Properties

Label 475.2.bc.a.6.16
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 6.16
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.954295 - 0.596310i) q^{2} +(-0.197845 + 0.0567310i) q^{3} +(-0.321648 - 0.659477i) q^{4} +(-2.23191 + 0.136321i) q^{5} +(0.222632 + 0.0638386i) q^{6} +(0.295393 - 0.511636i) q^{7} +(-0.321554 + 3.05938i) q^{8} +(-2.50822 + 1.56731i) q^{9} +O(q^{10})\) \(q+(-0.954295 - 0.596310i) q^{2} +(-0.197845 + 0.0567310i) q^{3} +(-0.321648 - 0.659477i) q^{4} +(-2.23191 + 0.136321i) q^{5} +(0.222632 + 0.0638386i) q^{6} +(0.295393 - 0.511636i) q^{7} +(-0.321554 + 3.05938i) q^{8} +(-2.50822 + 1.56731i) q^{9} +(2.21119 + 1.20082i) q^{10} +(2.24356 - 2.49173i) q^{11} +(0.101049 + 0.112226i) q^{12} +(0.122965 + 3.52125i) q^{13} +(-0.586986 + 0.312106i) q^{14} +(0.433838 - 0.153589i) q^{15} +(1.22773 - 1.57142i) q^{16} +(3.49439 - 0.244351i) q^{17} +3.32819 q^{18} +(-3.40648 + 2.71955i) q^{19} +(0.807790 + 1.42804i) q^{20} +(-0.0294163 + 0.117983i) q^{21} +(-3.62686 + 1.03999i) q^{22} +(5.85857 - 0.823369i) q^{23} +(-0.109944 - 0.623524i) q^{24} +(4.96283 - 0.608510i) q^{25} +(1.98241 - 3.43364i) q^{26} +(0.820480 - 0.911235i) q^{27} +(-0.432425 - 0.0302381i) q^{28} +(9.33111 + 0.652495i) q^{29} +(-0.505596 - 0.112133i) q^{30} +(-8.83725 + 3.93460i) q^{31} +(3.67275 - 1.33677i) q^{32} +(-0.302518 + 0.620254i) q^{33} +(-3.48039 - 1.85056i) q^{34} +(-0.589545 + 1.18219i) q^{35} +(1.84037 + 1.14999i) q^{36} +(0.775880 - 2.38791i) q^{37} +(4.87248 - 0.563934i) q^{38} +(-0.224092 - 0.689685i) q^{39} +(0.300622 - 6.87209i) q^{40} +(-4.01116 + 5.13405i) q^{41} +(0.0984260 - 0.0950489i) q^{42} +(0.376457 + 2.13499i) q^{43} +(-2.36487 - 0.678116i) q^{44} +(5.38446 - 3.84001i) q^{45} +(-6.08179 - 2.70779i) q^{46} +(4.08596 + 0.285718i) q^{47} +(-0.153751 + 0.380548i) q^{48} +(3.32549 + 5.75991i) q^{49} +(-5.09887 - 2.37869i) q^{50} +(-0.677484 + 0.246584i) q^{51} +(2.28263 - 1.21370i) q^{52} +(5.57053 + 11.4213i) q^{53} +(-1.32636 + 0.380327i) q^{54} +(-4.66775 + 5.86715i) q^{55} +(1.47030 + 1.06824i) q^{56} +(0.519670 - 0.731300i) q^{57} +(-8.51555 - 6.18691i) q^{58} +(0.979643 + 2.42470i) q^{59} +(-0.240831 - 0.236704i) q^{60} +(1.41079 - 0.198273i) q^{61} +(10.7796 + 1.51497i) q^{62} +(0.0609811 + 1.74627i) q^{63} +(-8.20319 - 1.74364i) q^{64} +(-0.754465 - 7.84234i) q^{65} +(0.658555 - 0.411511i) q^{66} +(-0.446531 - 1.79094i) q^{67} +(-1.28511 - 2.22587i) q^{68} +(-1.11238 + 0.495262i) q^{69} +(1.26755 - 0.776611i) q^{70} +(-5.43881 - 5.25220i) q^{71} +(-3.98847 - 8.17757i) q^{72} +(-0.220409 + 6.31167i) q^{73} +(-2.16435 + 1.81611i) q^{74} +(-0.947349 + 0.401937i) q^{75} +(2.88916 + 1.37175i) q^{76} +(-0.612125 - 1.88393i) q^{77} +(-0.197416 + 0.791791i) q^{78} +(0.559080 - 0.160314i) q^{79} +(-2.52596 + 3.67464i) q^{80} +(3.77900 - 7.74810i) q^{81} +(6.88931 - 2.50750i) q^{82} +(-2.47214 + 1.10067i) q^{83} +(0.0872684 - 0.0185495i) q^{84} +(-7.76585 + 1.02173i) q^{85} +(0.913866 - 2.26190i) q^{86} +(-1.88313 + 0.400271i) q^{87} +(6.90170 + 7.66512i) q^{88} +(0.114230 + 0.146208i) q^{89} +(-7.42821 + 0.453700i) q^{90} +(1.83792 + 0.977241i) q^{91} +(-2.42739 - 3.59876i) q^{92} +(1.52519 - 1.27979i) q^{93} +(-3.72883 - 2.70916i) q^{94} +(7.23221 - 6.53415i) q^{95} +(-0.650797 + 0.472832i) q^{96} +(-2.06313 + 8.27475i) q^{97} +(0.261196 - 7.47968i) q^{98} +(-1.72204 + 9.76615i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.954295 0.596310i −0.674789 0.421655i 0.148781 0.988870i \(-0.452465\pi\)
−0.823569 + 0.567215i \(0.808021\pi\)
\(3\) −0.197845 + 0.0567310i −0.114226 + 0.0327537i −0.332263 0.943187i \(-0.607812\pi\)
0.218038 + 0.975940i \(0.430034\pi\)
\(4\) −0.321648 0.659477i −0.160824 0.329738i
\(5\) −2.23191 + 0.136321i −0.998140 + 0.0609644i
\(6\) 0.222632 + 0.0638386i 0.0908889 + 0.0260620i
\(7\) 0.295393 0.511636i 0.111648 0.193380i −0.804787 0.593564i \(-0.797720\pi\)
0.916435 + 0.400184i \(0.131054\pi\)
\(8\) −0.321554 + 3.05938i −0.113686 + 1.08165i
\(9\) −2.50822 + 1.56731i −0.836073 + 0.522437i
\(10\) 2.21119 + 1.20082i 0.699239 + 0.379732i
\(11\) 2.24356 2.49173i 0.676459 0.751284i −0.302986 0.952995i \(-0.597984\pi\)
0.979445 + 0.201711i \(0.0646503\pi\)
\(12\) 0.101049 + 0.112226i 0.0291704 + 0.0323970i
\(13\) 0.122965 + 3.52125i 0.0341043 + 0.976619i 0.889025 + 0.457859i \(0.151384\pi\)
−0.854920 + 0.518759i \(0.826394\pi\)
\(14\) −0.586986 + 0.312106i −0.156879 + 0.0834139i
\(15\) 0.433838 0.153589i 0.112016 0.0396565i
\(16\) 1.22773 1.57142i 0.306932 0.392856i
\(17\) 3.49439 0.244351i 0.847514 0.0592639i 0.360607 0.932718i \(-0.382570\pi\)
0.486907 + 0.873454i \(0.338125\pi\)
\(18\) 3.32819 0.784461
\(19\) −3.40648 + 2.71955i −0.781499 + 0.623906i
\(20\) 0.807790 + 1.42804i 0.180627 + 0.319320i
\(21\) −0.0294163 + 0.117983i −0.00641917 + 0.0257459i
\(22\) −3.62686 + 1.03999i −0.773249 + 0.221726i
\(23\) 5.85857 0.823369i 1.22160 0.171684i 0.501253 0.865301i \(-0.332873\pi\)
0.720344 + 0.693617i \(0.243984\pi\)
\(24\) −0.109944 0.623524i −0.0224422 0.127276i
\(25\) 4.96283 0.608510i 0.992567 0.121702i
\(26\) 1.98241 3.43364i 0.388783 0.673392i
\(27\) 0.820480 0.911235i 0.157901 0.175367i
\(28\) −0.432425 0.0302381i −0.0817206 0.00571446i
\(29\) 9.33111 + 0.652495i 1.73274 + 0.121165i 0.900951 0.433920i \(-0.142870\pi\)
0.831793 + 0.555086i \(0.187315\pi\)
\(30\) −0.505596 0.112133i −0.0923087 0.0204725i
\(31\) −8.83725 + 3.93460i −1.58722 + 0.706674i −0.995072 0.0991574i \(-0.968385\pi\)
−0.592145 + 0.805832i \(0.701719\pi\)
\(32\) 3.67275 1.33677i 0.649256 0.236310i
\(33\) −0.302518 + 0.620254i −0.0526617 + 0.107972i
\(34\) −3.48039 1.85056i −0.596882 0.317368i
\(35\) −0.589545 + 1.18219i −0.0996512 + 0.199827i
\(36\) 1.84037 + 1.14999i 0.306728 + 0.191665i
\(37\) 0.775880 2.38791i 0.127554 0.392570i −0.866804 0.498649i \(-0.833830\pi\)
0.994358 + 0.106079i \(0.0338296\pi\)
\(38\) 4.87248 0.563934i 0.790420 0.0914822i
\(39\) −0.224092 0.689685i −0.0358835 0.110438i
\(40\) 0.300622 6.87209i 0.0475325 1.08657i
\(41\) −4.01116 + 5.13405i −0.626437 + 0.801803i −0.991628 0.129130i \(-0.958782\pi\)
0.365190 + 0.930933i \(0.381004\pi\)
\(42\) 0.0984260 0.0950489i 0.0151875 0.0146664i
\(43\) 0.376457 + 2.13499i 0.0574091 + 0.325583i 0.999964 0.00846765i \(-0.00269537\pi\)
−0.942555 + 0.334051i \(0.891584\pi\)
