.272138 + 0.837553i
\(287\) 0.555695 + 1.37539i 0.0328016 + 0.0811869i
\(288\) −0.887534 + 1.13599i −0.0522985 + 0.0669390i
\(289\) −14.4198 + 2.02656i −0.848221 + 0.119210i
\(290\) 1.65957 9.46490i 0.0974531 0.555798i
\(291\) −0.103721 2.97018i −0.00608024 0.174115i
\(292\) 3.76281 1.67531i 0.220202 0.0980403i
\(293\) 5.65305 + 9.79137i 0.330255 + 0.572018i 0.982562 0.185937i \(-0.0595320\pi\)
−0.652307 + 0.757955i \(0.726199\pi\)
\(294\) −4.62707 18.5582i −0.269856 1.08234i
\(295\) 20.6842 23.0165i 1.20428 1.34007i
\(296\) 0.411834 + 0.183361i 0.0239374 + 0.0106576i
\(297\) 0.926666 + 8.81664i 0.0537706 + 0.511593i
\(298\) −7.75469 9.92555i −0.449217 0.574972i
\(299\) −0.225673 1.27985i −0.0130510 0.0740159i
\(300\) −3.47432 + 0.249640i −0.200590 + 0.0144130i
\(301\) −4.72898 1.72121i −0.272574 0.0992088i
\(302\) −17.6772 11.0459i −1.01721 0.635622i
\(303\) 2.84078 2.06395i 0.163198 0.118571i
\(304\) −15.4758 + 12.6967i −0.887595 + 0.728207i
\(305\) −6.51957 9.64570i −0.373309 0.552311i
\(306\) 1.70719 0.119379i 0.0975937 0.00682442i
\(307\) −14.7667 5.37462i −0.842778 0.306746i −0.115685 0.993286i \(-0.536906\pi\)
−0.727092 + 0.686540i \(0.759129\pi\)
\(308\) 0.384833 0.371629i 0.0219279 0.0211755i
\(309\) −0.887608 0.124745i −0.0504942 0.00709650i
\(310\) 10.2306 + 31.3841i 0.581058 + 1.78250i
\(311\) −21.0865 4.48208i −1.19571 0.254155i −0.433298 0.901251i \(-0.642650\pi\)
−0.762409 + 0.647095i \(0.775984\pi\)
\(312\) 22.8625 4.85957i 1.29433 0.275119i
\(313\) −6.86096 + 4.28720i −0.387804 + 0.242327i −0.709784 0.704420i \(-0.751207\pi\)
0.321979 + 0.946747i \(0.395652\pi\)
\(314\) 4.74542 11.7453i 0.267800 0.662827i
\(315\) −1.03512 + 0.551655i −0.0583223 + 0.0310823i
\(316\) 3.96792 + 4.40682i 0.223213 + 0.247903i
\(317\) 26.2488 + 7.52673i 1.47428 + 0.422743i 0.914053 0.405595i \(-0.132936\pi\)
0.560228 + 0.828338i \(0.310714\pi\)
\(318\) −0.767587 4.35320i −0.0430442 0.244116i
\(319\) −4.04691 + 3.90805i −0.226583 + 0.218809i
\(320\) 3.30072 + 13.1846i 0.184516 + 0.737042i
\(321\) 8.76731 35.1637i 0.489343 1.96265i
\(322\) −0.246696 + 0.179235i −0.0137478 + 0.00998839i
\(323\) 6.72964 + 1.02180i 0.374447 + 0.0568547i
\(324\) −3.84340 −0.213522
\(325\) 19.5139 + 14.1206i 1.08244 + 0.783270i
\(326\) −2.25707 0.821505i −0.125007 0.0454989i
\(327\) 21.7184 3.05233i 1.20103 0.168794i
\(328\) −3.65274 3.52741i −0.201689 0.194769i
\(329\) −3.12740 + 4.63656i −0.172419 + 0.255622i
\(330\) 11.3035 + 7.04816i 0.622238 + 0.387989i
\(331\) −2.31328 + 22.0094i −0.127149 + 1.20974i 0.725858 + 0.687845i \(0.241443\pi\)
−0.853007 + 0.521900i \(0.825224\pi\)
\(332\) 1.66152 + 1.39418i 0.0911879 + 0.0765157i
\(333\) −0.0308897 0.123892i −0.00169274 0.00678922i
\(334\) 14.4322 3.06766i 0.789694 0.167855i
\(335\) −19.8824 + 16.7158i −1.08629 + 0.913283i
\(336\) −4.00738 5.12921i −0.218620 0.279821i
\(337\) −22.9978 3.23213i −1.25277 0.176065i −0.518591 0.855022i \(-0.673543\pi\)
−0.734178 + 0.678957i \(0.762432\pi\)
\(338\) 13.8498 + 7.36407i 0.753330 + 0.400553i
\(339\) 0.0741071 2.12215i 0.00402494 0.115259i
\(340\) −0.704921 + 1.04725i −0.0382297 + 0.0567952i
\(341\) 5.97200 18.3799i 0.323402 0.995328i
\(342\) 4.66133 + 1.04481i 0.252056 + 0.0564966i
\(343\) 9.89972 0.534535
\(344\) 17.1849 1.20168i 0.926546 0.0647904i
\(345\) −0.891160 0.746318i −0.0479784 0.0401804i
\(346\) 7.10052 + 14.5582i 0.381726 + 0.782654i
\(347\) −8.04817 7.77203i −0.432048 0.417224i 0.446570 0.894749i \(-0.352645\pi\)
−0.878619 + 0.477524i \(0.841534\pi\)
\(348\) −1.19942 1.53518i −0.0642954 0.0822944i
