Properties

Label 483.2.r.a.412.13
Level $483$
Weight $2$
Character 483.412
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 412.13
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.795109 - 0.510986i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.459738 - 1.00669i) q^{4} +(1.49456 + 0.438843i) q^{5} +(0.859737 + 0.392629i) q^{6} +(-0.275939 - 2.63132i) q^{7} +(-0.417877 + 2.90640i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(-0.795109 - 0.510986i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.459738 - 1.00669i) q^{4} +(1.49456 + 0.438843i) q^{5} +(0.859737 + 0.392629i) q^{6} +(-0.275939 - 2.63132i) q^{7} +(-0.417877 + 2.90640i) q^{8} +(0.959493 - 0.281733i) q^{9} +(-0.964098 - 1.11263i) q^{10} +(-0.572532 - 0.890878i) q^{11} +(0.598324 + 0.931011i) q^{12} +(0.623842 - 0.540562i) q^{13} +(-1.12517 + 2.23319i) q^{14} +(-1.54180 - 0.221678i) q^{15} +(0.367925 - 0.424608i) q^{16} +(2.42411 - 5.30805i) q^{17} +(-0.906863 - 0.266279i) q^{18} +(-0.166950 - 0.365570i) q^{19} +(-0.245330 - 1.70631i) q^{20} +(0.647606 + 2.56527i) q^{21} +1.00090i q^{22} +(-3.24202 + 3.53402i) q^{23} -2.93629i q^{24} +(-2.16514 - 1.39145i) q^{25} +(-0.772242 + 0.111032i) q^{26} +(-0.909632 + 0.415415i) q^{27} +(-2.52205 + 1.48750i) q^{28} +(-0.929966 + 2.03634i) q^{29} +(1.11263 + 0.964098i) q^{30} +(-6.11805 - 0.879642i) q^{31} +(5.12518 - 1.50489i) q^{32} +(0.693490 + 0.800330i) q^{33} +(-4.63977 + 2.98180i) q^{34} +(0.742330 - 4.05377i) q^{35} +(-0.724731 - 0.836384i) q^{36} +(-3.05924 - 10.4188i) q^{37} +(-0.0540574 + 0.375978i) q^{38} +(-0.540562 + 0.623842i) q^{39} +(-1.90000 + 4.16041i) q^{40} +(3.48835 - 11.8802i) q^{41} +(0.795898 - 2.37059i) q^{42} +(-11.9776 + 1.72211i) q^{43} +(-0.633619 + 0.985930i) q^{44} +1.55766 q^{45} +(4.38360 - 1.15331i) q^{46} +4.76463i q^{47} +(-0.303752 + 0.472647i) q^{48} +(-6.84772 + 1.45217i) q^{49} +(1.01051 + 2.21271i) q^{50} +(-1.64402 + 5.59901i) q^{51} +(-0.830979 - 0.379495i) q^{52} +(-4.79415 - 4.15415i) q^{53} +(0.935528 + 0.134509i) q^{54} +(-0.464730 - 1.58272i) q^{55} +(7.76298 + 0.297582i) q^{56} +(0.217277 + 0.338090i) q^{57} +(1.77997 - 1.14391i) q^{58} +(4.32793 - 3.75017i) q^{59} +(0.485665 + 1.65402i) q^{60} +(-1.11823 + 7.77749i) q^{61} +(4.41503 + 3.82565i) q^{62} +(-1.00609 - 2.44699i) q^{63} +(-5.92222 - 1.73892i) q^{64} +(1.16959 - 0.534135i) q^{65} +(-0.142443 - 0.990713i) q^{66} +(0.784651 - 1.22094i) q^{67} -6.45799 q^{68} +(2.70608 - 3.95944i) q^{69} +(-2.66165 + 2.84387i) q^{70} +(8.54463 + 5.49130i) q^{71} +(0.417877 + 2.90640i) q^{72} +(13.8221 - 6.31233i) q^{73} +(-2.89144 + 9.84734i) q^{74} +(2.34112 + 1.06915i) q^{75} +(-0.291261 + 0.336133i) q^{76} +(-2.18620 + 1.75234i) q^{77} +(0.748580 - 0.219803i) q^{78} +(1.45453 - 1.26036i) q^{79} +(0.736223 - 0.473142i) q^{80} +(0.841254 - 0.540641i) q^{81} +(-8.84424 + 7.66358i) q^{82} +(4.40875 - 1.29453i) q^{83} +(2.28469 - 1.83129i) q^{84} +(5.95238 - 6.86941i) q^{85} +(10.4035 + 4.75110i) q^{86} +(0.630698 - 2.14796i) q^{87} +(2.82849 - 1.29173i) q^{88} +(1.25773 + 8.74770i) q^{89} +(-1.23851 - 0.795941i) q^{90} +(-1.59453 - 1.49237i) q^{91} +(5.04812 + 1.63897i) q^{92} +6.18096 q^{93} +(2.43466 - 3.78840i) q^{94} +(-0.0890897 - 0.619633i) q^{95} +(-4.85885 + 2.21896i) q^{96} +(4.81079 + 1.41258i) q^{97} +(6.18672 + 2.34445i) q^{98} +(-0.800330 - 0.693490i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.795109 0.510986i −0.562227 0.361321i 0.228449 0.973556i \(-0.426635\pi\)
−0.790676 + 0.612234i \(0.790271\pi\)
\(3\) −0.989821 + 0.142315i −0.571474 + 0.0821655i
\(4\) −0.459738 1.00669i −0.229869 0.503343i
\(5\) 1.49456 + 0.438843i 0.668388 + 0.196257i 0.598285 0.801283i \(-0.295849\pi\)
0.0701032 + 0.997540i \(0.477667\pi\)
\(6\) 0.859737 + 0.392629i 0.350986 + 0.160290i
\(7\) −0.275939 2.63132i −0.104295 0.994546i
\(8\) −0.417877 + 2.90640i −0.147742 + 1.02757i
\(9\) 0.959493 0.281733i 0.319831 0.0939109i
\(10\) −0.964098 1.11263i −0.304874 0.351844i
\(11\) −0.572532 0.890878i −0.172625 0.268610i 0.744151 0.668011i \(-0.232854\pi\)