\(44\) −2.36487 0.678116i −0.356518 0.102230i
\(45\) 5.38446 3.84001i 0.802668 0.572436i
\(46\) −6.08179 2.70779i −0.896711 0.399242i
\(47\) 4.08596 + 0.285718i 0.595998 + 0.0416762i 0.364570 0.931176i \(-0.381216\pi\)
0.231428 + 0.972852i \(0.425660\pi\)
\(48\) −0.153751 + 0.380548i −0.0221921 + 0.0549274i
\(49\) 3.32549 + 5.75991i 0.475069 + 0.822844i
\(50\) −5.09887 2.37869i −0.721089 0.336397i
\(51\) −0.677484 + 0.246584i −0.0948667 + 0.0345287i
\(52\) 2.28263 1.21370i 0.316544 0.168309i
\(53\) 5.57053 + 11.4213i 0.765172 + 1.56883i 0.821357 + 0.570414i \(0.193217\pi\)
−0.0561858 + 0.998420i \(0.517894\pi\)
\(54\) −1.32636 + 0.380327i −0.180495 + 0.0517560i
\(55\) −4.66775 + 5.86715i −0.629399 + 0.791126i
\(56\) 1.47030 + 1.06824i 0.196478 + 0.142749i
\(57\) 0.519670 0.731300i 0.0688320 0.0968631i
\(58\) −8.51555 6.18691i −1.11815 0.812381i
\(59\) 0.979643 + 2.42470i 0.127539 + 0.315669i 0.977420 0.211304i \(-0.0677711\pi\)
−0.849882 + 0.526974i \(0.823327\pi\)
\(60\) −0.240831 0.236704i −0.0310912 0.0305584i
\(61\) 1.41079 0.198273i 0.180633 0.0253863i −0.0482766 0.998834i \(-0.515373\pi\)
0.228909 + 0.973448i \(0.426484\pi\)
\(62\) 10.7796 + 1.51497i 1.36901 + 0.192402i
\(63\) 0.0609811 + 1.74627i 0.00768290 + 0.220009i
\(64\) −8.20319 1.74364i −1.02540 0.217955i
\(65\) −0.754465 7.84234i −0.0935798 0.972723i
\(66\) 0.658555 0.411511i 0.0810626 0.0506535i
\(67\) −0.446531 1.79094i −0.0545525 0.218798i 0.936832 0.349778i \(-0.113743\pi\)
−0.991385 + 0.130980i \(0.958188\pi\)
\(68\) −1.28511 2.22587i −0.155842 0.269927i
\(69\) −1.11238 + 0.495262i −0.133914 + 0.0596226i
\(70\) 1.26755 0.776611i 0.151502 0.0928228i
\(71\) −5.43881 5.25220i −0.645468 0.623322i 0.298086 0.954539i \(-0.403652\pi\)
−0.943554 + 0.331217i \(0.892541\pi\)
\(72\) −3.98847 8.17757i −0.470045 0.963735i
\(73\) −0.220409 + 6.31167i −0.0257969 + 0.738726i 0.915731 + 0.401791i \(0.131612\pi\)
−0.941528 + 0.336934i \(0.890610\pi\)
\(74\) −2.16435 + 1.81611i −0.251601 + 0.211118i
\(75\) −0.947349 + 0.401937i −0.109390 + 0.0464117i
\(76\) 2.88916 + 1.37175i 0.331410 + 0.157351i
\(77\) −0.612125 1.88393i −0.0697581 0.214693i
\(78\) −0.197416 + 0.791791i −0.0223529 + 0.0896527i
\(79\) 0.559080 0.160314i 0.0629015 0.0180367i −0.244039 0.969765i \(-0.578473\pi\)
0.306941 + 0.951729i \(0.400695\pi\)
\(80\) −2.52596 + 3.67464i −0.282411 + 0.410837i
\(81\) 3.77900 7.74810i 0.419889 0.860900i
\(82\) 6.88931 2.50750i 0.760797 0.276907i
\(83\) −2.47214 + 1.10067i −0.271353 + 0.120814i −0.537902 0.843007i \(-0.680783\pi\)
0.266549 + 0.963821i \(0.414116\pi\)
\(84\) 0.0872684 0.0185495i 0.00952177 0.00202391i
\(85\) −7.76585 + 1.02173i −0.842324 + 0.110822i
\(86\) 0.913866 2.26190i 0.0985447 0.243907i
\(87\) −1.88313 + 0.400271i −0.201893 + 0.0429136i
\(88\) 6.90170 + 7.66512i 0.735724 + 0.817105i
\(89\) 0.114230 + 0.146208i 0.0121084 + 0.0154980i 0.794027 0.607883i \(-0.207981\pi\)
−0.781918 + 0.623381i \(0.785759\pi\)
\(90\) −7.42821 + 0.453700i −0.783002 + 0.0478242i
\(91\) 1.83792 + 0.977241i 0.192667 + 0.102443i
\(92\) −2.42739 3.59876i −0.253073 0.375196i
\(93\) 1.52519 1.27979i 0.158155 0.132708i
\(94\) −3.72883 2.70916i −0.384600 0.279428i
\(95\) 7.23221 6.53415i 0.742009 0.670390i
\(96\) −0.650797 + 0.472832i −0.0664217 + 0.0482582i
\(97\) −2.06313 + 8.27475i −0.209479 + 0.840173i 0.769904 + 0.638160i \(0.220304\pi\)
−0.979383 + 0.202014i \(0.935251\pi\)
\(98\) 0.261196 7.47968i 0.0263848 0.755561i
\(99\) −1.72204 + 9.76615i −0.173071 + 0.981535i
\(100\) −1.99758 3.07715i −0.199758 0.307715i
\(101\) −9.23053 + 3.35964i −0.918472 + 0.334297i −0.757631 0.652684i \(-0.773643\pi\)
−0.160842 + 0.986980i \(0.551421\pi\)
\(102\) 0.793560 + 0.168676i 0.0785742 + 0.0167015i
\(103\) 1.49286 + 0.664664i 0.147096 + 0.0654913i 0.478964 0.877834i \(-0.341012\pi\)
−0.331868 + 0.943326i \(0.607679\pi\)
\(104\) −10.8124 0.756075i −1.06024 0.0741392i
\(105\) 0.0495712 0.267336i 0.00483765 0.0260894i
\(106\) 1.49469 14.2210i 0.145177 1.38127i
\(107\) −0.242314 + 0.419700i −0.0234254 + 0.0405739i −0.877500 0.479576i \(-0.840791\pi\)
0.854075 + 0.520150i \(0.174124\pi\)
\(108\) −0.864844 0.247990i −0.0832196 0.0238628i
\(109\) −13.5306 1.90160i −1.29600 0.182140i −0.542759 0.839889i \(-0.682620\pi\)
−0.753238 + 0.657748i \(0.771509\pi\)
\(110\) 7.95305 2.81557i 0.758293 0.268454i
\(111\) −0.0180349 + 0.516452i −0.00171180 + 0.0490195i
\(112\) −0.441334 1.09234i −0.0417021 0.103216i
\(113\) −2.16603 + 6.66635i −0.203763 + 0.627117i 0.795999 + 0.605298i \(0.206946\pi\)
−0.999762 + 0.0218195i \(0.993054\pi\)
\(114\) −0.932001 + 0.387992i −0.0872899 + 0.0363388i
\(115\) −12.9636 + 2.63633i −1.20886 + 0.245839i
\(116\) −2.57103 6.36352i −0.238714 0.590838i
\(117\) −5.82731 8.63935i −0.538735 0.798708i
\(118\) 0.511005 2.89805i 0.0470418 0.266787i
\(119\) 0.907200 1.86004i 0.0831629 0.170509i
\(120\) 0.330384 + 1.37666i 0.0301598 + 0.125671i
\(121\) −0.0253228 0.240931i −0.00230208 0.0219028i
\(122\) −1.46454 0.652055i −0.132593 0.0590343i
\(123\) 0.502326 1.24330i 0.0452932 0.112105i
\(124\) 5.43726 + 4.56240i 0.488280 + 0.409716i
\(125\) −10.9936 + 2.03467i −0.983301 + 0.181987i
\(126\) 0.983124 1.70282i 0.0875837 0.151699i
\(127\) 9.49317 + 12.1507i 0.842383 + 1.07820i 0.995936 + 0.0900603i \(0.0287060\pi\)
−0.153554 + 0.988140i \(0.549072\pi\)
\(128\) 1.16550 + 1.12551i 0.103016 + 0.0994817i
\(129\) −0.195600 0.401040i −0.0172216 0.0353096i
\(130\) −3.95649 + 7.93381i −0.347007 + 0.695841i
\(131\) 2.44516 0.170982i 0.213634 0.0149388i 0.0374618 0.999298i \(-0.488073\pi\)
0.176173 + 0.984359i \(0.443628\pi\)
\(132\) 0.506347 0.0440719
\(133\) 0.385168 + 2.54621i 0.0333983 + 0.220785i
\(134\) −0.641832 + 1.97536i −0.0554459 + 0.170645i
\(135\) −1.70702 + 2.14564i −0.146917 + 0.184667i
\(136\) −0.376070 + 10.7692i −0.0322477 + 0.923453i
\(137\) 12.0030 + 6.38211i 1.02549 + 0.545261i 0.894942 0.446182i \(-0.147217\pi\)
0.130544 + 0.991443i \(0.458328\pi\)
\(138\) 1.35687 + 0.190695i 0.115504 + 0.0162330i
\(139\) −9.93995 12.7225i −0.843095 1.07911i −0.995865 0.0908507i \(-0.971041\pi\)
0.152769 0.988262i \(-0.451181\pi\)
\(140\) 0.969255 + 0.00854028i 0.0819170 + 0.000721786i
\(141\) −0.824594 + 0.175273i −0.0694433 + 0.0147606i
\(142\) 2.05829 + 8.25537i 0.172728 + 0.692775i
\(143\) 9.04987 + 7.59374i 0.756788 + 0.635020i