\(349\) −6.65011 + 11.5183i −0.355972 + 0.616562i −0.987284 0.158967i \(-0.949184\pi\)
0.631311 + 0.775529i \(0.282517\pi\)
\(350\) 0.970737 5.56770i 0.0518881 0.297606i
\(351\) 16.2621 + 13.6455i 0.868004 + 0.728342i
\(352\) −1.52341 + 3.77058i −0.0811982 + 0.200973i
\(353\) 7.00148 + 3.11726i 0.372651 + 0.165915i 0.584512 0.811385i \(-0.301286\pi\)
−0.211861 + 0.977300i \(0.567952\pi\)
\(354\) −4.28360 40.7557i −0.227671 2.16614i
\(355\) 0.214964 0.663755i 0.0114091 0.0352284i
\(356\) 1.45881 2.99100i 0.0773166 0.158523i
\(357\) −0.384341 + 2.17971i −0.0203415 + 0.115362i
\(358\) 12.6462 + 18.7488i 0.668374 + 0.990906i
\(359\) 11.2571 + 27.8624i 0.594128 + 1.47052i 0.861921 + 0.507043i \(0.169261\pi\)
−0.267792 + 0.963477i \(0.586294\pi\)
\(360\) 2.46893 3.16634i 0.130124 0.166881i
\(361\) 17.1822 + 8.10999i 0.904326 + 0.426842i
\(362\) −5.08518 + 15.6506i −0.267271 + 0.822576i
\(363\) 5.01884 + 12.4221i 0.263421 + 0.651990i
\(364\) 0.0447085 1.28028i 0.00234336 0.0671051i
\(365\) −23.2630 + 10.3841i −1.21764 + 0.543527i
\(366\) −15.2678 2.14575i −0.798061 0.112160i
\(367\) −1.32040 0.378619i −0.0689243 0.0197637i 0.240998 0.970526i \(-0.422525\pi\)
−0.309922 + 0.950762i \(0.600303\pi\)
\(368\) 0.619445 1.07291i 0.0322908 0.0559293i
\(369\) −0.150337 + 1.43036i −0.00782621 + 0.0744614i
\(370\) 0.562283 + 0.249699i 0.0292317 + 0.0129812i
\(371\) 1.09532 + 0.0765923i 0.0568662 + 0.00397647i
\(372\) 6.11372 + 2.72201i 0.316982 + 0.141129i
\(373\) 20.2474 + 4.30372i 1.04837 + 0.222838i 0.699722 0.714415i \(-0.253307\pi\)
0.348649 + 0.937253i \(0.386640\pi\)
\(374\) 4.53656 1.65117i 0.234580 0.0853802i
\(375\) 21.4871 1.56461i 1.10959 0.0807961i
\(376\) 3.32441 18.8537i 0.171444 0.972305i
\(377\) −0.470155 + 13.4635i −0.0242142 + 0.693404i
\(378\) 1.20501 4.83305i 0.0619793 0.248585i
\(379\) −0.379083 + 0.275420i −0.0194722 + 0.0141474i −0.597479 0.801885i \(-0.703831\pi\)
0.578007 + 0.816032i \(0.303831\pi\)
\(380\) −2.72211 + 2.23766i −0.139642 + 0.114790i
\(381\) 12.2854 + 8.92585i 0.629399 + 0.457285i
\(382\) 28.8258 24.1877i 1.47486 1.23755i
\(383\) 3.87853 + 5.75016i 0.198184 + 0.293819i 0.915009 0.403433i \(-0.132183\pi\)
−0.716825 + 0.697253i \(0.754405\pi\)
\(384\) 22.7708 + 12.1075i 1.16202 + 0.617856i
\(385\) −2.37798 + 2.30079i −0.121193 + 0.117259i
\(386\) −14.6000 18.6872i −0.743122 0.951153i
\(387\) −3.26484 3.62597i −0.165961 0.184318i
\(388\) 0.545417 0.115932i 0.0276893 0.00588555i
\(389\) 6.96994 17.2512i 0.353390 0.874671i −0.640867 0.767652i \(-0.721425\pi\)
0.994257 0.107019i \(-0.0341306\pi\)
\(390\) 31.1947 6.66190i 1.57961 0.337338i
\(391\) −0.412065 + 0.0875871i −0.0208390 + 0.00442947i
\(392\) −14.8569 + 6.61472i −0.750387 + 0.334094i
\(393\) 28.9115 10.5229i 1.45839 0.530811i
\(394\) −5.67186 + 11.6290i −0.285744 + 0.585862i
\(395\) −24.5676 27.2326i −1.23613 1.37022i
\(396\) 0.498596 0.142970i 0.0250554 0.00718452i
\(397\) 0.689885 2.76698i 0.0346243 0.138871i −0.950496 0.310737i \(-0.899424\pi\)
0.985120 + 0.171866i \(0.0549797\pi\)
\(398\) −3.77502 11.6183i −0.189225 0.582373i
\(399\) −2.76957 + 5.52260i −0.138652 + 0.276476i
\(400\) 5.59765 + 22.2690i 0.279883 + 1.11345i
\(401\) −6.94365 + 5.82641i −0.346749 + 0.290957i −0.799483 0.600689i \(-0.794893\pi\)
0.452734 + 0.891646i \(0.350449\pi\)
\(402\) −1.20051 + 34.3782i −0.0598762 + 1.71463i
\(403\) −20.2867 41.5939i −1.01055 2.07194i
\(404\) 0.473903 + 0.457643i 0.0235776 + 0.0227686i
\(405\) 23.7713 0.0227789i 1.18121 0.00113189i
\(406\) 2.88767 1.28567i 0.143313 0.0638069i
\(407\) −0.180097 0.311938i −0.00892710 0.0154622i
\(408\) −1.83293 7.35148i −0.0907435 0.363952i