−0.916776 + 0.399402i \(0.869218\pi\)
\(12\) 0.598324 + 0.931011i 0.172721 + 0.268760i
\(13\) 0.623842 0.540562i 0.173023 0.149925i −0.564045 0.825744i \(-0.690755\pi\)
0.737067 + 0.675819i \(0.236210\pi\)
\(14\) −1.12517 + 2.23319i −0.300714 + 0.596845i
\(15\) −1.54180 0.221678i −0.398092 0.0572370i
\(16\) 0.367925 0.424608i 0.0919812 0.106152i
\(17\) 2.42411 5.30805i 0.587932 1.28739i −0.348752 0.937215i \(-0.613394\pi\)
0.936684 0.350176i \(-0.113878\pi\)
\(18\) −0.906863 0.266279i −0.213750 0.0627626i
\(19\) −0.166950 0.365570i −0.0383011 0.0838676i 0.889514 0.456907i \(-0.151043\pi\)
−0.927815 + 0.373040i \(0.878316\pi\)
\(20\) −0.245330 1.70631i −0.0548574 0.381542i
\(21\) 0.647606 + 2.56527i 0.141319 + 0.559788i
\(22\) 1.00090i 0.213393i
\(23\) −3.24202 + 3.53402i −0.676008 + 0.736894i
\(24\) 2.93629i 0.599367i
\(25\) −2.16514 1.39145i −0.433027 0.278290i
\(26\) −0.772242 + 0.111032i −0.151449 + 0.0217751i
\(27\) −0.909632 + 0.415415i −0.175059 + 0.0799467i
\(28\) −2.52205 + 1.48750i −0.476623 + 0.281111i
\(29\) −0.929966 + 2.03634i −0.172690 + 0.378139i −0.976111 0.217273i \(-0.930284\pi\)
0.803421 + 0.595412i \(0.203011\pi\)
\(30\) 1.11263 + 0.964098i 0.203137 + 0.176019i
\(31\) −6.11805 0.879642i −1.09883 0.157988i −0.431038 0.902334i \(-0.641853\pi\)
−0.667795 + 0.744345i \(0.732762\pi\)
\(32\) 5.12518 1.50489i 0.906013 0.266029i
\(33\) 0.693490 + 0.800330i 0.120721 + 0.139320i
\(34\) −4.63977 + 2.98180i −0.795713 + 0.511374i
\(35\) 0.742330 4.05377i 0.125477 0.685212i
\(36\) −0.724731 0.836384i −0.120788 0.139397i
\(37\) −3.05924 10.4188i −0.502937 1.71284i −0.684097 0.729391i \(-0.739804\pi\)
0.181161 0.983454i \(-0.442015\pi\)
\(38\) −0.0540574 + 0.375978i −0.00876928 + 0.0609917i
\(39\) −0.540562 + 0.623842i −0.0865592 + 0.0998946i
\(40\) −1.90000 + 4.16041i −0.300416 + 0.657819i
\(41\) 3.48835 11.8802i 0.544788 1.85538i 0.0274059 0.999624i \(-0.491275\pi\)
0.517382 0.855754i \(-0.326906\pi\)
\(42\) 0.795898 2.37059i 0.122810 0.365789i
\(43\) −11.9776 + 1.72211i −1.82656 + 0.262620i −0.968155 0.250350i \(-0.919454\pi\)
−0.858406 + 0.512970i \(0.828545\pi\)
\(44\) −0.633619 + 0.985930i −0.0955216 + 0.148634i
\(45\) 1.55766 0.232202
\(46\) 4.38360 1.15331i 0.646326 0.170046i
\(47\) 4.76463i 0.694992i 0.937681 + 0.347496i \(0.112968\pi\)
−0.937681 + 0.347496i \(0.887032\pi\)
\(48\) −0.303752 + 0.472647i −0.0438428 + 0.0682208i
\(49\) −6.84772 + 1.45217i −0.978245 + 0.207452i
\(50\) 1.01051 + 2.21271i 0.142908 + 0.312924i
\(51\) −1.64402 + 5.59901i −0.230208 + 0.784018i
\(52\) −0.830979 0.379495i −0.115236 0.0526265i
\(53\) −4.79415 4.15415i −0.658527 0.570617i 0.260179 0.965561i \(-0.416219\pi\)
−0.918705 + 0.394944i \(0.870764\pi\)
\(54\) 0.935528 + 0.134509i 0.127309 + 0.0183043i
\(55\) −0.464730 1.58272i −0.0626641 0.213414i
\(56\) 7.76298 + 0.297582i 1.03737 + 0.0397661i
\(57\) 0.217277 + 0.338090i 0.0287791 + 0.0447811i
\(58\) 1.77997 1.14391i 0.233721 0.150203i
\(59\) 4.32793 3.75017i 0.563448 0.488231i −0.325936 0.945392i \(-0.605679\pi\)
0.889384 + 0.457161i \(0.151134\pi\)
\(60\) 0.485665 + 1.65402i 0.0626991 + 0.213534i
\(61\) −1.11823 + 7.77749i −0.143175 + 0.995805i 0.783888 + 0.620902i \(0.213233\pi\)
−0.927064 + 0.374904i \(0.877676\pi\)
\(62\) 4.41503 + 3.82565i 0.560709 + 0.485857i
\(63\) −1.00609 2.44699i −0.126755 0.308292i
\(64\) −5.92222 1.73892i −0.740277 0.217365i
\(65\) 1.16959 0.534135i 0.145070 0.0662513i
\(66\) −0.142443 0.990713i −0.0175335 0.121948i
\(67\) 0.784651 1.22094i 0.0958603 0.149162i −0.790011 0.613093i \(-0.789925\pi\)
0.885871 + 0.463931i \(0.153562\pi\)
\(68\) −6.45799 −0.783146
\(69\) 2.70608 3.95944i 0.325774 0.476660i
\(70\) −2.66165 + 2.84387i −0.318128 + 0.339907i
\(71\) 8.54463 + 5.49130i 1.01406 + 0.651697i 0.938441 0.345439i \(-0.112270\pi\)
0.0756198 + 0.997137i \(0.475906\pi\)
\(72\) 0.417877 + 2.90640i 0.0492473 + 0.342523i
\(73\) 13.8221 6.31233i 1.61775 0.738802i 0.618842 0.785515i \(-0.287602\pi\)
0.998908 + 0.0467134i \(0.0148748\pi\)
\(74\) −2.89144 + 9.84734i −0.336123 + 1.14473i