\(144\) −0.616511 + 5.86571i −0.0513759 + 0.488809i
\(145\) −20.9151 0.184287i −1.73691 0.0153042i
\(146\) 3.97405 5.89177i 0.328895 0.487606i
\(147\) −0.984695 0.950909i −0.0812163 0.0784297i
\(148\) −1.82433 + 0.256393i −0.149959 + 0.0210754i
\(149\) −15.2090 5.53563i −1.24597 0.453496i −0.366933 0.930247i \(-0.619592\pi\)
−0.879038 + 0.476751i \(0.841814\pi\)
\(150\) 1.14373 + 0.181347i 0.0933851 + 0.0148069i
\(151\) −1.75467 −0.142793 −0.0713965 0.997448i \(-0.522746\pi\)
−0.0713965 + 0.997448i \(0.522746\pi\)
\(152\) −7.22475 11.2962i −0.586005 0.916241i
\(153\) −8.38172 + 6.08968i −0.677622 + 0.492321i
\(154\) −0.539256 + 2.16284i −0.0434545 + 0.174286i
\(155\) 19.1876 9.98636i 1.54118 0.802123i
\(156\) −0.382752 + 0.369619i −0.0306447 + 0.0295932i
\(157\) −4.11185 23.3195i −0.328162 1.86110i −0.486456 0.873705i \(-0.661710\pi\)
0.158294 0.987392i \(-0.449401\pi\)
\(158\) −0.629124 0.180399i −0.0500505 0.0143517i
\(159\) −1.75004 1.94362i −0.138787 0.154139i
\(160\) −8.01501 + 3.48422i −0.633642 + 0.275452i
\(161\) 1.30932 3.24068i 0.103189 0.255401i
\(162\) −8.22655 + 5.14052i −0.646339 + 0.403877i
\(163\) −4.67333 + 0.993348i −0.366044 + 0.0778050i −0.387262 0.921970i \(-0.626579\pi\)
0.0212179 + 0.999775i \(0.493246\pi\)
\(164\) 4.67596 + 0.993907i 0.365131 + 0.0776111i
\(165\) 0.590640 1.42559i 0.0459812 0.110982i
\(166\) 3.01550 + 0.423800i 0.234048 + 0.0328933i
\(167\) 10.1379 9.79004i 0.784493 0.757576i −0.190051 0.981774i \(-0.560865\pi\)
0.974544 + 0.224198i \(0.0719764\pi\)
\(168\) −0.351494 0.127933i −0.0271184 0.00987028i
\(169\) 0.584255 0.0408551i 0.0449427 0.00314270i
\(170\) 8.02018 + 3.65582i 0.615119 + 0.280389i
\(171\) 4.28182 12.1602i 0.327439 0.929915i
\(172\) 1.28689 0.934981i 0.0981245 0.0712916i
\(173\) −19.0389 11.8968i −1.44750 0.904498i −0.999948 0.0102405i \(-0.996740\pi\)
−0.447552 0.894258i \(-0.647704\pi\)
\(174\) 2.03575 + 0.740951i 0.154329 + 0.0561713i
\(175\) 1.15465 2.71892i 0.0872835 0.205531i
\(176\) −1.16107 6.58475i −0.0875188 0.496344i
\(177\) −0.331373 0.424138i −0.0249075 0.0318802i
\(178\) −0.0218241 0.207642i −0.00163578 0.0155635i
\(179\) 21.9632 + 9.77864i 1.64161 + 0.730890i 0.999366 0.0356135i \(-0.0113385\pi\)
0.642240 + 0.766503i \(0.278005\pi\)
\(180\) −4.26430 2.31579i −0.317842 0.172609i
\(181\) 1.92090 + 7.70432i 0.142779 + 0.572657i 0.998476 + 0.0551800i \(0.0175733\pi\)
−0.855697 + 0.517477i \(0.826871\pi\)
\(182\) −1.17118 2.02855i −0.0868138 0.150366i
\(183\) −0.267869 + 0.119263i −0.0198014 + 0.00881616i
\(184\) 0.635151 + 18.1883i 0.0468240 + 1.34086i
\(185\) −1.40617 + 5.43537i −0.103384 + 0.399616i
\(186\) −2.21863 + 0.311808i −0.162678 + 0.0228629i
\(187\) 7.23101 9.25527i 0.528784 0.676813i
\(188\) −1.12582 2.78649i −0.0821086 0.203226i
\(189\) −0.223857 0.688960i −0.0162832 0.0501145i
\(190\) −10.7980 + 1.92287i −0.783372 + 0.139500i
\(191\) 1.57172 4.83727i 0.113726 0.350012i −0.877953 0.478746i \(-0.841091\pi\)
0.991679 + 0.128734i \(0.0410914\pi\)
\(192\) 1.72188 0.120405i 0.124266 0.00868950i
\(193\) 16.0468 + 5.84056i 1.15507 + 0.420413i 0.847335 0.531058i \(-0.178205\pi\)
0.307739 + 0.951471i \(0.400428\pi\)
\(194\) 6.90315 6.66629i 0.495617 0.478612i
\(195\) 0.594171 + 1.50876i 0.0425495 + 0.108045i
\(196\) 2.72889 4.04574i 0.194921 0.288982i
\(197\) 1.96642 + 18.7093i 0.140102 + 1.33298i 0.808200 + 0.588908i \(0.200442\pi\)
−0.668098 + 0.744073i \(0.732892\pi\)
\(198\) 7.46698 8.29292i 0.530655 0.589353i
\(199\) 16.3103 + 13.6859i 1.15620 + 0.970170i 0.999846 0.0175305i \(-0.00558043\pi\)
0.156357 + 0.987701i \(0.450025\pi\)
\(200\) 0.265845 + 15.3788i 0.0187981 + 1.08745i
\(201\) 0.189946 + 0.328996i 0.0133977 + 0.0232056i
\(202\) 10.8120 + 2.29817i 0.760732 + 0.161699i
\(203\) 3.09019 4.58140i 0.216889 0.321551i
\(204\) 0.380528 + 0.367471i 0.0266423 + 0.0257281i
\(205\) 8.25266 12.0055i 0.576391 0.838502i
\(206\) −1.02828 1.52449i −0.0716439 0.106216i
\(207\) −13.4041 + 11.2474i −0.931651 + 0.781748i
\(208\) 5.68434 + 4.12991i 0.394138 + 0.286358i
\(209\) −0.866271 + 14.5895i −0.0599212 + 1.00917i
\(210\) −0.206721 + 0.225558i −0.0142651 + 0.0155650i
\(211\) 20.4213 + 12.7606i 1.40586 + 0.878478i 0.999381 0.0351825i \(-0.0112013\pi\)
0.406478 + 0.913661i \(0.366757\pi\)
\(212\) 5.74032 7.34727i 0.394247 0.504613i
\(213\) 1.37400 + 0.730570i 0.0941452 + 0.0500579i
\(214\) 0.481510 0.256024i 0.0329154 0.0175014i
\(215\) −1.13126 4.71379i −0.0771513 0.321478i
\(216\) 2.52398 + 2.80317i 0.171735 + 0.190731i
\(217\) −0.597382 + 5.68371i −0.0405529 + 0.385835i
\(218\) 11.7782 + 9.88312i 0.797724 + 0.669370i
\(219\) −0.314461 1.26124i −0.0212493 0.0852264i
\(220\) 5.37062 + 1.19111i 0.362087 + 0.0803048i
\(221\) 1.29011 + 12.2746i 0.0867821 + 0.825677i
\(222\) 0.325176 0.482094i 0.0218244 0.0323560i
\(223\) 6.78845 3.60948i 0.454588 0.241709i −0.226355 0.974045i \(-0.572681\pi\)
0.680944 + 0.732336i \(0.261570\pi\)
\(224\) 0.400965 2.27399i 0.0267906 0.151937i
\(225\) −11.4942 + 9.30457i −0.766277 + 0.620305i
\(226\) 6.04224 5.07004i 0.401924 0.337254i
\(227\) 3.96231 + 12.1947i 0.262988 + 0.809392i 0.992150 + 0.125052i \(0.0399098\pi\)
−0.729163 + 0.684340i \(0.760090\pi\)
\(228\) −0.649427 0.107489i −0.0430093 0.00711863i
\(229\) 10.1575 7.37982i 0.671223 0.487672i −0.199211 0.979957i \(-0.563838\pi\)
0.870434 + 0.492284i \(0.163838\pi\)
\(230\) 13.9431 + 5.21446i 0.919383 + 0.343832i
\(231\) 0.227983 + 0.337998i 0.0150002 + 0.0222387i
\(232\) −4.99668 + 28.3376i −0.328048 + 1.86045i
\(233\) 4.42691 9.07650i 0.290016 0.594622i −0.703188 0.711004i \(-0.748241\pi\)
0.993205 + 0.116382i \(0.0371297\pi\)
\(234\) 0.409249 + 11.7194i 0.0267535 + 0.766119i
\(235\) −9.15843 0.0806966i −0.597430 0.00526407i
\(236\) 1.28393 1.42595i 0.0835769 0.0928216i
\(237\) −0.101516 + 0.0634344i −0.00659419 + 0.00412051i
\(238\) −1.97490 + 1.23405i −0.128013 + 0.0799917i
\(239\) 15.6613 17.3936i 1.01304 1.12510i 0.0209262 0.999781i \(-0.493338\pi\)
0.992117 0.125317i \(-0.0399948\pi\)
\(240\) 0.291282 0.870308i 0.0188022 0.0561781i
\(241\) −0.167981 4.81036i −0.0108206 0.309862i −0.992719 0.120454i \(-0.961565\pi\)
0.981898 0.189409i \(-0.0606571\pi\)
\(242\) −0.119504 + 0.245019i −0.00768201 + 0.0157504i
\(243\) −0.946873 + 5.36998i −0.0607419 + 0.344485i
\(244\) −0.584534 0.866607i −0.0374210 0.0554788i