\(409\) −18.7112 + 11.6921i −0.925209 + 0.578135i −0.906738 0.421695i \(-0.861435\pi\)
−0.0184712 + 0.999829i \(0.505880\pi\)
\(410\) −4.98962 4.80919i −0.246420 0.237509i
\(411\) 23.1302 + 4.91648i 1.14093 + 0.242512i
\(412\) −0.00586899 0.168066i −0.000289144 0.00828001i
\(413\) 10.0802 + 1.41668i 0.496016 + 0.0697104i
\(414\) −0.292770 + 0.0411462i −0.0143889 + 0.00202222i
\(415\) −10.2847 8.61313i −0.504857 0.422802i
\(416\) 3.64796 + 9.02903i 0.178856 + 0.442684i
\(417\) −6.11495 4.44277i −0.299450 0.217563i
\(418\) 13.4525 0.791300i 0.657984 0.0387037i
\(419\) −2.28563 1.66061i −0.111660 0.0811259i 0.530554 0.847651i \(-0.321984\pi\)
−0.642214 + 0.766525i \(0.721984\pi\)
\(420\) −0.706299 0.902238i −0.0344639 0.0440247i
\(421\) −9.16927 + 2.62925i −0.446883 + 0.128142i −0.491529 0.870861i \(-0.663562\pi\)
0.0446461 + 0.999003i \(0.485784\pi\)
\(422\) 4.30650 + 8.82964i 0.209637 + 0.429820i
\(423\) −4.78768 + 2.54566i −0.232785 + 0.123774i
\(424\) −3.53191 + 1.28551i −0.171525 + 0.0624299i
\(425\) 4.35371 6.48140i 0.211186 0.314394i
\(426\) −0.461976 0.800166i −0.0223828 0.0387682i
\(427\) 1.43464 3.55085i 0.0694270 0.171838i
\(428\) 6.78278 + 0.474298i 0.327858 + 0.0229261i
\(429\) −17.0606 7.59586i −0.823692 0.366731i
\(430\) 23.4511 1.66245i 1.13091 0.0801703i
\(431\) −37.1839 10.6623i −1.79108 0.513585i −0.795374 0.606119i \(-0.792726\pi\)
−0.995710 + 0.0925338i \(0.970503\pi\)
\(432\) 3.51411 + 19.9295i 0.169073 + 0.958858i
\(433\) 0.781935 0.755105i 0.0375774 0.0362881i −0.675633 0.737238i \(-0.736129\pi\)
0.713210 + 0.700950i \(0.247241\pi\)
\(434\) −6.68509 + 8.55653i −0.320895 + 0.410727i
\(435\) 7.42745 + 9.48795i 0.356119 + 0.454912i
\(436\) 1.27155 + 3.91343i 0.0608963 + 0.187419i
\(437\) −1.17206 0.0949948i −0.0560675 0.00454422i
\(438\) −10.4252 + 32.0856i −0.498137 + 1.53311i
\(439\) −26.2366 16.3945i −1.25221 0.782465i −0.268679 0.963230i \(-0.586587\pi\)
−0.983526 + 0.180765i \(0.942143\pi\)
\(440\) 4.23295 10.5059i 0.201798 0.500849i
\(441\) 4.06704 + 2.16248i 0.193669 + 0.102975i
\(442\) 5.06776 10.3904i 0.241049 0.494223i
\(443\) −4.20159 + 1.52925i −0.199623 + 0.0726570i −0.439897 0.898048i \(-0.644985\pi\)
0.240274 + 0.970705i \(0.422763\pi\)
\(444\) 0.113948 0.0507329i 0.00540773 0.00240767i
\(445\) −9.00495 + 18.5079i −0.426876 + 0.877357i
\(446\) 32.8746 + 2.29882i 1.55666 + 0.108852i
\(447\) 15.7557 + 1.10175i 0.745219 + 0.0521108i
\(448\) −2.99161 + 3.32252i −0.141340 + 0.156974i
\(449\) 19.6470 34.0296i 0.927198 1.60595i 0.139211 0.990263i \(-0.455544\pi\)
0.787987 0.615691i \(-0.211123\pi\)
\(450\) 3.36529 4.32443i 0.158641 0.203855i
\(451\) 0.704530 + 3.99559i 0.0331750 + 0.188145i
\(452\) 0.394520 0.0554462i 0.0185567 0.00260797i
\(453\) 25.1251 7.20452i 1.18048 0.338498i
\(454\) −5.18207 + 20.7841i −0.243207 + 0.975448i
\(455\) −0.268933 + 7.91878i −0.0126078 + 0.371238i
\(456\) 0.971771 21.1263i 0.0455074 0.989331i
\(457\) 15.6753 0.733257 0.366629 0.930367i \(-0.380512\pi\)
0.366629 + 0.930367i \(0.380512\pi\)
\(458\) −24.9033 + 1.74141i −1.16365 + 0.0813706i
\(459\) 4.23658 5.42258i 0.197747 0.253104i
\(460\) 0.108862 0.188973i 0.00507573 0.00881090i
\(461\) 28.3117 15.0536i 1.31861 0.701116i 0.347033 0.937853i \(-0.387189\pi\)
0.971574 + 0.236737i \(0.0760779\pi\)
\(462\) 0.152925 + 4.37920i 0.00711471 + 0.203739i
\(463\) 2.08799 + 2.31895i 0.0970370 + 0.107771i 0.789707 0.613484i \(-0.210232\pi\)
−0.692670 + 0.721255i \(0.743566\pi\)
\(464\) −8.59322 + 9.54374i −0.398930 + 0.443057i
\(465\) −37.8293 16.7993i −1.75429 0.779048i
\(466\) 25.5640 15.9741i 1.18423 0.739987i