\(75\) 2.34112 + 1.06915i 0.270329 + 0.123455i
\(76\) −0.291261 + 0.336133i −0.0334099 + 0.0385571i
\(77\) −2.18620 + 1.75234i −0.249141 + 0.199698i
\(78\) 0.748580 0.219803i 0.0847600 0.0248878i
\(79\) 1.45453 1.26036i 0.163647 0.141801i −0.569188 0.822208i \(-0.692742\pi\)
0.732835 + 0.680406i \(0.238197\pi\)
\(80\) 0.736223 0.473142i 0.0823122 0.0528989i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) −8.84424 + 7.66358i −0.976683 + 0.846301i
\(83\) 4.40875 1.29453i 0.483923 0.142093i −0.0306656 0.999530i \(-0.509763\pi\)
0.514589 + 0.857437i \(0.327945\pi\)
\(84\) 2.28469 1.83129i 0.249280 0.199810i
\(85\) 5.95238 6.86941i 0.645626 0.745092i
\(86\) 10.4035 + 4.75110i 1.12183 + 0.512324i
\(87\) 0.630698 2.14796i 0.0676180 0.230286i
\(88\) 2.82849 1.29173i 0.301519 0.137699i
\(89\) 1.25773 + 8.74770i 0.133319 + 0.927254i 0.941186 + 0.337889i \(0.109713\pi\)
−0.807867 + 0.589365i \(0.799378\pi\)
\(90\) −1.23851 0.795941i −0.130550 0.0838996i
\(91\) −1.59453 1.49237i −0.167153 0.156443i
\(92\) 5.04812 + 1.63897i 0.526303 + 0.170875i
\(93\) 6.18096 0.640936
\(94\) 2.43466 3.78840i 0.251116 0.390744i
\(95\) −0.0890897 0.619633i −0.00914042 0.0635730i
\(96\) −4.85885 + 2.21896i −0.495904 + 0.226472i
\(97\) 4.81079 + 1.41258i 0.488462 + 0.143425i 0.516684 0.856176i \(-0.327166\pi\)
−0.0282218 + 0.999602i \(0.508984\pi\)
\(98\) 6.18672 + 2.34445i 0.624953 + 0.236826i
\(99\) −0.800330 0.693490i −0.0804362 0.0696984i
\(100\) −0.405356 + 2.81931i −0.0405356 + 0.281931i
\(101\) 3.57035 + 12.1595i 0.355263 + 1.20991i 0.922382 + 0.386278i \(0.126240\pi\)
−0.567119 + 0.823636i \(0.691942\pi\)
\(102\) 4.16819 3.61175i 0.412712 0.357617i
\(103\) −1.10932 + 0.712920i −0.109305 + 0.0702461i −0.594151 0.804353i \(-0.702512\pi\)
0.484846 + 0.874599i \(0.338876\pi\)
\(104\) 1.31040 + 2.03902i 0.128495 + 0.199943i
\(105\) −0.157863 + 4.11815i −0.0154059 + 0.401890i
\(106\) 1.68916 + 5.75274i 0.164066 + 0.558756i
\(107\) −13.3226 1.91551i −1.28795 0.185179i −0.535897 0.844283i \(-0.680026\pi\)
−0.752051 + 0.659104i \(0.770935\pi\)
\(108\) 0.836384 + 0.724731i 0.0804811 + 0.0697373i
\(109\) 7.36542 + 3.36368i 0.705480 + 0.322182i 0.735649 0.677363i \(-0.236877\pi\)
−0.0301692 + 0.999545i \(0.509605\pi\)
\(110\) −0.439238 + 1.49591i −0.0418797 + 0.142629i
\(111\) 4.51086 + 9.87740i 0.428152 + 0.937522i
\(112\) −1.21881 0.850964i −0.115166 0.0804085i
\(113\) 3.83446 5.96654i 0.360716 0.561285i −0.612704 0.790313i \(-0.709918\pi\)
0.973420 + 0.229027i \(0.0735545\pi\)
\(114\) 0.379844i 0.0355757i
\(115\) −6.39628 + 3.85907i −0.596456 + 0.359860i
\(116\) 2.47749 0.230030
\(117\) 0.446278 0.694422i 0.0412584 0.0641993i
\(118\) −5.35746 + 0.770286i −0.493194 + 0.0709106i
\(119\) −14.6361 4.91391i −1.34169 0.450457i
\(120\) 1.28857 4.38846i 0.117630 0.400610i
\(121\) 4.10370 8.98584i 0.373063 0.816894i
\(122\) 4.86330 5.61255i 0.440303 0.508137i
\(123\) −1.76211 + 12.2557i −0.158884 + 1.10506i
\(124\) 1.92717 + 6.56335i 0.173065 + 0.589406i
\(125\) −7.72555 8.91576i −0.690994 0.797450i
\(126\) −0.450428 + 2.45973i −0.0401273 + 0.219130i
\(127\) 15.1987 9.76761i 1.34867 0.866735i 0.351092 0.936341i \(-0.385811\pi\)
0.997575 + 0.0696058i \(0.0221741\pi\)
\(128\) −3.17570 3.66496i −0.280695 0.323939i
\(129\) 11.6106 3.40917i 1.02225 0.300161i
\(130\) −1.20289 0.172949i −0.105500 0.0151687i
\(131\) 10.9999 + 9.53145i 0.961064 + 0.832767i 0.985970 0.166923i \(-0.0533832\pi\)
−0.0249060 + 0.999690i \(0.507929\pi\)
\(132\) 0.486857 1.06607i 0.0423754 0.0927893i
\(133\) −0.915866 + 0.540175i −0.0794156 + 0.0468392i
\(134\) −1.24777 + 0.569836i −0.107791 + 0.0492263i
\(135\) −1.54180 + 0.221678i −0.132697 + 0.0190790i
\(136\) 14.4143 + 9.26353i 1.23602 + 0.794341i
\(137\) 13.6523i 1.16639i −0.812331 0.583196i \(-0.801802\pi\)
0.812331 0.583196i \(-0.198198\pi\)
\(138\) −4.17484 + 1.76542i −0.355386 + 0.150282i
\(139\) 9.52668i 0.808043i −0.914750 0.404021i \(-0.867612\pi\)
0.914750 0.404021i \(-0.132388\pi\)
\(140\) −4.42214 + 1.11638i −0.373739 + 0.0943511i
\(141\) −0.678077 4.71613i −0.0571044 0.397170i