\(245\) −8.20737 12.4023i −0.524350 0.792351i
\(246\) −1.22076 + 0.886934i −0.0778328 + 0.0565489i
\(247\) −9.99507 11.6606i −0.635971 0.741949i
\(248\) −9.19577 28.3017i −0.583932 1.79716i
\(249\) 0.426658 0.358009i 0.0270384 0.0226879i
\(250\) 11.7045 + 4.61394i 0.740256 + 0.291811i
\(251\) 2.97166 16.8531i 0.187570 1.06376i −0.735039 0.678025i \(-0.762836\pi\)
0.922609 0.385736i \(-0.126053\pi\)
\(252\) 1.13201 0.601900i 0.0713099 0.0379161i
\(253\) 11.0925 16.4452i 0.697376 1.03390i
\(254\) −1.81370 17.2562i −0.113802 1.08275i
\(255\) 1.47847 0.642708i 0.0925852 0.0402479i
\(256\) 3.61666 + 14.5056i 0.226041 + 0.906601i
\(257\) 21.8795 + 18.3591i 1.36480 + 1.14521i 0.974466 + 0.224536i \(0.0720866\pi\)
0.390339 + 0.920671i \(0.372358\pi\)
\(258\) −0.0524837 + 0.499349i −0.00326749 + 0.0310881i
\(259\) −0.992553 1.10234i −0.0616743 0.0684962i
\(260\) −4.92917 + 3.02003i −0.305694 + 0.187294i
\(261\) −24.4271 + 12.9881i −1.51200 + 0.803946i
\(262\) −2.43536 1.29490i −0.150457 0.0799994i
\(263\) −5.62669 + 7.20183i −0.346957 + 0.444084i −0.929559 0.368673i \(-0.879812\pi\)
0.582603 + 0.812757i \(0.302034\pi\)
\(264\) −1.80032 1.12496i −0.110802 0.0692366i
\(265\) −13.9899 24.7319i −0.859391 1.51927i
\(266\) 1.15077 2.65952i 0.0705581 0.163066i
\(267\) −0.0308944 0.0224461i −0.00189071 0.00137368i
\(268\) −1.03746 + 0.870529i −0.0633728 + 0.0531761i
\(269\) 11.7185 + 17.3734i 0.714488 + 1.05927i 0.995044 + 0.0994346i \(0.0317034\pi\)
−0.280556 + 0.959838i \(0.590519\pi\)
\(270\) 2.90846 1.02967i 0.177004 0.0626634i
\(271\) −8.75108 8.45082i −0.531590 0.513351i 0.379703 0.925108i \(-0.376026\pi\)
−0.911293 + 0.411758i \(0.864915\pi\)
\(272\) 3.90618 5.79116i 0.236847 0.351140i
\(273\) −0.419063 0.0890746i −0.0253629 0.00539104i
\(274\) −7.64870 13.2479i −0.462075 0.800337i
\(275\) 9.61817 13.7312i 0.579998 0.828025i
\(276\) 0.684408 + 0.574286i 0.0411965 + 0.0345680i
\(277\) −6.43384 + 7.14550i −0.386572 + 0.429331i −0.904751 0.425940i \(-0.859943\pi\)
0.518179 + 0.855272i \(0.326610\pi\)
\(278\) 1.89906 + 18.0684i 0.113898 + 1.08367i
\(279\) 15.9990 23.7195i 0.957837 1.42005i
\(280\) −3.42721 2.18378i −0.204815 0.130506i
\(281\) 9.62590 9.29562i 0.574233 0.554530i −0.349809 0.936821i \(-0.613754\pi\)
0.924042 + 0.382291i \(0.124865\pi\)
\(282\) 0.891423 + 0.324451i 0.0530835 + 0.0193208i
\(283\) 4.01856 0.281005i 0.238879 0.0167040i 0.0501847 0.998740i \(-0.484019\pi\)
0.188694 + 0.982036i \(0.439575\pi\)
\(284\) −1.71432 + 5.27613i −0.101726 + 0.313081i
\(285\) −1.06017 + 1.70304i −0.0627988 + 0.100879i
\(286\) −4.10802 12.6432i −0.242913 0.747608i
\(287\) 1.44190 + 3.56882i 0.0851124 + 0.210661i
\(288\) −7.11693 + 9.10925i −0.419369 + 0.536768i
\(289\) −4.68351 + 0.658225i −0.275501 + 0.0387191i
\(290\) 19.8493 + 12.6478i 1.16559 + 0.742703i
\(291\) −0.0612566 1.75416i −0.00359092 0.102831i
\(292\) 4.23330 1.88478i 0.247735 0.110299i
\(293\) −9.85504 17.0694i −0.575738 0.997207i −0.995961 0.0897863i \(-0.971382\pi\)
0.420223 0.907421i \(-0.361952\pi\)
\(294\) 0.372654 + 1.49463i 0.0217336 + 0.0871687i
\(295\) −2.51701 5.27816i −0.146546 0.307307i
\(296\) 7.05604 + 3.14155i 0.410124 + 0.182599i
\(297\) −0.429752 4.08882i −0.0249368 0.237257i
\(298\) 11.2129 + 14.3519i 0.649548 + 0.831384i
\(299\) 3.61969 + 20.5283i 0.209332 + 1.18718i
\(300\) 0.569781 + 0.495472i 0.0328963 + 0.0286061i
\(301\) 1.20354 + 0.438054i 0.0693710 + 0.0252490i
\(302\) 1.67447 + 1.04633i 0.0963551 + 0.0602093i
\(303\) 1.63562 1.18834i 0.0939637 0.0682686i
\(304\) 0.0913233 + 8.69188i 0.00523775 + 0.498513i
\(305\) −3.12172 + 0.634847i −0.178749 + 0.0363512i
\(306\) 11.6300 0.813247i 0.664841 0.0464902i
\(307\) 2.40294 + 0.874598i 0.137143 + 0.0499159i 0.409680 0.912229i \(-0.365640\pi\)
−0.272537 + 0.962145i \(0.587863\pi\)
\(308\) −1.04552 + 1.00964i −0.0595738 + 0.0575298i
\(309\) −0.333061 0.0468087i −0.0189472 0.00266285i
\(310\) −24.2656 1.91180i −1.37819 0.108583i
\(311\) −29.1293 6.19162i −1.65177 0.351094i −0.714482 0.699654i \(-0.753338\pi\)
−0.937287 + 0.348559i \(0.886671\pi\)
\(312\) 2.18206 0.463812i 0.123535 0.0262582i
\(313\) −27.1569 + 16.9695i −1.53500 + 0.959172i −0.542084 + 0.840324i \(0.682364\pi\)
−0.992913 + 0.118848i \(0.962080\pi\)
\(314\) −9.98172 + 24.7056i −0.563301 + 1.39422i
\(315\) −0.374157 3.88920i −0.0210813 0.219132i
\(316\) −0.285550 0.317136i −0.0160635 0.0178403i
\(317\) −7.03891 2.01838i −0.395345 0.113363i 0.0720741 0.997399i \(-0.477038\pi\)
−0.467419 + 0.884036i \(0.654816\pi\)
\(318\) 0.511058 + 2.89835i 0.0286587 + 0.162532i
\(319\) 22.5608 21.7867i 1.26316 1.21982i
\(320\) 18.5465 + 2.77339i 1.03678 + 0.155037i
\(321\) 0.0241305 0.0967822i 0.00134683 0.00540185i
\(322\) −3.18192 + 2.31180i −0.177322 + 0.128832i
\(323\) −11.2390 + 10.3355i −0.625356 + 0.575084i
\(324\) −6.32520 −0.351400
\(325\) 2.75297 + 17.4005i 0.152707 + 0.965209i
\(326\) 5.05208 + 1.83881i 0.279809 + 0.101842i
\(327\) 2.78484 0.391383i 0.154002 0.0216436i
\(328\) −14.4172 13.9225i −0.796056 0.768742i
\(329\) 1.35315 2.00612i 0.0746015 0.110601i
\(330\) −1.41374 + 1.00823i −0.0778237 + 0.0555012i
\(331\) 0.773160 7.35612i 0.0424967 0.404329i −0.952509 0.304511i \(-0.901507\pi\)
0.995006 0.0998185i \(-0.0318262\pi\)
\(332\) 1.52103 + 1.27629i 0.0834772 + 0.0700457i
\(333\) 1.79652 + 7.20545i 0.0984488 + 0.394856i
\(334\) −15.5124 + 3.29727i −0.848802 + 0.180418i
\(335\) 1.24076 + 3.93634i 0.0677899 + 0.215065i
\(336\) 0.149285 + 0.191076i 0.00814417 + 0.0104241i
\(337\) 6.90720 + 0.970744i 0.376259 + 0.0528798i 0.324768 0.945794i \(-0.394714\pi\)
0.0514912 + 0.998673i \(0.483603\pi\)
\(338\) −0.581914 0.309409i −0.0316520 0.0168296i
\(339\) 0.0503481 1.44178i 0.00273454 0.0783069i
\(340\) 3.17168 + 4.79276i 0.172008 + 0.259924i
\(341\) −10.0230 + 30.8475i −0.542774 + 1.67049i
\(342\) −11.3374 + 9.05115i −0.613055 + 0.489430i
\(343\) 8.06481 0.435459
\(344\) −6.65280 + 0.465209i −0.358695 + 0.0250824i
\(345\) 2.41521 1.25702i 0.130031 0.0676757i
\(346\) 11.0745 + 22.7062i 0.595371 + 1.22069i
\(347\) −19.5348 18.8646i −1.04869 1.01270i −0.999903 0.0138942i \(-0.995577\pi\)
−0.0487819 0.998809i \(-0.515534\pi\)
\(348\) 0.869674 + 1.11313i 0.0466194 + 0.0596701i
\(349\) 12.7341 22.0561i 0.681641 1.18064i −0.292839 0.956162i \(-0.594600\pi\)
0.974480 0.224474i \(-0.0720665\pi\)