\(467\) −3.36807 + 32.0450i −0.155856 + 1.48287i 0.584907 + 0.811101i \(0.301131\pi\)
−0.740762 + 0.671767i \(0.765536\pi\)
\(468\) 0.621026 1.07565i 0.0287070 0.0497219i
\(469\) −8.21359 2.35521i −0.379268 0.108753i
\(470\) 4.51227 25.7345i 0.208136 1.18705i
\(471\) 6.96331 + 14.2769i 0.320852 + 0.657845i
\(472\) −33.4952 + 9.60460i −1.54174 + 0.442087i
\(473\) −11.6727 7.29390i −0.536711 0.335374i
\(474\) −48.5706 −2.23092
\(475\) 16.8229 13.8560i 0.771889 0.635757i
\(476\) −0.415263 −0.0190335
\(477\) 0.902797 + 0.564130i 0.0413363 + 0.0258298i
\(478\) −13.1329 + 3.76581i −0.600686 + 0.172244i
\(479\) 1.67217 + 3.42845i 0.0764034 + 0.156650i 0.933576 0.358378i \(-0.116670\pi\)
−0.857173 + 0.515028i \(0.827781\pi\)
\(480\) 7.69440 + 4.08173i 0.351200 + 0.186305i
\(481\) −0.829109 0.237743i −0.0378041 0.0108402i
\(482\) −13.2960 + 23.0293i −0.605614 + 1.04895i
\(483\) 0.0399681 0.380271i 0.00181861 0.0173029i
\(484\) −2.13169 + 1.33203i −0.0968951 + 0.0605468i
\(485\) −3.37270 + 0.720268i −0.153146 + 0.0327057i
\(486\) 7.47062 8.29696i 0.338874 0.376358i
\(487\) 17.8783 + 19.8559i 0.810144 + 0.899756i 0.996573 0.0827127i \(-0.0263584\pi\)
−0.186430 + 0.982468i \(0.559692\pi\)
\(488\) 0.457520 + 13.1016i 0.0207109 + 0.593084i
\(489\) 2.65930 1.41398i 0.120258 0.0639422i
\(490\) −20.2670 + 9.04674i −0.915570 + 0.408690i
\(491\) −5.83556 + 7.46918i −0.263355 + 0.337079i −0.901454 0.432875i \(-0.857499\pi\)
0.638098 + 0.769955i \(0.279721\pi\)
\(492\) −1.40155 + 0.0980060i −0.0631868 + 0.00441845i
\(493\) 4.36691 0.196676
\(494\) 21.8561 23.7403i 0.983352 1.06813i
\(495\) −3.08296 + 0.887221i −0.138569 + 0.0398776i
\(496\) 10.6726 42.8053i 0.479212 1.92201i
\(497\) 0.220615 0.0632602i 0.00989592 0.00283761i
\(498\) −17.5924 + 2.47245i −0.788336 + 0.110793i
\(499\) 3.44894 + 19.5599i 0.154396 + 0.875622i 0.959336 + 0.282266i \(0.0910862\pi\)
−0.804940 + 0.593356i \(0.797803\pi\)
\(500\) 0.989132 + 3.91916i 0.0442353 + 0.175270i
\(501\) −9.25065 + 16.0226i −0.413289 + 0.715837i
\(502\) 20.5964 22.8746i 0.919264 1.02095i
\(503\) −15.1190 1.05723i −0.674124 0.0471393i −0.271408 0.962464i \(-0.587489\pi\)
−0.402716 + 0.915325i \(0.631934\pi\)
\(504\) 1.31755 + 0.0921321i 0.0586884 + 0.00410389i
\(505\) −2.93379 2.82770i −0.130552 0.125831i
\(506\) −0.761910 + 0.339224i −0.0338710 + 0.0150803i
\(507\) −18.4828 + 6.72720i −0.820852 + 0.298766i
\(508\) −1.24896 + 2.56075i −0.0554137 + 0.113615i
\(509\) −22.9126 12.1829i −1.01558 0.539996i −0.123729 0.992316i \(-0.539485\pi\)
−0.891856 + 0.452320i \(0.850596\pi\)
\(510\) −2.51107 10.0304i −0.111192 0.444153i
\(511\) −7.10669 4.44075i −0.314381 0.196447i
\(512\) 4.27766 13.1653i 0.189048 0.581829i
\(513\) 15.6636 11.1177i 0.691567 0.490860i
\(514\) 6.71107 + 20.6546i 0.296013 + 0.911034i
\(515\) 0.0372956 + 1.03945i 0.00164344 + 0.0458035i
\(516\) 2.93448 3.75596i 0.129183 0.165347i
\(517\) −11.0033 + 10.6258i −0.483926 + 0.467321i
\(518\) 0.0351428 + 0.199305i 0.00154409 + 0.00875694i
\(519\) −19.5238 5.59835i −0.856999 0.245740i
\(520\) −10.1844 25.1379i −0.446616 1.10237i
\(521\) 6.44335 + 2.86877i 0.282288 + 0.125683i 0.542997 0.839735i \(-0.317290\pi\)
−0.260709 + 0.965418i \(0.583956\pi\)
\(522\) 3.05723 + 0.213782i 0.133811 + 0.00935699i
\(523\) −12.3645 + 30.6032i −0.540662 + 1.33818i 0.371530 + 0.928421i \(0.378833\pi\)
−0.912192 + 0.409764i \(0.865611\pi\)
\(524\) 2.88623 + 4.99909i 0.126085 + 0.218386i
\(525\) 4.37379 + 5.57613i 0.190888 + 0.243362i
\(526\) 6.47178 2.35553i 0.282183 0.102706i
\(527\) −13.2451 + 7.04257i −0.576968 + 0.306779i