\(142\) −3.98794 8.73237i −0.334660 0.732804i
\(143\) −0.838744 0.246277i −0.0701393 0.0205948i
\(144\) 0.233396 0.511065i 0.0194496 0.0425887i
\(145\) −2.28352 + 2.63533i −0.189636 + 0.218852i
\(146\) −14.2156 2.04389i −1.17649 0.169153i
\(147\) 6.57135 2.41192i 0.541996 0.198932i
\(148\) −9.08203 + 7.86962i −0.746538 + 0.646879i
\(149\) 9.93721 + 15.4626i 0.814088 + 1.26675i 0.960710 + 0.277554i \(0.0895236\pi\)
−0.146622 + 0.989193i \(0.546840\pi\)
\(150\) −1.31512 2.04637i −0.107379 0.167086i
\(151\) −4.25045 4.90528i −0.345897 0.399186i 0.555969 0.831203i \(-0.312347\pi\)
−0.901865 + 0.432017i \(0.857802\pi\)
\(152\) 1.13226 0.332461i 0.0918383 0.0269662i
\(153\) 0.830461 5.77599i 0.0671388 0.466961i
\(154\) 2.63369 0.276187i 0.212229 0.0222558i
\(155\) −8.75777 3.99954i −0.703441 0.321251i
\(156\) 0.876529 + 0.257372i 0.0701785 + 0.0206063i
\(157\) −4.71456 10.3235i −0.376263 0.823901i −0.999135 0.0415777i \(-0.986762\pi\)
0.622872 0.782324i \(-0.285966\pi\)
\(158\) −1.80053 + 0.258878i −0.143243 + 0.0205952i
\(159\) 5.33655 + 3.42959i 0.423216 + 0.271984i
\(160\) 8.32032 0.657779
\(161\) 10.1937 + 7.55563i 0.803380 + 0.595467i
\(162\) −0.945148 −0.0742579
\(163\) 9.93087 + 6.38218i 0.777846 + 0.499891i 0.868318 0.496008i \(-0.165201\pi\)
−0.0904723 + 0.995899i \(0.528838\pi\)
\(164\) −13.5634 + 1.95012i −1.05912 + 0.152279i
\(165\) 0.685244 + 1.50048i 0.0533462 + 0.116812i
\(166\) −4.16692 1.22352i −0.323416 0.0949635i
\(167\) 1.56423 + 0.714359i 0.121044 + 0.0552787i 0.475016 0.879977i \(-0.342442\pi\)
−0.353973 + 0.935256i \(0.615169\pi\)
\(168\) −7.72632 + 0.810235i −0.596098 + 0.0625110i
\(169\) −1.75312 + 12.1932i −0.134856 + 0.937941i
\(170\) −8.24296 + 2.42035i −0.632206 + 0.185632i
\(171\) −0.263181 0.303727i −0.0201259 0.0232266i
\(172\) 7.24016 + 11.2659i 0.552057 + 0.859018i
\(173\) −0.0274912 0.0427771i −0.00209011 0.00325228i 0.840207 0.542266i \(-0.182433\pi\)
−0.842297 + 0.539014i \(0.818797\pi\)
\(174\) −1.59905 + 1.38559i −0.121224 + 0.105041i
\(175\) −3.06390 + 6.08112i −0.231609 + 0.459690i
\(176\) −0.588923 0.0846743i −0.0443917 0.00638257i
\(177\) −3.75017 + 4.32793i −0.281880 + 0.325307i
\(178\) 3.46992 7.59806i 0.260081 0.569499i
\(179\) −12.1769 3.57546i −0.910144 0.267242i −0.207042 0.978332i \(-0.566384\pi\)
−0.703101 + 0.711090i \(0.748202\pi\)
\(180\) −0.716114 1.56807i −0.0533760 0.116877i
\(181\) 1.74477 + 12.1351i 0.129688 + 0.901997i 0.945949 + 0.324314i \(0.105134\pi\)
−0.816262 + 0.577682i \(0.803957\pi\)
\(182\) 0.505251 + 2.00138i 0.0374517 + 0.148352i
\(183\) 7.85747i 0.580841i
\(184\) −8.91651 10.8994i −0.657334 0.803514i
\(185\) 16.9141i 1.24355i
\(186\) −4.91454 3.15838i −0.360351 0.231584i
\(187\) −6.11670 + 0.879449i −0.447298 + 0.0643117i
\(188\) 4.79648 2.19048i 0.349819 0.159757i
\(189\) 1.34409 + 2.27891i 0.0977684 + 0.165766i
\(190\) −0.245787 + 0.538199i −0.0178313 + 0.0390451i
\(191\) 6.41247 + 5.55644i 0.463990 + 0.402050i 0.855238 0.518236i \(-0.173411\pi\)
−0.391248 + 0.920285i \(0.627956\pi\)
\(192\) 6.10941 + 0.878401i 0.440909 + 0.0633931i
\(193\) −5.66336 + 1.66291i −0.407657 + 0.119699i −0.479131 0.877744i \(-0.659048\pi\)
0.0714735 + 0.997442i \(0.477230\pi\)
\(194\) −3.10330 3.58140i −0.222804 0.257129i
\(195\) −1.08167 + 0.695148i −0.0774601 + 0.0497806i
\(196\) 4.61003 + 6.22588i 0.329288 + 0.444706i
\(197\) −0.684320 0.789748i −0.0487558 0.0562672i 0.730848 0.682540i \(-0.239125\pi\)
−0.779604 + 0.626273i \(0.784579\pi\)
\(198\) 0.281986 + 0.960357i 0.0200399 + 0.0682496i
\(199\) 3.13182 21.7823i 0.222009 1.54410i −0.508417 0.861111i \(-0.669769\pi\)
0.730426 0.682992i \(-0.239322\pi\)
\(200\) 4.94886 5.71129i 0.349938 0.403850i
\(201\) −0.602906 + 1.32018i −0.0425257 + 0.0931183i
\(202\) 3.37451 11.4925i 0.237430 0.808611i
\(203\) 5.61488 + 1.88513i 0.394087 + 0.132311i
\(204\) 6.39225 0.919067i 0.447547 0.0643476i
\(205\) 10.4271 16.2249i 0.728260 1.13320i
\(206\) 1.24633 0.0868357
\(207\) −2.11505 + 4.30425i −0.147006 + 0.299166i
\(208\) 0.463774i 0.0321570i