\(350\) −2.72320 + 1.90612i −0.145561 + 0.101886i
\(351\) 3.30958 + 2.77706i 0.176652 + 0.148229i
\(352\) 4.90916 12.1506i 0.261659 0.647630i
\(353\) 7.41023 + 3.29925i 0.394407 + 0.175601i 0.594351 0.804206i \(-0.297409\pi\)
−0.199944 + 0.979807i \(0.564076\pi\)
\(354\) 0.0633099 + 0.602354i 0.00336488 + 0.0320147i
\(355\) 12.8549 + 10.9810i 0.682268 + 0.582812i
\(356\) 0.0596788 0.122360i 0.00316297 0.00648506i
\(357\) −0.0739629 + 0.419465i −0.00391453 + 0.0222004i
\(358\) −15.1283 22.4286i −0.799554 1.18539i
\(359\) 11.1363 + 27.5632i 0.587750 + 1.45473i 0.868861 + 0.495056i \(0.164852\pi\)
−0.281112 + 0.959675i \(0.590703\pi\)
\(360\) 10.0167 + 17.7079i 0.527924 + 0.933287i
\(361\) 4.20815 18.5281i 0.221481 0.975165i
\(362\) 2.76105 8.49765i 0.145118 0.446626i
\(363\) 0.0186782 + 0.0462303i 0.000980354 + 0.00242646i
\(364\) 0.0533029 1.52639i 0.00279383 0.0800048i
\(365\) −0.368479 14.1171i −0.0192871 0.738924i
\(366\) 0.326743 + 0.0459208i 0.0170791 + 0.00240032i
\(367\) −20.3612 5.83849i −1.06285 0.304767i −0.301738 0.953391i \(-0.597567\pi\)
−0.761109 + 0.648624i \(0.775345\pi\)
\(368\) 5.89888 10.2172i 0.307501 0.532607i
\(369\) 2.01422 19.1640i 0.104856 0.997640i
\(370\) 4.58307 4.34844i 0.238262 0.226064i
\(371\) 7.48905 + 0.523685i 0.388812 + 0.0271884i
\(372\) −1.33456 0.594185i −0.0691938 0.0308071i
\(373\) −32.3140 6.86855i −1.67315 0.355640i −0.728840 0.684684i \(-0.759940\pi\)
−0.944315 + 0.329044i \(0.893274\pi\)
\(374\) −12.4195 + 4.52034i −0.642199 + 0.233741i
\(375\) 2.05960 1.02623i 0.106357 0.0529943i
\(376\) −2.18797 + 12.4086i −0.112836 + 0.639925i
\(377\) −1.15020 + 32.9374i −0.0592383 + 1.69636i
\(378\) −0.197208 + 0.790959i −0.0101433 + 0.0406826i
\(379\) −3.28626 + 2.38761i −0.168804 + 0.122643i −0.668980 0.743281i \(-0.733269\pi\)
0.500176 + 0.865924i \(0.333269\pi\)
\(380\) −6.63535 2.66778i −0.340386 0.136854i
\(381\) −2.56750 1.86539i −0.131537 0.0955671i
\(382\) −4.38440 + 3.67895i −0.224325 + 0.188231i
\(383\) −4.05186 6.00713i −0.207041 0.306950i 0.711187 0.703002i \(-0.248158\pi\)
−0.918228 + 0.396052i \(0.870380\pi\)
\(384\) −0.294438 0.156556i −0.0150255 0.00798920i
\(385\) 1.62302 + 4.12131i 0.0827170 + 0.210041i
\(386\) −11.8306 15.1425i −0.602162 0.770732i
\(387\) −4.29043 4.76501i −0.218095 0.242219i
\(388\) 6.12060 1.30097i 0.310727 0.0660470i
\(389\) −2.00419 + 4.96054i −0.101616 + 0.251509i −0.969424 0.245390i \(-0.921084\pi\)
0.867808 + 0.496900i \(0.165528\pi\)
\(390\) 0.332676 1.79412i 0.0168457 0.0908487i
\(391\) 20.2709 4.30872i 1.02515 0.217901i
\(392\) −18.6911 + 8.32180i −0.944041 + 0.420314i
\(393\) −0.474061 + 0.172544i −0.0239132 + 0.00870370i
\(394\) 9.27998 19.0268i 0.467518 0.958555i
\(395\) −1.22596 + 0.434020i −0.0616849 + 0.0218379i
\(396\) 6.99444 2.00562i 0.351484 0.100786i
\(397\) −7.03588 + 28.2194i −0.353121 + 1.41629i 0.486768 + 0.873531i \(0.338176\pi\)
−0.839889 + 0.542758i \(0.817380\pi\)
\(398\) −7.40375 22.7864i −0.371116 1.14218i
\(399\) −0.220653 0.481904i −0.0110465 0.0241254i
\(400\) 5.13679 8.54579i 0.256840 0.427290i
\(401\) −9.64800 + 8.09563i −0.481798 + 0.404277i −0.851076 0.525042i \(-0.824049\pi\)
0.369278 + 0.929319i \(0.379605\pi\)
\(402\) 0.0149190 0.427226i 0.000744094 0.0213081i
\(403\) −14.9414 30.6343i −0.744282 1.52600i
\(404\) 5.18459 + 5.00670i 0.257943 + 0.249092i
\(405\) −7.37816 + 17.8082i −0.366624 + 0.884896i
\(406\) −5.68089 + 2.52929i −0.281938 + 0.125527i
\(407\) −4.20929 7.29070i −0.208647 0.361387i
\(408\) −0.536546 2.15197i −0.0265630 0.106538i
\(409\) −4.80967 + 3.00542i −0.237823 + 0.148608i −0.643595 0.765366i \(-0.722558\pi\)
0.405773 + 0.913974i \(0.367002\pi\)
\(410\) −15.0345 + 6.53567i −0.742500 + 0.322774i
\(411\) −2.73679 0.581724i −0.134996 0.0286943i
\(412\) −0.0418453 1.19829i −0.00206157 0.0590357i
\(413\) 1.52995 + 0.215020i 0.0752837 + 0.0105804i
\(414\) 19.4984 2.74032i 0.958295 0.134680i
\(415\) 5.36756 2.79360i 0.263483 0.137132i
\(416\) 5.15872 + 12.7683i 0.252927 + 0.626017i
\(417\) 2.68833 + 1.95319i 0.131648 + 0.0956479i
\(418\) 9.52652 13.4061i 0.465957 0.655713i
\(419\) −1.99376 1.44855i −0.0974017 0.0707665i 0.538018 0.842933i \(-0.319173\pi\)
−0.635420 + 0.772167i \(0.719173\pi\)
\(420\) −0.192246 + 0.0532972i −0.00938067 + 0.00260064i
\(421\) −6.55512 + 1.87965i −0.319477 + 0.0916085i −0.431543 0.902092i \(-0.642031\pi\)
0.112067 + 0.993701i \(0.464253\pi\)
\(422\) −11.8786 24.3548i −0.578243 1.18557i
\(423\) −10.6963 + 5.68732i −0.520071 + 0.276527i
\(424\) −36.7332 + 13.3698i −1.78392 + 0.649295i
\(425\) 17.1934 3.33905i 0.834001 0.161968i
\(426\) −0.875558 1.51651i −0.0424209 0.0734752i
\(427\) 0.315294 0.780379i 0.0152581 0.0377652i
\(428\) 0.354722 + 0.0248046i 0.0171461 + 0.00119898i
\(429\) −2.22127 0.988973i −0.107244 0.0477480i
\(430\) −1.73132 + 5.17293i −0.0834918 + 0.249461i
\(431\) −7.21620 2.06921i −0.347592 0.0996704i 0.0972989 0.995255i \(-0.468980\pi\)
−0.444891 + 0.895585i \(0.646758\pi\)
\(432\) −0.424608 2.40807i −0.0204289 0.115858i
\(433\) 8.68911 8.39098i 0.417572 0.403245i −0.455969 0.889996i \(-0.650707\pi\)
0.873541 + 0.486751i \(0.161818\pi\)
\(434\) 3.95933 5.06771i 0.190054 0.243258i
\(435\) 4.14840 1.15008i 0.198901 0.0551420i
\(436\) 3.09803 + 9.53476i 0.148369 + 0.456632i
\(437\) −17.7179 + 18.7374i −0.847562 + 0.896333i
\(438\) −0.451998 + 1.39111i −0.0215973 + 0.0664697i
\(439\) −29.3806 18.3591i −1.40226 0.876230i −0.403020 0.915191i \(-0.632040\pi\)
−0.999241 + 0.0389609i \(0.987595\pi\)
\(440\) −16.4489 16.1670i −0.784170 0.770732i
\(441\) −17.3686 9.23506i −0.827077 0.439765i
\(442\) 6.08830 12.4829i 0.289591 0.593749i
\(443\) 18.7260 6.81571i 0.889699 0.323824i 0.143582 0.989638i \(-0.454138\pi\)
0.746117 + 0.665814i \(0.231916\pi\)
\(444\) 0.346389 0.154222i 0.0164389 0.00731907i
\(445\) −0.274883 0.310751i −0.0130307 0.0147310i
\(446\) −8.63056 0.603508i −0.408669 0.0285769i
\(447\) 3.32307 + 0.232371i 0.157176 + 0.0109908i
\(448\) −3.31528 + 3.68199i −0.156632 + 0.173958i
\(449\) 9.87122 17.0975i 0.465852 0.806879i −0.533388 0.845871i \(-0.679081\pi\)
0.999240 + 0.0389918i \(0.0124146\pi\)
\(450\) 16.5172 2.02523i 0.778630 0.0954704i
\(451\) 3.79336 + 21.5132i 0.178623 + 1.01302i
\(452\) 5.09300 0.715774i 0.239554 0.0336672i
\(453\) 0.347152 0.0995442i 0.0163106 0.00467700i