\(528\) −7.80421 16.0010i −0.339635 0.696354i
\(529\) −22.0391 + 6.31960i −0.958220 + 0.274765i
\(530\) −4.81843 + 1.75900i −0.209299 + 0.0764059i
\(531\) 7.98444 + 5.80103i 0.346495 + 0.251743i
\(532\) −1.11063 0.331804i −0.0481521 0.0143855i
\(533\) 7.85995 + 5.71059i 0.340452 + 0.247353i
\(534\) 10.2106 + 25.2722i 0.441857 + 1.09363i
\(535\) −41.9541 2.89332i −1.81383 0.125089i
\(536\) 28.9646 4.07071i 1.25108 0.175828i
\(537\) −28.0819 3.94665i −1.21182 0.170311i
\(538\) 0.729942 + 20.9028i 0.0314701 + 0.901184i
\(539\) 12.7101 + 2.70160i 0.547461 + 0.116366i
\(540\) 0.621964 + 3.50767i 0.0267651 + 0.150946i
\(541\) 31.9075 19.9380i 1.37181 0.857203i 0.374273 0.927319i \(-0.377892\pi\)
0.997539 + 0.0701154i \(0.0223368\pi\)
\(542\) −6.14675 24.6533i −0.264025 1.05895i
\(543\) −10.3174 17.8702i −0.442760 0.766883i
\(544\) 2.88375 1.28393i 0.123640 0.0550479i
\(545\) −7.88770 24.1969i −0.337872 1.03648i
\(546\) 7.54790 + 7.28892i 0.323020 + 0.311937i
\(547\) −9.83475 20.1642i −0.420503 0.862160i −0.998922 0.0464196i \(-0.985219\pi\)
0.578419 0.815740i \(-0.303670\pi\)
\(548\) −0.154835 + 4.43391i −0.00661424 + 0.189407i
\(549\) 2.84440 2.38673i 0.121396 0.101863i
\(550\) 5.76310 14.3433i 0.245740 0.611599i
\(551\) 11.6794 + 3.48926i 0.497561 + 0.148647i
\(552\) 0.404469 + 1.24483i 0.0172153 + 0.0529833i
\(553\) 2.91871 11.7063i 0.124116 0.497803i
\(554\) 14.5914 4.18402i 0.619930 0.177762i
\(555\) −0.704464 + 0.314457i −0.0299028 + 0.0133479i
\(556\) 0.621660 1.27459i 0.0263643 0.0540547i
\(557\) 43.7143 15.9107i 1.85224 0.674159i 0.868192 0.496228i \(-0.165282\pi\)
0.984043 0.177931i \(-0.0569403\pi\)
\(558\) −9.61756 + 4.28201i −0.407144 + 0.181272i
\(559\) −32.2394 + 6.85270i −1.36358 + 0.289838i
\(560\) −5.04871 + 5.61798i −0.213347 + 0.237403i
\(561\) −2.26773 + 5.61282i −0.0957435 + 0.236974i
\(562\) −35.6993 + 7.58812i −1.50588 + 0.320086i
\(563\) 28.5750 + 31.7358i 1.20429 + 1.33750i 0.926239 + 0.376937i \(0.123023\pi\)
0.278054 + 0.960566i \(0.410311\pi\)
\(564\) −3.26115 4.17408i −0.137319 0.175760i
\(565\) −2.43977 + 0.345271i −0.102642 + 0.0145257i
\(566\) 21.2652 + 11.3069i 0.893842 + 0.475264i
\(567\) 4.37262 + 6.48267i 0.183633 + 0.272247i
\(568\) −0.601825 + 0.504991i −0.0252520 + 0.0211890i
\(569\) 10.0683 + 7.31506i 0.422086 + 0.306663i 0.778476 0.627674i \(-0.215993\pi\)
−0.356391 + 0.934337i \(0.615993\pi\)
\(570\) 1.29858 28.8330i 0.0543915 1.20768i
\(571\) −28.0876 + 20.4069i −1.17543 + 0.854000i −0.991649 0.128967i \(-0.958834\pi\)
−0.183782 + 0.982967i \(0.558834\pi\)
\(572\) 0.847646 3.39972i 0.0354419 0.142150i
\(573\) −1.64673 + 47.1560i −0.0687929 + 1.96997i
\(574\) 0.395848 2.24496i 0.0165224 0.0937030i
\(575\) −0.672190 + 1.16944i −0.0280322 + 0.0487689i
\(576\) −4.07332 + 1.48257i −0.169722 + 0.0617736i
\(577\) 18.4954 + 3.93131i 0.769972 + 0.163663i 0.576117 0.817367i \(-0.304567\pi\)
0.193856 + 0.981030i \(0.437901\pi\)
\(578\) 20.4424 + 9.10155i 0.850292 + 0.378575i
\(579\) 29.6638 + 2.07429i 1.23279 + 0.0862047i
\(580\) −1.51109 + 1.68147i −0.0627445 + 0.0698193i
\(581\) 0.461265 4.38865i 0.0191365 0.182072i
\(582\) −2.28357 + 3.95527i −0.0946572 + 0.163951i
\(583\) 2.88676 + 0.827765i 0.119557 + 0.0342825i
\(584\) 28.4069 + 3.99232i 1.17548 + 0.165203i
\(585\) −3.83466 + 6.65654i −0.158543 + 0.275214i
\(586\) 0.606358 17.3638i 0.0250484 0.717293i
\(587\) 3.79799 + 9.40036i 0.156760 + 0.387994i 0.985041 0.172318i \(-0.0551256\pi\)
−0.828282 + 0.560312i \(0.810681\pi\)
\(588\) −1.39048 + 4.27945i −0.0573423 + 0.176481i
\(589\) −41.0518 + 8.25240i −1.69151 + 0.340034i
\(590\) −45.6994 + 13.1515i −1.88141 + 0.541438i