\(209\) −0.230094 + 0.358033i −0.0159159 + 0.0247657i
\(210\) 2.22983 3.19371i 0.153873 0.220387i
\(211\) 2.24439 + 4.91453i 0.154510 + 0.338330i 0.971019 0.239003i \(-0.0768206\pi\)
−0.816509 + 0.577333i \(0.804093\pi\)
\(212\) −1.97787 + 6.73601i −0.135841 + 0.462631i
\(213\) −9.23915 4.21938i −0.633056 0.289107i
\(214\) 9.61416 + 8.33072i 0.657210 + 0.569476i
\(215\) −18.6570 2.68246i −1.27239 0.182943i
\(216\) −0.827248 2.81735i −0.0562871 0.191696i
\(217\) −0.626418 + 16.3413i −0.0425240 + 1.10932i
\(218\) −4.13753 6.43812i −0.280229 0.436044i
\(219\) −12.7830 + 8.21516i −0.863798 + 0.555129i
\(220\) −1.37965 + 1.19547i −0.0930160 + 0.0805988i
\(221\) −1.35707 4.62176i −0.0912865 0.310893i
\(222\) 1.46059 10.1586i 0.0980281 0.681800i
\(223\) −14.9294 12.9364i −0.999749 0.866287i −0.00872368 0.999962i \(-0.502777\pi\)
−0.991025 + 0.133675i \(0.957322\pi\)
\(224\) −5.37409 13.0708i −0.359071 0.873327i
\(225\) −2.46945 0.725095i −0.164630 0.0483397i
\(226\) −6.09764 + 2.78470i −0.405609 + 0.185235i
\(227\) −0.701231 4.87717i −0.0465423 0.323709i −0.999770 0.0214552i \(-0.993170\pi\)
0.953227 0.302254i \(-0.0977390\pi\)
\(228\) 0.240460 0.374162i 0.0159248 0.0247795i
\(229\) 20.9952 1.38740 0.693702 0.720262i \(-0.255978\pi\)
0.693702 + 0.720262i \(0.255978\pi\)
\(230\) 7.05767 + 0.200023i 0.465369 + 0.0131892i
\(231\) 1.91457 2.04564i 0.125969 0.134593i
\(232\) −5.52981 3.55379i −0.363050 0.233318i
\(233\) 1.19941 + 8.34209i 0.0785760 + 0.546508i 0.990644 + 0.136470i \(0.0435756\pi\)
−0.912068 + 0.410038i \(0.865515\pi\)
\(234\) −0.709679 + 0.324100i −0.0463932 + 0.0211871i
\(235\) −2.09092 + 7.12103i −0.136397 + 0.464525i
\(236\) −5.76495 2.63277i −0.375266 0.171378i
\(237\) −1.26036 + 1.45453i −0.0818690 + 0.0944818i
\(238\) 9.12636 + 11.3859i 0.591574 + 0.738040i
\(239\) −1.78705 + 0.524725i −0.115595 + 0.0339416i −0.339018 0.940780i \(-0.610095\pi\)
0.223424 + 0.974721i \(0.428277\pi\)
\(240\) −0.661394 + 0.573101i −0.0426928 + 0.0369935i
\(241\) −7.83054 + 5.03239i −0.504410 + 0.324164i −0.767978 0.640476i \(-0.778737\pi\)
0.263568 + 0.964641i \(0.415101\pi\)
\(242\) −7.85452 + 5.04779i −0.504908 + 0.324485i
\(243\) −0.755750 + 0.654861i −0.0484814 + 0.0420093i
\(244\) 8.34358 2.44990i 0.534143 0.156838i
\(245\) −10.8716 0.834719i −0.694562 0.0533283i
\(246\) 7.66358 8.84424i 0.488612 0.563888i
\(247\) −0.301764 0.137811i −0.0192008 0.00876871i
\(248\) 5.11318 17.4139i 0.324688 1.10578i
\(249\) −4.17965 + 1.90878i −0.264874 + 0.120964i
\(250\) 1.58683 + 11.0366i 0.100360 + 0.698019i
\(251\) −3.83302 2.46333i −0.241938 0.155484i 0.414053 0.910253i \(-0.364113\pi\)
−0.655991 + 0.754769i \(0.727749\pi\)
\(252\) −2.00082 + 2.13779i −0.126040 + 0.134668i
\(253\) 5.00454 + 0.864904i 0.314633 + 0.0543760i
\(254\) −17.0757 −1.07143
\(255\) −4.91417 + 7.64660i −0.307737 + 0.478849i
\(256\) 2.40909 + 16.7556i 0.150568 + 1.04723i
\(257\) 3.46291 1.58146i 0.216011 0.0986487i −0.304471 0.952522i \(-0.598480\pi\)
0.520482 + 0.853873i \(0.325752\pi\)
\(258\) −10.9737 3.22217i −0.683193 0.200604i
\(259\) −26.5711 + 10.9248i −1.65105 + 0.678835i
\(260\) −1.07541 0.931849i −0.0666942 0.0577908i
\(261\) −0.318592 + 2.21586i −0.0197203 + 0.137158i
\(262\) −3.87567 13.1993i −0.239440 0.815457i
\(263\) −6.17816 + 5.35341i −0.380962 + 0.330105i −0.824200 0.566299i \(-0.808375\pi\)
0.443238 + 0.896404i \(0.353829\pi\)
\(264\) −2.61587 + 1.68112i −0.160996 + 0.103466i
\(265\) −5.34213 8.31251i −0.328164 0.510634i
\(266\) 1.00424 + 0.0384958i 0.0615736 + 0.00236033i
\(267\) −2.48986 8.47967i −0.152377 0.518947i
\(268\) −1.58984 0.228584i −0.0971147 0.0139630i
\(269\) 11.3787 + 9.85968i 0.693770 + 0.601155i 0.928689 0.370860i \(-0.120937\pi\)
−0.234919 + 0.972015i \(0.575482\pi\)
\(270\) 1.33918 + 0.611581i 0.0814997 + 0.0372197i
\(271\) 7.95208 27.0823i 0.483055 1.64513i −0.252447 0.967611i \(-0.581235\pi\)
0.735502 0.677523i \(-0.236946\pi\)
\(272\) −1.36195 2.98226i −0.0825805 0.180826i
\(273\) 1.79069 + 1.25025i 0.108378 + 0.0756686i
\(274\) −6.97612 + 10.8551i −0.421443 + 0.655778i