\(454\) 3.49063 14.0001i 0.163823 0.657059i
\(455\) −4.23529 1.93057i −0.198554 0.0905063i
\(456\) 2.07022 + 1.82502i 0.0969470 + 0.0854644i
\(457\) −0.616695 −0.0288478 −0.0144239 0.999896i \(-0.504591\pi\)
−0.0144239 + 0.999896i \(0.504591\pi\)
\(458\) −14.0939 + 0.985539i −0.658563 + 0.0460512i
\(459\) 2.64441 3.38469i 0.123431 0.157984i
\(460\) 5.90830 + 7.70119i 0.275476 + 0.359070i
\(461\) 19.3840 10.3067i 0.902804 0.480029i 0.0479216 0.998851i \(-0.484740\pi\)
0.854883 + 0.518822i \(0.173629\pi\)
\(462\) −0.0160111 0.458499i −0.000744905 0.0213313i
\(463\) 27.3495 + 30.3747i 1.27104 + 1.41163i 0.868087 + 0.496413i \(0.165350\pi\)
0.402953 + 0.915220i \(0.367984\pi\)
\(464\) 12.4814 13.8620i 0.579436 0.643529i
\(465\) −3.22962 + 3.06428i −0.149770 + 0.142102i
\(466\) −9.63699 + 6.02186i −0.446425 + 0.278957i
\(467\) 1.85220 17.6225i 0.0857095 0.815471i −0.864243 0.503075i \(-0.832202\pi\)
0.949952 0.312396i \(-0.101132\pi\)
\(468\) −3.82310 + 6.62181i −0.176723 + 0.306093i
\(469\) −1.04821 0.300570i −0.0484020 0.0138790i
\(470\) 8.69173 + 5.53827i 0.400919 + 0.255461i
\(471\) 2.13645 + 4.38037i 0.0984423 + 0.201837i
\(472\) −7.73308 + 2.21743i −0.355944 + 0.102065i
\(473\) 6.16442 + 3.85196i 0.283440 + 0.177113i
\(474\) 0.134703 0.00618712
\(475\) −15.2509 + 15.5695i −0.699759 + 0.714379i
\(476\) −1.51845 −0.0695980
\(477\) −31.8728 19.9163i −1.45936 0.911907i
\(478\) −25.3174 + 7.25966i −1.15799 + 0.332049i
\(479\) 1.63164 + 3.34536i 0.0745516 + 0.152853i 0.932815 0.360357i \(-0.117345\pi\)
−0.858263 + 0.513210i \(0.828456\pi\)
\(480\) 1.38806 1.14403i 0.0633561 0.0522178i
\(481\) 8.50384 + 2.43844i 0.387742 + 0.111183i
\(482\) −2.70816 + 4.69067i −0.123353 + 0.213654i
\(483\) −0.0751947 + 0.715430i −0.00342148 + 0.0325532i
\(484\) −0.150743 + 0.0941948i −0.00685196 + 0.00428158i
\(485\) 3.47669 18.7497i 0.157868 0.851381i
\(486\) 4.10577 4.55992i 0.186242 0.206842i
\(487\) −8.09748 8.99316i −0.366932 0.407519i 0.531199 0.847247i \(-0.321742\pi\)
−0.898131 + 0.439728i \(0.855075\pi\)
\(488\) 0.152949 + 4.37989i 0.00692368 + 0.198268i
\(489\) 0.868240 0.461652i 0.0392632 0.0208766i
\(490\) 0.436668 + 16.7296i 0.0197266 + 0.755764i
\(491\) 16.3363 20.9095i 0.737248 0.943634i −0.262526 0.964925i \(-0.584555\pi\)
0.999773 + 0.0212911i \(0.00677769\pi\)
\(492\) −0.981500 + 0.0686332i −0.0442494 + 0.00309422i
\(493\) 32.7660 1.47571
\(494\) 2.58490 + 17.0879i 0.116300 + 0.768819i
\(495\) 2.51210 22.0319i 0.112911 0.990261i
\(496\) −4.66684 + 18.7177i −0.209547 + 0.840448i
\(497\) −4.29381 + 1.23123i −0.192604 + 0.0552282i
\(498\) −0.620643 + 0.0872256i −0.0278117 + 0.00390867i
\(499\) −3.09309 17.5418i −0.138466 0.785279i −0.972383 0.233390i \(-0.925018\pi\)
0.833917 0.551889i \(-0.186093\pi\)
\(500\) 4.87790 + 6.59560i 0.218147 + 0.294964i
\(501\) −1.45033 + 2.51204i −0.0647958 + 0.112230i
\(502\) −12.8855 + 14.3108i −0.575110 + 0.638724i
\(503\) −23.2455 1.62549i −1.03647 0.0724769i −0.458629 0.888628i \(-0.651659\pi\)
−0.577839 + 0.816151i \(0.696104\pi\)
\(504\) −5.36211 0.374955i −0.238847 0.0167018i
\(505\) 20.1437 8.75672i 0.896384 0.389669i
\(506\) −20.3919 + 9.07907i −0.906532 + 0.403614i
\(507\) −0.113274 + 0.0412284i −0.00503068 + 0.00183102i
\(508\) 4.95964 10.1688i 0.220049 0.451166i
\(509\) −11.5102 6.12011i −0.510183 0.271269i 0.194360 0.980930i \(-0.437737\pi\)
−0.704543 + 0.709661i \(0.748848\pi\)
\(510\) −1.79415 0.268292i −0.0794462 0.0118802i
\(511\) 3.16418 + 1.97720i 0.139975 + 0.0874660i
\(512\) 6.19984 19.0812i 0.273997 0.843276i
\(513\) −0.316799 + 5.33543i −0.0139870 + 0.235565i
\(514\) −9.93180 30.5669i −0.438073 1.34825i
\(515\) −3.42253 1.27996i −0.150815 0.0564018i
\(516\) −0.201562 + 0.257988i −0.00887327 + 0.0113573i
\(517\) 9.87902 9.54006i 0.434479 0.419571i
\(518\) 0.289851 + 1.64383i 0.0127353 + 0.0722257i
\(519\) 4.44166 + 1.27363i 0.194967 + 0.0559060i
\(520\) 24.2353 + 0.213542i 1.06279 + 0.00936442i
\(521\) 9.66528 + 4.30326i 0.423444 + 0.188529i 0.607384 0.794408i \(-0.292219\pi\)
−0.183941 + 0.982937i \(0.558885\pi\)
\(522\) 31.0557 + 2.17162i 1.35927 + 0.0950494i
\(523\) 5.81575 14.3945i 0.254305 0.629427i −0.744986 0.667080i \(-0.767544\pi\)
0.999291 + 0.0376533i \(0.0119882\pi\)
\(524\) −0.899239 1.55753i −0.0392834 0.0680409i
\(525\) −0.0741949 + 0.603428i −0.00323813 + 0.0263357i
\(526\) 9.66405 3.51743i 0.421373 0.153367i
\(527\) −29.9193 + 15.9084i −1.30331 + 0.692981i
\(528\) 0.603271 + 1.23689i 0.0262540 + 0.0538286i
\(529\) 11.5359 3.30787i 0.501562 0.143821i
\(530\) −1.39740 + 31.9438i −0.0606990 + 1.38755i
\(531\) −6.25742 4.54628i −0.271549 0.197292i
\(532\) 1.55528 1.07299i 0.0674299 0.0465202i
\(533\) −18.5715 13.4930i −0.804420 0.584446i
\(534\) 0.0160976 + 0.0398428i 0.000696609 + 0.00172417i
\(535\) 0.483609 0.969765i 0.0209082 0.0419266i
\(536\) 5.62274 0.790225i 0.242866 0.0341325i
\(537\) −4.90005 0.688657i −0.211453 0.0297178i
\(538\) −0.822983 23.5672i −0.0354813 1.01605i
\(539\) 21.8130 + 4.63650i 0.939554 + 0.199708i
\(540\) 1.96406 + 0.435595i 0.0845196 + 0.0187450i
\(541\) −20.5153 + 12.8194i −0.882020 + 0.551147i −0.893640 0.448785i \(-0.851857\pi\)
0.0116196 + 0.999932i \(0.496301\pi\)
\(542\) 3.31181 + 13.2829i 0.142254 + 0.570551i
\(543\) −0.817114 1.41528i −0.0350657 0.0607356i
\(544\) 12.5074 5.56864i 0.536249 0.238753i
\(545\) 30.4583 + 2.39970i 1.30469 + 0.102792i
\(546\) 0.346794 + 0.334895i 0.0148414 + 0.0143322i
\(547\) 8.37756 + 17.1765i 0.358199 + 0.734416i 0.999458 0.0329079i \(-0.0104768\pi\)
−0.641260 + 0.767324i \(0.721588\pi\)
\(548\) 0.348108 9.96850i 0.0148704 0.425833i
\(549\) −3.22781 + 2.70845i −0.137760 + 0.115594i
\(550\) −17.3667 + 7.36825i −0.740517 + 0.314183i
\(551\) −33.5607 + 23.1537i −1.42973 + 0.986380i
\(552\) −1.15751 3.56243i −0.0492667 0.151627i
\(553\) 0.0831263 0.333401i 0.00353489 0.0141777i
\(554\) 10.4007 2.98236i 0.441884 0.126708i
\(555\) −0.0301508 1.15513i −0.00127983 0.0490327i
\(556\) −5.19306 + 10.6473i −0.220235 + 0.451548i
\(557\) 0.0155894 0.00567409i 0.000660546 0.000240419i −0.341690 0.939813i \(-0.610999\pi\)
0.342350 + 0.939572i \(0.388777\pi\)
\(558\) −29.4120 + 13.0951i −1.24511 + 0.554358i
\(559\) −7.47155 + 1.58813i −0.316013 + 0.0671706i
\(560\) 1.13392 + 2.37784i 0.0479171 + 0.100482i
\(561\) −0.905556 + 2.24133i −0.0382326 + 0.0946290i