\(591\) −6.07761 15.0426i −0.250000 0.618771i
\(592\) −0.459785 0.681660i −0.0188971 0.0280160i
\(593\) 4.03854 22.9037i 0.165843 0.940543i −0.782348 0.622842i \(-0.785978\pi\)
0.948191 0.317701i \(-0.102911\pi\)
\(594\) 5.97211 12.2446i 0.245039 0.502404i
\(595\) 2.56839 0.00246116i 0.105294 0.000100898i
\(596\) 0.309747 + 2.94705i 0.0126877 + 0.120716i
\(597\) 13.9940 + 6.23052i 0.572735 + 0.254998i
\(598\) −0.748137 + 1.85171i −0.0305936 + 0.0757219i
\(599\) 9.09523 + 7.63181i 0.371621 + 0.311827i 0.809403 0.587254i \(-0.199791\pi\)
−0.437781 + 0.899081i \(0.644236\pi\)
\(600\) −21.4414 11.3479i −0.875340 0.463277i
\(601\) −5.78715 + 10.0236i −0.236063 + 0.408873i −0.959581 0.281433i \(-0.909190\pi\)
0.723518 + 0.690305i \(0.242524\pi\)
\(602\) 4.76125 + 6.09412i 0.194054 + 0.248378i
\(603\) −5.95929 5.75482i −0.242681 0.234354i
\(604\) 2.14973 + 4.40761i 0.0874715 + 0.179343i
\(605\) 13.1766 8.25120i 0.535703 0.335459i
\(606\) −5.38291 + 0.376410i −0.218666 + 0.0152906i
\(607\) 20.8495 0.846256 0.423128 0.906070i \(-0.360932\pi\)
0.423128 + 0.906070i \(0.360932\pi\)
\(608\) 8.73857 1.12972i 0.354396 0.0458164i
\(609\) −1.22483 + 3.76962i −0.0496324 + 0.152753i
\(610\) 0.641525 + 17.8796i 0.0259746 + 0.723925i
\(611\) −1.27833 + 36.6065i −0.0517155 + 1.48094i
\(612\) −0.355490 0.189017i −0.0143698 0.00764057i
\(613\) 14.0176 + 1.97005i 0.566166 + 0.0795694i 0.416448 0.909159i \(-0.363275\pi\)
0.149718 + 0.988729i \(0.452164\pi\)
\(614\) 14.8674 + 19.0294i 0.600000 + 0.767965i
\(615\) 8.66797 0.614471i 0.349526 0.0247779i
\(616\) 3.64444 0.774649i 0.146838 0.0312115i
\(617\) 10.3624 + 41.5615i 0.417176 + 1.67320i 0.700088 + 0.714056i \(0.253144\pi\)
−0.282912 + 0.959146i \(0.591300\pi\)
\(618\) 1.05516 + 0.885386i 0.0424448 + 0.0356154i
\(619\) 0.754809 7.18152i 0.0303383 0.288650i −0.968825 0.247747i \(-0.920310\pi\)
0.999163 0.0409030i \(-0.0130235\pi\)
\(620\) 1.87151 7.53698i 0.0751616 0.302692i
\(621\) −0.664764 + 0.985553i −0.0266760 + 0.0395489i
\(622\) 23.8304 + 23.0128i 0.955513 + 0.922728i
\(623\) −6.70460 + 0.942270i −0.268614 + 0.0377512i
\(624\) −40.0595 14.5805i −1.60366 0.583685i
\(625\) −6.14098 24.2340i −0.245639 0.969361i
\(626\) 12.4326 0.496906
\(627\) −10.5499 + 13.1997i −0.421322 + 0.527146i
\(628\) −2.41106 + 1.75173i −0.0962116 + 0.0699018i
\(629\) −0.0676390 + 0.271285i −0.00269694 + 0.0108169i
\(630\) 1.79822 + 0.124012i 0.0716429 + 0.00494078i
\(631\) −27.6645 + 26.7153i −1.10131 + 1.06352i −0.103685 + 0.994610i \(0.533063\pi\)
−0.997623 + 0.0689104i \(0.978048\pi\)
\(632\) 7.17150 + 40.6716i 0.285267 + 1.61783i
\(633\) −11.8413 3.39543i −0.470649 0.134956i
\(634\) −28.0786 31.1845i −1.11515 1.23849i
\(635\) 7.70961 15.8456i 0.305946 0.628812i
\(636\) −0.389568 + 0.964214i −0.0154474 + 0.0382336i
\(637\) 26.3874 16.4887i 1.04551 0.653304i
\(638\) 8.45650 1.79748i 0.334796 0.0711631i
\(639\) 0.217654 + 0.0462637i 0.00861025 + 0.00183017i
\(640\) 9.22056 28.4708i 0.364475 1.12541i
\(641\) 36.1353 + 5.07848i 1.42726 + 0.200588i 0.810118 0.586267i \(-0.199403\pi\)
0.617139 + 0.786854i \(0.288292\pi\)
\(642\) −40.0610 + 38.6865i −1.58108 + 1.52683i
\(643\) −19.0502 6.93369i −0.751265 0.273438i −0.0621270 0.998068i \(-0.519788\pi\)
−0.689138 + 0.724630i \(0.742011\pi\)
\(644\) 0.0715642 0.00500426i 0.00282002 0.000197195i
\(645\) −18.1274 + 23.2479i −0.713766 + 0.915385i
\(646\) −7.93810 6.81186i −0.312320 0.268009i
\(647\) 18.1204 13.1652i 0.712384 0.517578i −0.171558 0.985174i \(-0.554880\pi\)
0.883942 + 0.467596i \(0.154880\pi\)
\(648\) −22.6999 14.1845i −0.891736 0.557219i