\(275\) 2.72552i 0.164355i
\(276\) −5.22999 0.903867i −0.314809 0.0544064i
\(277\) −15.4698 −0.929493 −0.464746 0.885444i \(-0.653855\pi\)
−0.464746 + 0.885444i \(0.653855\pi\)
\(278\) −4.86800 + 7.57475i −0.291963 + 0.454303i
\(279\) −6.11805 + 0.879642i −0.366278 + 0.0526628i
\(280\) 11.4717 + 3.85149i 0.685563 + 0.230170i
\(281\) −4.63731 + 15.7932i −0.276639 + 0.942145i 0.697574 + 0.716513i \(0.254263\pi\)
−0.974213 + 0.225632i \(0.927555\pi\)
\(282\) −1.87073 + 4.09633i −0.111400 + 0.243933i
\(283\) 7.64541 8.82328i 0.454473 0.524489i −0.481555 0.876416i \(-0.659928\pi\)
0.936028 + 0.351926i \(0.114473\pi\)
\(284\) 1.59972 11.1263i 0.0949260 0.660225i
\(285\) 0.176366 + 0.600647i 0.0104470 + 0.0355793i
\(286\) 0.541049 + 0.624404i 0.0319929 + 0.0369218i
\(287\) −32.2233 5.90076i −1.90208 0.348311i
\(288\) 4.49360 2.88786i 0.264788 0.170169i
\(289\) −11.1665 12.8868i −0.656852 0.758047i
\(290\) 3.16227 0.928525i 0.185695 0.0545249i
\(291\) −4.96286 0.713551i −0.290928 0.0418291i
\(292\) −12.7090 11.0125i −0.743741 0.644455i
\(293\) −5.61741 + 12.3004i −0.328173 + 0.718598i −0.999751 0.0223360i \(-0.992890\pi\)
0.671578 + 0.740934i \(0.265617\pi\)
\(294\) −6.45740 1.44013i −0.376603 0.0839900i
\(295\) 8.11409 3.70558i 0.472421 0.215747i
\(296\) 31.5597 4.53759i 1.83437 0.263742i
\(297\) 0.890878 + 0.572532i 0.0516940 + 0.0332217i
\(298\) 17.3722i 1.00635i
\(299\) −0.112152 + 3.95718i −0.00648589 + 0.228850i
\(300\) 2.84830i 0.164447i
\(301\) 7.83651 + 31.0416i 0.451689 + 1.78921i
\(302\) 0.873043 + 6.07215i 0.0502380 + 0.349413i
\(303\) −5.26448 11.5276i −0.302437 0.662244i
\(304\) −0.216649 0.0636140i −0.0124257 0.00364851i
\(305\) −5.08437 + 11.1332i −0.291130 + 0.637486i
\(306\) −3.61175 + 4.16819i −0.206470 + 0.238279i
\(307\) −16.5839 2.38441i −0.946493 0.136085i −0.348252 0.937401i \(-0.613225\pi\)
−0.598242 + 0.801316i \(0.704134\pi\)
\(308\) 2.76914 + 1.39520i 0.157786 + 0.0794988i
\(309\) 0.996574 0.863537i 0.0566931 0.0491249i
\(310\) 4.91968 + 7.65517i 0.279419 + 0.434784i
\(311\) 5.11122 + 7.95322i 0.289831 + 0.450985i 0.955385 0.295364i \(-0.0954410\pi\)
−0.665554 + 0.746350i \(0.731805\pi\)
\(312\) −1.58724 1.83178i −0.0898601 0.103704i
\(313\) 15.5101 4.55417i 0.876682 0.257417i 0.187727 0.982221i \(-0.439888\pi\)
0.688955 + 0.724804i \(0.258070\pi\)
\(314\) −1.52654 + 10.6174i −0.0861479 + 0.599172i
\(315\) −0.429818 4.09870i −0.0242175 0.230936i
\(316\) −1.93748 0.884819i −0.108992 0.0497750i
\(317\) 6.01183 + 1.76523i 0.337658 + 0.0991453i 0.446166 0.894950i \(-0.352789\pi\)
−0.108508 + 0.994096i \(0.534607\pi\)
\(318\) −2.49067 5.45380i −0.139670 0.305834i
\(319\) 2.34657 0.337385i 0.131382 0.0188899i
\(320\) −8.08801 5.19785i −0.452133 0.290568i
\(321\) 13.4596 0.751244
\(322\) −4.24432 11.2164i −0.236527 0.625066i
\(323\) −2.34517 −0.130489
\(324\) −0.931011 0.598324i −0.0517228 0.0332402i
\(325\) −2.10287 + 0.302346i −0.116646 + 0.0167712i
\(326\) −4.63492 10.1491i −0.256705 0.562105i
\(327\) −7.76916 2.28123i −0.429635 0.126152i
\(328\) 33.0710 + 15.1030i 1.82604 + 0.833924i
\(329\) 12.5373 1.31474i 0.691202 0.0724842i
\(330\) 0.221878 1.54319i 0.0122140 0.0849499i
\(331\) 15.7091 4.61261i 0.863450 0.253532i 0.180123 0.983644i \(-0.442350\pi\)
0.683327 + 0.730112i \(0.260532\pi\)
\(332\) −3.33005 3.84308i −0.182760 0.210917i
\(333\) −5.87065 9.13490i −0.321709 0.500590i
\(334\) −0.878705 1.36729i −0.0480806 0.0748149i
\(335\) 1.70851 1.48043i 0.0933459 0.0808847i
\(336\) 1.32750 + 0.668848i 0.0724213 + 0.0364886i
\(337\) −16.1093 2.31616i −0.877527 0.126169i −0.311195 0.950346i \(-0.600729\pi\)
−0.566332 + 0.824177i \(0.691638\pi\)
\(338\) 7.62449 8.79913i 0.414718 0.478610i
\(339\) −2.94631 + 6.45151i −0.160021 + 0.350398i
\(340\) −9.65186 2.83404i −0.523446 0.153698i
\(341\) 2.71913 + 5.95405i 0.147249 + 0.322430i
\(342\) 0.0540574 + 0.375978i 0.00292309 + 0.0203306i
\(343\) 5.71067 + 17.6178i 0.308347 + 0.951274i
\(344\) 35.5312i 1.91572i
\(345\) 5.78197 4.73008i 0.311291 0.254659i
\(346\) 0.0480600i 0.00258372i