\(562\) −14.7290 + 3.13075i −0.621306 + 0.132063i
\(563\) 21.9833 + 24.4150i 0.926487 + 1.02897i 0.999499 + 0.0316369i \(0.0100720\pi\)
−0.0730125 + 0.997331i \(0.523261\pi\)
\(564\) 0.380817 + 0.487424i 0.0160353 + 0.0205243i
\(565\) 3.92562 15.1740i 0.165152 0.638373i
\(566\) −4.00246 2.12815i −0.168236 0.0894527i
\(567\) −2.84792 4.22221i −0.119601 0.177316i
\(568\) 17.8173 14.9505i 0.747599 0.627310i
\(569\) −9.38542 6.81891i −0.393457 0.285864i 0.373413 0.927665i \(-0.378187\pi\)
−0.766871 + 0.641801i \(0.778187\pi\)
\(570\) 2.02725 0.993014i 0.0849121 0.0415928i
\(571\) −33.4056 + 24.2706i −1.39798 + 1.01569i −0.403043 + 0.915181i \(0.632048\pi\)
−0.994936 + 0.100511i \(0.967952\pi\)
\(572\) 2.09702 8.41069i 0.0876808 0.351668i
\(573\) −0.0365339 + 1.04619i −0.00152622 + 0.0437053i
\(574\) 0.752127 4.26552i 0.0313932 0.178039i
\(575\) 28.5741 7.65124i 1.19162 0.319079i
\(576\) 23.3082 8.48350i 0.971176 0.353479i
\(577\) −12.7297 2.70579i −0.529945 0.112643i −0.0648349 0.997896i \(-0.520652\pi\)
−0.465110 + 0.885253i \(0.653985\pi\)
\(578\) 4.86196 + 2.16468i 0.202231 + 0.0900390i
\(579\) −3.50612 0.245172i −0.145709 0.0101890i
\(580\) 6.60578 + 13.8523i 0.274290 + 0.575186i
\(581\) −0.167113 + 1.58997i −0.00693300 + 0.0659631i
\(582\) −0.987565 + 1.71051i −0.0409359 + 0.0709030i
\(583\) 40.9565 + 11.7441i 1.69625 + 0.486391i
\(584\) −19.2389 2.70385i −0.796112 0.111886i
\(585\) 14.1837 + 18.4878i 0.586426 + 0.764378i
\(586\) −0.774052 + 22.1659i −0.0319758 + 0.915667i
\(587\) −13.3377 33.0119i −0.550504 1.36255i −0.904170 0.427173i \(-0.859509\pi\)
0.353666 0.935372i \(-0.384935\pi\)
\(588\) −0.310377 + 0.955242i −0.0127997 + 0.0393935i
\(589\) 19.4036 37.4364i 0.799509 1.54254i
\(590\) −0.745452 + 6.53785i −0.0306898 + 0.269159i
\(591\) −1.45044 3.58997i −0.0596633 0.147672i
\(592\) −2.79985 4.15095i −0.115073 0.170603i
\(593\) 2.45744 13.9369i 0.100915 0.572318i −0.891858 0.452315i \(-0.850598\pi\)
0.992773 0.120003i \(-0.0382905\pi\)
\(594\) −2.02809 + 4.15821i −0.0832137 + 0.170613i
\(595\) −1.77123 + 4.27510i −0.0726132 + 0.175262i
\(596\) 1.24134 + 11.8105i 0.0508471 + 0.483778i
\(597\) −4.00332 1.78239i −0.163845 0.0729484i
\(598\) 8.78695 21.7485i 0.359325 0.889361i
\(599\) −7.78243 6.53023i −0.317981 0.266818i 0.469800 0.882773i \(-0.344326\pi\)
−0.787782 + 0.615955i \(0.788770\pi\)
\(600\) −0.925054 3.02754i −0.0377652 0.123599i
\(601\) −7.54673 + 13.0713i −0.307837 + 0.533190i −0.977889 0.209125i \(-0.932939\pi\)
0.670052 + 0.742314i \(0.266272\pi\)
\(602\) −0.887319 1.13572i −0.0361644 0.0462884i
\(603\) 3.92696 + 3.79222i 0.159918 + 0.154431i
\(604\) 0.564386 + 1.15716i 0.0229645 + 0.0470843i
\(605\) 0.0893621 + 0.534284i 0.00363309 + 0.0217217i
\(606\) −2.26948 + 0.158698i −0.0921914 + 0.00644665i
\(607\) 41.4382 1.68192 0.840962 0.541095i \(-0.181990\pi\)
0.840962 + 0.541095i \(0.181990\pi\)
\(608\) −8.87572 + 14.5419i −0.359958 + 0.589751i
\(609\) −0.351470 + 1.08171i −0.0142423 + 0.0438333i
\(610\) 3.35761 + 1.25568i 0.135946 + 0.0508411i
\(611\) −0.503655 + 14.4228i −0.0203757 + 0.583484i
\(612\) 6.71196 + 3.56881i 0.271315 + 0.144261i
\(613\) −12.4242 1.74611i −0.501811 0.0705249i −0.116273 0.993217i \(-0.537095\pi\)
−0.385537 + 0.922692i \(0.625984\pi\)
\(614\) −1.77158 2.26752i −0.0714952 0.0915097i
\(615\) −0.951659 + 2.84341i −0.0383746 + 0.114657i
\(616\) 5.96047 1.26694i 0.240154 0.0510464i
\(617\) 6.85416 + 27.4905i 0.275938 + 1.10673i 0.935003 + 0.354641i \(0.115397\pi\)
−0.659065 + 0.752086i \(0.729048\pi\)
\(618\) 0.289926 + 0.243277i 0.0116625 + 0.00978604i
\(619\) −1.07307 + 10.2096i −0.0431304 + 0.410358i 0.951561 + 0.307459i \(0.0994787\pi\)
−0.994692 + 0.102899i \(0.967188\pi\)
\(620\) −12.7574 9.44165i −0.512350 0.379186i
\(621\) 4.05656 6.01409i 0.162784 0.241337i
\(622\) 24.1058 + 23.2787i 0.966554 + 0.933391i
\(623\) 0.108548 0.0152555i 0.00434889 0.000611197i
\(624\) −1.35891 0.494603i −0.0543999 0.0198000i
\(625\) 24.2594 6.03987i 0.970377 0.241595i
\(626\) 36.0347 1.44024
\(627\) −0.656289 2.93559i −0.0262096 0.117236i
\(628\) −14.0561 + 10.2123i −0.560899 + 0.407517i
\(629\) 2.12774 8.53388i 0.0848384 0.340268i
\(630\) −1.96211 + 3.93456i −0.0781725 + 0.156757i
\(631\) −21.9828 + 21.2286i −0.875123 + 0.845097i −0.988926 0.148407i \(-0.952586\pi\)
0.113803 + 0.993503i \(0.463697\pi\)
\(632\) 0.310686 + 1.76199i 0.0123584 + 0.0700881i
\(633\) −4.76417 1.36610i −0.189359 0.0542977i
\(634\) 5.51362 + 6.12350i 0.218974 + 0.243195i
\(635\) −22.8443 25.8251i −0.906548 1.02484i
\(636\) −0.718873 + 1.77927i −0.0285052 + 0.0705528i
\(637\) −19.8732 + 12.4181i −0.787403 + 0.492024i
\(638\) −34.5212 + 7.33771i −1.36671 + 0.290503i
\(639\) 21.8736 + 4.64937i 0.865305 + 0.183926i
\(640\) −2.75471 2.35315i −0.108890 0.0930163i
\(641\) 11.0520 + 1.55326i 0.436529 + 0.0613501i 0.354015 0.935240i \(-0.384816\pi\)
0.0825139 + 0.996590i \(0.473705\pi\)
\(642\) −0.0807398 + 0.0779695i −0.00318655 + 0.00307721i
\(643\) 36.3400 + 13.2267i 1.43311 + 0.521609i 0.937820 0.347121i \(-0.112841\pi\)
0.495287 + 0.868729i \(0.335063\pi\)
\(644\) −2.55829 + 0.178893i −0.100811 + 0.00704938i
\(645\) 0.491232 + 0.868420i 0.0193422 + 0.0341940i
\(646\) 16.8885 3.16120i 0.664470 0.124376i
\(647\) 31.5487 22.9215i 1.24031 0.901137i 0.242690 0.970104i \(-0.421970\pi\)
0.997619 + 0.0689666i \(0.0219702\pi\)
\(648\) 22.4892 + 14.0528i 0.883459 + 0.552047i
\(649\) 8.23957 + 2.99896i 0.323432 + 0.117719i
\(650\) 7.74897 18.2469i 0.303940 0.715702i
\(651\) −0.204254 1.15838i −0.00800535 0.0454006i
\(652\) 2.15826 + 2.76244i 0.0845239 + 0.108186i
\(653\) −1.40536 13.3712i −0.0549962 0.523254i −0.986990 0.160780i \(-0.948599\pi\)
0.931994 0.362474i \(-0.118068\pi\)
\(654\) −2.89094 1.28713i −0.113045 0.0503308i
\(655\) −5.43406 + 0.714941i −0.212326 + 0.0279351i
\(656\) 3.14314 + 12.6064i 0.122719 + 0.492199i
\(657\) −9.33952 16.1765i −0.364369 0.631106i
\(658\) −2.48758 + 1.10754i −0.0969758 + 0.0431764i
\(659\) 1.17502 + 33.6483i 0.0457724 + 1.31075i 0.777383 + 0.629027i \(0.216547\pi\)
−0.731611 + 0.681723i \(0.761231\pi\)
\(660\) −1.13012 + 0.0690256i −0.0439899 + 0.00268682i
\(661\) 8.57828 1.20560i 0.333657 0.0468924i 0.0296444 0.999561i \(-0.490563\pi\)
0.304012 + 0.952668i \(0.401674\pi\)
\(662\) −5.12435 + 6.55887i −0.199164 + 0.254918i