\(649\) 26.1621 + 9.52221i 1.02695 + 0.373779i
\(650\) −13.9319 34.2932i −0.546453 1.34509i
\(651\) −2.36434 13.4088i −0.0926658 0.525534i
\(652\) 0.347897 + 0.445288i 0.0136247 + 0.0174388i
\(653\) −0.281069 2.67419i −0.0109991 0.104649i 0.987645 0.156708i \(-0.0500883\pi\)
−0.998644 + 0.0520590i \(0.983422\pi\)
\(654\) −30.7895 13.7084i −1.20397 0.536040i
\(655\) −17.8809 30.9021i −0.698663 1.20745i
\(656\) 2.24058 + 8.98648i 0.0874800 + 0.350863i
\(657\) −4.06243 7.03634i −0.158491 0.274514i
\(658\) 7.85142 3.49568i 0.306080 0.136276i
\(659\) −1.44097 41.2641i −0.0561324 1.60742i −0.622062 0.782968i \(-0.713705\pi\)
0.565930 0.824454i \(-0.308517\pi\)
\(660\) −1.37650 2.81540i −0.0535803 0.109589i
\(661\) 46.7640 6.57226i 1.81891 0.255631i 0.854389 0.519634i \(-0.173932\pi\)
0.964522 + 0.264003i \(0.0850430\pi\)
\(662\) 20.9379 26.7992i 0.813773 1.04158i
\(663\) 5.43030 + 13.4405i 0.210895 + 0.521984i
\(664\) 4.66791 + 14.3663i 0.181150 + 0.557522i
\(665\) 6.87120 + 2.04562i 0.266454 + 0.0793257i
\(666\) −0.0606342 + 0.186613i −0.00234953 + 0.00723110i
\(667\) −0.752570 + 0.0526248i −0.0291396 + 0.00203764i
\(668\) −3.26185 1.18722i −0.126205 0.0459348i
\(669\) −29.7254 + 28.7055i −1.14925 + 1.10982i
\(670\) 39.5236 5.59330i 1.52693 0.216088i
\(671\) 5.85729 8.68380i 0.226118 0.335234i
\(672\) 0.299488 + 2.84944i 0.0115530 + 0.109920i
\(673\) −2.61712 + 2.90661i −0.100883 + 0.112042i −0.791472 0.611206i \(-0.790685\pi\)
0.690589 + 0.723247i \(0.257351\pi\)
\(674\) 27.3391 + 22.9402i 1.05306 + 0.883625i
\(675\) −3.86762 21.6912i −0.148865 0.834893i
\(676\) −1.84514 3.19587i −0.0709668 0.122918i
\(677\) −28.4911 6.05598i −1.09500 0.232750i −0.375211 0.926939i \(-0.622430\pi\)
−0.719793 + 0.694189i \(0.755763\pi\)
\(678\) −1.82473 + 2.70528i −0.0700784 + 0.103896i
\(679\) −0.816060 0.788060i −0.0313175 0.0302430i
\(680\) −8.02840 + 3.58370i −0.307875 + 0.137428i
\(681\) −15.0198 22.2678i −0.575560 0.853302i
\(682\) −22.7503 + 19.0898i −0.871156 + 0.730986i
\(683\) 6.81327 + 4.95013i 0.260703 + 0.189411i 0.710457 0.703741i \(-0.248488\pi\)
−0.449754 + 0.893152i \(0.648488\pi\)
\(684\) −0.799740 0.789577i −0.0305788 0.0301902i
\(685\) 0.931374 27.4245i 0.0355860 1.04784i
\(686\) −12.9015 8.06176i −0.492582 0.307799i
\(687\) 19.2722 24.6673i 0.735282 0.941118i
\(688\) −27.7422 14.7508i −1.05766 0.562369i
\(689\) 6.34946 3.37607i 0.241895 0.128618i
\(690\) 0.553619 + 1.69832i 0.0210759 + 0.0646541i
\(691\) 19.7404 + 21.9240i 0.750961 + 0.834026i 0.990594 0.136837i \(-0.0436937\pi\)
−0.239633 + 0.970864i \(0.577027\pi\)
\(692\) 0.398320 3.78977i 0.0151419 0.144065i
\(693\) −0.808398 0.678327i −0.0307085 0.0257675i
\(694\) 4.15944 + 16.6826i 0.157890 + 0.633264i
\(695\) −3.83739 + 7.88700i −0.145561 + 0.299171i
\(696\) −1.41824 13.4937i −0.0537583 0.511476i
\(697\) 1.76107 2.61089i 0.0667052 0.0988945i
\(698\) 18.0464 9.59545i 0.683067 0.363193i
\(699\) −6.56375 + 37.2249i −0.248264 + 1.40797i
\(700\) −0.887796 + 0.989805i −0.0335555 + 0.0374111i
\(701\) −13.8030 + 11.5821i −0.521332 + 0.437449i −0.865096 0.501607i \(-0.832742\pi\)
0.343764 + 0.939056i \(0.388298\pi\)
\(702\) −10.0809 31.0259i −0.380480 1.17100i
\(703\) −0.397666 + 0.671516i −0.0149983 + 0.0253267i
\(704\) −9.89281 + 7.18755i −0.372849 + 0.270891i
\(705\) 20.1948 + 25.7972i 0.760581 + 0.971579i
\(706\) −6.58595 9.76407i −0.247865 0.367476i
\(707\) 0.232750 1.31999i 0.00875347 0.0496434i
\(708\) −4.22636 + 8.66532i −0.158836 + 0.325663i
\(709\) 1.58815 + 45.4788i 0.0596444 + 1.70799i 0.548930 + 0.835868i \(0.315035\pi\)
−0.489286 + 0.872123i \(0.662743\pi\)