\(347\) 24.0503 + 15.4562i 1.29109 + 0.829732i 0.992212 0.124560i \(-0.0397520\pi\)
0.298876 + 0.954292i \(0.403388\pi\)
\(348\) −2.45228 + 0.352584i −0.131456 + 0.0189005i
\(349\) 13.4413 6.13842i 0.719495 0.328582i −0.0217995 0.999762i \(-0.506940\pi\)
0.741294 + 0.671180i \(0.234212\pi\)
\(350\) 5.54351 3.26955i 0.296313 0.174765i
\(351\) −0.342909 + 0.750866i −0.0183031 + 0.0400782i
\(352\) −4.27501 3.70431i −0.227859 0.197441i
\(353\) 0.367098 + 0.0527808i 0.0195387 + 0.00280924i 0.152077 0.988369i \(-0.451404\pi\)
−0.132539 + 0.991178i \(0.542313\pi\)
\(354\) 5.19330 1.52489i 0.276021 0.0810471i
\(355\) 10.3607 + 11.9568i 0.549887 + 0.634603i
\(356\) 8.22795 5.28778i 0.436081 0.280252i
\(357\) 15.1864 + 2.78096i 0.803752 + 0.147184i
\(358\) 7.85495 + 9.06510i 0.415147 + 0.479105i
\(359\) −3.14912 10.7249i −0.166204 0.566040i −0.999904 0.0138224i \(-0.995600\pi\)
0.833700 0.552217i \(-0.186218\pi\)
\(360\) −0.650910 + 4.52718i −0.0343060 + 0.238603i
\(361\) 12.3366 14.2372i 0.649294 0.749325i
\(362\) 4.81359 10.5403i 0.252997 0.553986i
\(363\) −2.78311 + 9.47839i −0.146075 + 0.497487i
\(364\) −0.769276 + 2.29129i −0.0403210 + 0.120096i
\(365\) 23.4281 3.36845i 1.22628 0.176313i
\(366\) −4.01505 + 6.24755i −0.209870 + 0.326564i
\(367\) 22.5722 1.17826 0.589129 0.808039i \(-0.299471\pi\)
0.589129 + 0.808039i \(0.299471\pi\)
\(368\) 0.307753 + 2.67684i 0.0160427 + 0.139540i
\(369\) 12.3818i 0.644569i
\(370\) −8.64287 + 13.4486i −0.449321 + 0.699158i
\(371\) −9.60802 + 13.7612i −0.498824 + 0.714448i
\(372\) −2.84162 6.22228i −0.147331 0.322610i
\(373\) 4.36112 14.8526i 0.225810 0.769039i −0.766169 0.642639i \(-0.777840\pi\)
0.991979 0.126400i \(-0.0403422\pi\)
\(374\) 5.31283 + 2.42629i 0.274720 + 0.125460i
\(375\) 8.91576 + 7.72555i 0.460408 + 0.398946i
\(376\) −13.8479 1.99103i −0.714152 0.102680i
\(377\) 0.520617 + 1.77306i 0.0268131 + 0.0913171i
\(378\) 0.0957873 2.49879i 0.00492677 0.128524i
\(379\) 17.5830 + 27.3597i 0.903178 + 1.40537i 0.914125 + 0.405432i \(0.132879\pi\)
−0.0109469 + 0.999940i \(0.503485\pi\)
\(380\) −0.582817 + 0.374554i −0.0298979 + 0.0192142i
\(381\) −13.6539 + 11.8312i −0.699512 + 0.606130i
\(382\) −2.25936 7.69466i −0.115599 0.393693i
\(383\) 4.03447 28.0604i 0.206152 1.43382i −0.579410 0.815036i \(-0.696717\pi\)
0.785562 0.618783i \(-0.212374\pi\)
\(384\) 3.66496 + 3.17570i 0.187027 + 0.162059i
\(385\) −4.03642 + 1.65959i −0.205715 + 0.0845804i
\(386\) 5.35271 + 1.57170i 0.272446 + 0.0799973i
\(387\) −11.0072 + 5.02683i −0.559528 + 0.255528i
\(388\) −0.789683 5.49237i −0.0400901 0.278833i
\(389\) 18.0526 28.0904i 0.915304 1.42424i 0.00977633 0.999952i \(-0.496888\pi\)
0.905527 0.424288i \(-0.139476\pi\)
\(390\) 1.21526 0.0615370
\(391\) 10.8998 + 25.7757i 0.551224 + 1.30353i
\(392\) −1.35907 20.5090i −0.0686435 1.03586i
\(393\) −12.2444 7.86899i −0.617647 0.396938i
\(394\) 0.140560 + 0.977614i 0.00708129 + 0.0492515i
\(395\) 2.72698 1.24537i 0.137209 0.0626614i
\(396\) −0.330184 + 1.12450i −0.0165924 + 0.0565084i
\(397\) −8.58878 3.92236i −0.431059 0.196858i 0.188056 0.982158i \(-0.439781\pi\)
−0.619115 + 0.785300i \(0.712509\pi\)
\(398\) −13.6206 + 15.7190i −0.682737 + 0.787920i
\(399\) 0.829669 0.665019i 0.0415354 0.0332926i
\(400\) −1.38743 + 0.407385i −0.0693714 + 0.0203693i
\(401\) −9.16429 + 7.94090i −0.457643 + 0.396550i −0.852944 0.522002i \(-0.825185\pi\)
0.395302 + 0.918551i \(0.370640\pi\)
\(402\) 1.15397 0.741611i 0.0575548 0.0369882i
\(403\) −4.29219 + 2.75843i −0.213809 + 0.137407i
\(404\) 10.5993 9.18439i 0.527337 0.456940i
\(405\) 1.49456 0.438843i 0.0742654 0.0218063i
\(406\) −3.50117 4.36801i −0.173760 0.216781i
\(407\) −7.53038 + 8.69053i −0.373267 + 0.430773i
\(408\) −15.5860 7.11787i −0.771620 0.352387i
\(409\) −10.3051 + 35.0961i −0.509557 + 1.73539i 0.154772 + 0.987950i \(0.450536\pi\)
−0.664329 + 0.747440i \(0.731283\pi\)
\(410\) −16.5814 + 7.57246i −0.818896 + 0.373977i
\(411\) 1.94292 + 13.5133i 0.0958373 + 0.666563i
\(412\) 1.22768 + 0.788985i 0.0604837 + 0.0388705i
\(413\) −11.0622 10.3534i −0.544333 0.509455i