\(663\) −0.951590 2.35527i −0.0369567 0.0914710i
\(664\) −2.57244 7.91715i −0.0998299 0.307245i
\(665\) −1.20676 5.63041i −0.0467962 0.218338i
\(666\) 2.58227 7.94742i 0.100061 0.307956i
\(667\) 55.2043 3.86026i 2.13752 0.149470i
\(668\) −9.71713 3.53675i −0.375967 0.136841i
\(669\) −1.13829 + 1.09923i −0.0440088 + 0.0424988i
\(670\) 1.16323 4.49631i 0.0449395 0.173708i
\(671\) 2.67114 3.96013i 0.103118 0.152879i
\(672\) 0.0496768 + 0.472643i 0.00191632 + 0.0182326i
\(673\) 14.7791 16.4139i 0.569693 0.632708i −0.387600 0.921828i \(-0.626696\pi\)
0.957293 + 0.289120i \(0.0933625\pi\)
\(674\) −6.01265 5.04521i −0.231599 0.194334i
\(675\) 3.51741 5.02158i 0.135385 0.193281i
\(676\) −0.214868 0.372162i −0.00826414 0.0143139i
\(677\) −32.1955 6.84336i −1.23737 0.263012i −0.457648 0.889133i \(-0.651308\pi\)
−0.779725 + 0.626122i \(0.784641\pi\)
\(678\) −0.907796 + 1.34586i −0.0348637 + 0.0516876i
\(679\) 3.62423 + 3.49988i 0.139085 + 0.134313i
\(680\) −0.628713 24.0872i −0.0241101 0.923702i
\(681\) −1.47574 2.18788i −0.0565505 0.0838396i
\(682\) 27.9595 23.4608i 1.07063 0.898362i
\(683\) −37.5633 27.2913i −1.43732 1.04427i −0.988594 0.150603i \(-0.951878\pi\)
−0.448725 0.893670i \(-0.648122\pi\)
\(684\) −9.39662 + 1.08755i −0.359289 + 0.0415836i
\(685\) −27.6596 12.6080i −1.05682 0.481728i
\(686\) −7.69622 4.80913i −0.293843 0.183613i
\(687\) −1.59093 + 2.03630i −0.0606979 + 0.0776897i
\(688\) 3.81716 + 2.02962i 0.145528 + 0.0773786i
\(689\) −39.5322 + 21.0197i −1.50606 + 0.800785i
\(690\) −3.05440 0.240645i −0.116279 0.00916121i
\(691\) −3.00300 3.33517i −0.114239 0.126876i 0.683313 0.730126i \(-0.260539\pi\)
−0.797552 + 0.603250i \(0.793872\pi\)
\(692\) −1.72185 + 16.3823i −0.0654548 + 0.622761i
\(693\) 4.48804 + 3.76591i 0.170487 + 0.143055i
\(694\) 7.39287 + 29.6512i 0.280630 + 1.12554i
\(695\) 23.9194 + 27.0406i 0.907314 + 1.02571i
\(696\) −0.619054 5.88991i −0.0234652 0.223256i
\(697\) −12.7620 + 18.9205i −0.483396 + 0.716664i
\(698\) −25.3044 + 13.4546i −0.957784 + 0.509263i
\(699\) −0.360920 + 2.04688i −0.0136513 + 0.0774202i
\(700\) −2.16445 + 0.113068i −0.0818086 + 0.00427358i
\(701\) −19.9520 + 16.7417i −0.753575 + 0.632325i −0.936446 0.350812i \(-0.885906\pi\)
0.182870 + 0.983137i \(0.441461\pi\)
\(702\) −1.50232 4.62367i −0.0567015 0.174509i
\(703\) 3.85102 + 10.2444i 0.145244 + 0.386375i
\(704\) −22.7490 + 16.5281i −0.857386 + 0.622927i
\(705\) 1.81652 0.503602i 0.0684143 0.0189667i
\(706\) −5.10418 7.56725i −0.192098 0.284797i
\(707\) −1.00772 + 5.71509i −0.0378994 + 0.214938i
\(708\) −0.173124 + 0.354956i −0.00650638 + 0.0133401i
\(709\) −1.56933 44.9399i −0.0589376 1.68775i −0.564871 0.825179i \(-0.691074\pi\)
0.505933 0.862573i \(-0.331148\pi\)
\(710\) −5.71930 18.1446i −0.214642 0.680956i
\(711\) −1.15104 + 1.27835i −0.0431672 + 0.0479420i
\(712\) −0.484037 + 0.302460i −0.0181401 + 0.0113352i
\(713\) −48.5340 + 30.3274i −1.81761 + 1.13577i
\(714\) 0.320713 0.356188i 0.0120024 0.0133300i
\(715\) −21.2337 15.7149i −0.794094 0.587702i
\(716\) −0.615635 17.6295i −0.0230074 0.658845i
\(717\) −2.11174 + 4.32971i −0.0788644 + 0.161696i
\(718\) 5.80894 32.9441i 0.216788 1.22946i
\(719\) 14.2450 + 21.1191i 0.531249 + 0.787610i 0.995160 0.0982727i \(-0.0313317\pi\)
−0.463910 + 0.885882i \(0.653554\pi\)
\(720\) 0.576379 13.1758i 0.0214804 0.491032i
\(721\) 0.781047 0.567464i 0.0290877 0.0211335i
\(722\) −15.0643 + 15.1719i −0.560636 + 0.564641i
\(723\) 0.306131 + 0.942173i 0.0113851 + 0.0350398i
\(724\) 4.46296 3.74487i 0.165865 0.139177i
\(725\) 46.7058 2.43985i 1.73461 0.0906138i
\(726\) 0.00974301 0.0552554i 0.000361597 0.00205072i
\(727\) 16.0318 8.52425i 0.594586 0.316147i −0.144766 0.989466i \(-0.546243\pi\)
0.739352 + 0.673319i \(0.235132\pi\)
\(728\) −3.58074 + 5.30866i −0.132711 + 0.196752i
\(729\) 2.58597 + 24.6038i 0.0957765 + 0.911253i
\(730\) −8.06655 + 13.6916i −0.298556 + 0.506750i
\(731\) 1.83717 + 7.36850i 0.0679503 + 0.272534i
\(732\) 0.164810 + 0.138292i 0.00609157 + 0.00511143i
\(733\) −4.66789 + 44.4120i −0.172412 + 1.64039i 0.476244 + 0.879313i \(0.341998\pi\)
−0.648657 + 0.761081i \(0.724669\pi\)
\(734\) 15.9491 + 17.7132i 0.588691 + 0.653808i
\(735\) 2.32738 + 1.98811i 0.0858466 + 0.0733325i
\(736\) 20.4164 10.8556i 0.752559 0.400143i
\(737\) −5.46435 2.90545i −0.201282 0.107024i
\(738\) −13.3499 + 17.0871i −0.491416 + 0.628983i
\(739\) −16.9928 10.6183i −0.625091 0.390600i 0.180073 0.983653i \(-0.442367\pi\)
−0.805163 + 0.593053i \(0.797922\pi\)
\(740\) 4.03679 0.820940i 0.148395 0.0301784i
\(741\) 2.63899 + 1.73996i 0.0969458 + 0.0639192i
\(742\) −6.83448 4.96554i −0.250902 0.182291i
\(743\) 28.8149 24.1786i 1.05712 0.887027i 0.0632932 0.997995i \(-0.479840\pi\)
0.993824 + 0.110968i \(0.0353952\pi\)
\(744\) 3.42492 + 5.07765i 0.125564 + 0.186156i
\(745\) 34.6998 + 10.2817i 1.27130 + 0.376693i
\(746\) 26.7413 + 25.8238i 0.979069 + 0.945476i
\(747\) 4.47559 6.63534i 0.163753 0.242774i
\(748\) −8.42948 1.79174i −0.308212 0.0655125i
\(749\) 0.143156 + 0.247953i 0.00523080 + 0.00906002i
\(750\) −2.57742 0.248835i −0.0941141 0.00908618i
\(751\) −23.8246 19.9912i −0.869371 0.729489i 0.0945948 0.995516i \(-0.469844\pi\)
−0.963966 + 0.266027i \(0.914289\pi\)
\(752\) 5.46543 6.06998i 0.199304 0.221349i
\(753\) 0.368169 + 3.50289i 0.0134168 + 0.127652i
\(754\) 20.7385 30.7461i 0.755253 1.11971i
\(755\) 3.91626 0.239197i 0.142527 0.00870528i
\(756\) −0.382350 + 0.369231i −0.0139059 + 0.0134288i
\(757\) −10.7005 3.89467i −0.388917 0.141554i 0.140158 0.990129i \(-0.455239\pi\)
−0.529075 + 0.848575i \(0.677461\pi\)
\(758\) 4.55982 0.318853i 0.165620 0.0115813i
\(759\) −1.26163 + 3.88289i −0.0457942 + 0.140940i
\(760\) 17.6649 + 24.2271i 0.640773 + 0.878811i
\(761\) 11.5617 + 35.5832i 0.419110 + 1.28989i 0.908523 + 0.417836i \(0.137211\pi\)
−0.489412 + 0.872052i \(0.662789\pi\)
\(762\) 1.33780 + 3.31116i 0.0484632 + 0.119951i
\(763\) −4.96978 + 6.36103i −0.179918 + 0.230285i
\(764\) −3.69561 + 0.519383i −0.133702 + 0.0187906i
\(765\) 17.8771 14.7342i 0.646348 0.532716i
\(766\) 0.284560 + 8.14875i 0.0102816 + 0.294426i
\(767\) −8.41751 + 3.74772i −0.303939 + 0.135322i
\(768\) −1.53846 2.66468i −0.0555142 0.0961534i
\(769\) 1.67939 + 6.73566i 0.0605603 + 0.242894i 0.992945 0.118572i \(-0.0378317\pi\)
−0.932385 + 0.361467i \(0.882276\pi\)
\(770\) 0.908731 4.90077i