\(710\) −0.820668 + 0.689964i −0.0307991 + 0.0258939i
\(711\) 7.82702 8.69278i 0.293536 0.326005i
\(712\) 19.6546 12.2815i 0.736587 0.460271i
\(713\) 2.19773 1.37329i 0.0823056 0.0514303i
\(714\) 2.27591 2.52765i 0.0851737 0.0945950i
\(715\) −5.22252 + 21.0322i −0.195311 + 0.786560i
\(716\) −0.185682 5.31723i −0.00693925 0.198714i
\(717\) 7.50994 15.3977i 0.280464 0.575036i
\(718\) 8.01898 45.4779i 0.299266 1.69722i
\(719\) −4.77953 7.08595i −0.178247 0.264261i 0.729317 0.684176i \(-0.239838\pi\)
−0.907564 + 0.419914i \(0.862060\pi\)
\(720\) −6.87916 + 2.51128i −0.256371 + 0.0935898i
\(721\) −0.276800 + 0.201107i −0.0103086 + 0.00748961i
\(722\) −15.7879 24.5613i −0.587564 0.914076i
\(723\) −10.3040 31.7125i −0.383210 1.17940i
\(724\) 2.96571 2.48852i 0.110220 0.0924853i
\(725\) 9.33607 10.4088i 0.346733 0.386573i
\(726\) 3.57516 20.2757i 0.132687 0.752503i
\(727\) −17.8305 + 9.48062i −0.661295 + 0.351617i −0.765958 0.642891i \(-0.777735\pi\)
0.104663 + 0.994508i \(0.466624\pi\)
\(728\) 4.98908 7.39661i 0.184907 0.274137i
\(729\) −1.87031 17.7948i −0.0692709 0.659068i
\(730\) 38.7729 + 5.41130i 1.43505 + 0.200281i
\(731\) 2.58470 + 10.3667i 0.0955986 + 0.383425i
\(732\) 2.77861 + 2.33153i 0.102700 + 0.0861759i
\(733\) 1.76498 16.7926i 0.0651909 0.620250i −0.912336 0.409441i \(-0.865724\pi\)
0.977527 0.210809i \(-0.0676097\pi\)
\(734\) 1.41245 + 1.56868i 0.0521343 + 0.0579011i
\(735\) 8.57470 26.4765i 0.316282 0.976601i
\(736\) −0.481498 + 0.256017i −0.0177482 + 0.00943690i
\(737\) −20.6345 10.9716i −0.760083 0.404143i
\(738\) 1.36072 1.74164i 0.0500888 0.0641108i
\(739\) −25.1680 15.7267i −0.925820 0.578517i −0.0189011 0.999821i \(-0.506017\pi\)
−0.906919 + 0.421305i \(0.861572\pi\)
\(740\) −0.0810528 0.119918i −0.00297956 0.00440826i
\(741\) 3.78427 + 40.2859i 0.139019 + 1.47994i
\(742\) −1.36507 0.991782i −0.0501133 0.0364095i
\(743\) −32.5455 + 27.3089i −1.19398 + 1.00187i −0.194196 + 0.980963i \(0.562210\pi\)
−0.999782 + 0.0209034i \(0.993346\pi\)
\(744\) 26.0630 + 38.6400i 0.955517 + 1.41661i
\(745\) −1.93324 18.2256i −0.0708286 0.667733i
\(746\) −22.8821 22.0970i −0.837774 0.809029i
\(747\) 2.39247 3.54699i 0.0875360 0.129777i
\(748\) −1.11095 0.236140i −0.0406205 0.00863415i
\(749\) −6.91673 11.9801i −0.252732 0.437745i
\(750\) −29.2765 15.4588i −1.06903 0.564476i
\(751\) 30.8572 + 25.8922i 1.12599 + 0.944821i 0.998892 0.0470685i \(-0.0149879\pi\)
0.127102 + 0.991890i \(0.459432\pi\)
\(752\) −23.3645 + 25.9489i −0.852016 + 0.946260i
\(753\) 4.03450 + 38.3857i 0.147025 + 1.39885i
\(754\) 11.5766 17.1630i 0.421594 0.625039i
\(755\) −13.3222 27.2482i −0.484843 0.991663i
\(756\) −0.842949 + 0.814027i −0.0306578 + 0.0296059i
\(757\) −24.3313 8.85587i −0.884336 0.321872i −0.140378 0.990098i \(-0.544832\pi\)
−0.743958 + 0.668226i \(0.767054\pi\)
\(758\) 0.718314 0.0502294i 0.0260903 0.00182441i
\(759\) 0.323169 0.994612i 0.0117303 0.0361021i
\(760\) −24.3357 + 3.16984i −0.882748 + 0.114982i
\(761\) −2.51329 7.73511i −0.0911066 0.280397i 0.895113 0.445840i \(-0.147095\pi\)
−0.986219 + 0.165442i \(0.947095\pi\)
\(762\) −8.74185 21.6368i −0.316684 0.783820i
\(763\) 5.15416 6.59702i 0.186593 0.238828i
\(764\) −8.76659 + 1.23206i −0.317164 + 0.0445745i
\(765\) 2.19981 + 1.16696i 0.0795344 + 0.0421915i
\(766\) −0.371982 10.6522i −0.0134403 0.384879i
\(767\) 60.9044 27.1164i 2.19913 0.979116i
\(768\) −8.10316 14.0351i −0.292398 0.506448i
\(769\) 4.43490 + 17.7874i 0.159927 + 0.641431i 0.995723 + 0.0923911i \(0.0294510\pi\)
−0.835796 + 0.549040i \(0.814993\pi\)
\(770\) 4.97266 1.06195i 0.179202 0.0382701i