\(414\) 3.88110 2.34159i 0.190746 0.115083i
\(415\) 7.15725 0.351335
\(416\) 2.38382 3.70929i 0.116876 0.181863i
\(417\) 1.35579 + 9.42971i 0.0663932 + 0.461775i
\(418\) 0.365900 0.167101i 0.0178967 0.00817317i
\(419\) 12.8407 + 3.77037i 0.627308 + 0.184194i 0.579909 0.814682i \(-0.303088\pi\)
0.0474000 + 0.998876i \(0.484906\pi\)
\(420\) 4.21826 1.73435i 0.205830 0.0846277i
\(421\) −12.7382 11.0377i −0.620821 0.537945i 0.286662 0.958032i \(-0.407454\pi\)
−0.907484 + 0.420087i \(0.862000\pi\)
\(422\) 0.726719 5.05444i 0.0353761 0.246046i
\(423\) 1.34235 + 4.57163i 0.0652673 + 0.222280i
\(424\) 14.0770 12.1978i 0.683639 0.592377i
\(425\) −12.6344 + 8.11963i −0.612858 + 0.393860i
\(426\) 5.19009 + 8.07594i 0.251461 + 0.391281i
\(427\) 20.7736 + 0.796326i 1.00531 + 0.0385369i
\(428\) 4.19661 + 14.2923i 0.202851 + 0.690846i
\(429\) 0.865256 + 0.124405i 0.0417749 + 0.00600633i
\(430\) 13.4636 + 11.6663i 0.649273 + 0.562598i
\(431\) 14.0725 + 6.42668i 0.677847 + 0.309562i 0.724426 0.689352i \(-0.242105\pi\)
−0.0465795 + 0.998915i \(0.514832\pi\)
\(432\) −0.158288 + 0.539079i −0.00761562 + 0.0259364i
\(433\) −2.32761 5.09675i −0.111858 0.244934i 0.845421 0.534100i \(-0.179349\pi\)
−0.957279 + 0.289166i \(0.906622\pi\)
\(434\) 8.84823 12.6730i 0.424729 0.608324i
\(435\) 1.88524 2.93348i 0.0903901 0.140650i
\(436\) 8.96107i 0.429157i
\(437\) 1.83319 + 0.595181i 0.0876934 + 0.0284714i
\(438\) 14.3617 0.686231
\(439\) −9.11088 + 14.1768i −0.434839 + 0.676622i −0.987649 0.156685i \(-0.949919\pi\)
0.552810 + 0.833307i \(0.313556\pi\)
\(440\) 4.79423 0.689306i 0.228556 0.0328614i
\(441\) −6.16121 + 3.32257i −0.293391 + 0.158218i
\(442\) −1.28263 + 4.36825i −0.0610087 + 0.207776i
\(443\) −7.40727 + 16.2197i −0.351930 + 0.770619i 0.648030 + 0.761615i \(0.275593\pi\)
−0.999959 + 0.00900374i \(0.997134\pi\)
\(444\) 7.86962 9.08203i 0.373476 0.431014i
\(445\) −1.95911 + 13.6259i −0.0928708 + 0.645931i
\(446\) 5.26020 + 17.9146i 0.249078 + 0.848281i
\(447\) −12.0366 13.8910i −0.569313 0.657022i
\(448\) −2.94149 + 16.0631i −0.138972 + 0.758910i
\(449\) 0.197321 0.126811i 0.00931216 0.00598456i −0.535976 0.844233i \(-0.680056\pi\)
0.545289 + 0.838248i \(0.316420\pi\)
\(450\) 1.59297 + 1.83838i 0.0750932 + 0.0866622i
\(451\) −12.5810 + 3.69412i −0.592417 + 0.173949i
\(452\) −7.76928 1.11705i −0.365436 0.0525418i
\(453\) 4.90528 + 4.25045i 0.230470 + 0.199703i
\(454\) −1.93461 + 4.23620i −0.0907957 + 0.198815i
\(455\) −1.72822 2.93019i −0.0810200 0.137369i
\(456\) −1.07342 + 0.490214i −0.0502675 + 0.0229564i
\(457\) 12.0197 1.72818i 0.562260 0.0808408i 0.144676 0.989479i \(-0.453786\pi\)
0.417584 + 0.908638i \(0.362877\pi\)
\(458\) −16.6935 10.7283i −0.780037 0.501299i
\(459\) 5.83538i 0.272372i
\(460\) 6.82548 + 4.66488i 0.318240 + 0.217501i
\(461\) 38.0249i 1.77100i 0.464642 + 0.885499i \(0.346183\pi\)
−0.464642 + 0.885499i \(0.653817\pi\)
\(462\) −2.56758 + 0.648190i −0.119455 + 0.0301565i
\(463\) 3.10829 + 21.6186i 0.144455 + 1.00470i 0.925098 + 0.379727i \(0.123982\pi\)
−0.780644 + 0.624976i \(0.785109\pi\)
\(464\) 0.522489 + 1.14409i 0.0242559 + 0.0531131i
\(465\) 9.23783 + 2.71247i 0.428394 + 0.125788i
\(466\) 3.30902 7.24575i 0.153288 0.335653i
\(467\) −1.81684 + 2.09675i −0.0840733 + 0.0970258i −0.796228 0.604997i \(-0.793174\pi\)
0.712154 + 0.702023i \(0.247720\pi\)
\(468\) −0.904235 0.130009i −0.0417983 0.00600968i
\(469\) −3.42920 1.72776i −0.158346 0.0797808i
\(470\) 5.30126 4.59357i 0.244529 0.211885i
\(471\) 6.13576 + 9.54742i 0.282721 + 0.439922i
\(472\) 9.09095 + 14.1458i 0.418445 + 0.651113i
\(473\) 8.39174 + 9.68458i 0.385852 + 0.445297i
\(474\) 1.74536 0.512485i 0.0801673 0.0235392i
\(475\) −0.147202 + 1.02381i −0.00675409 + 0.0469757i
\(476\) 1.78201 + 16.9930i 0.0816782 + 0.778875i
\(477\) −5.77031 2.63521i −0.264204 0.120658i
\(478\) 1.68903 + 0.495943i 0.0772542 + 0.0226839i
\(479\) −15.6147 34.1915i −0.713456 1.56225i −0.822854 0.568253i \(-0.807620\pi\)
0.109398 0.993998i \(-0.465108\pi\)
\(480\) −8.23563 + 1.18410i −0.375903 + 0.0540467i
\(481\) −7.54050 4.84599i −0.343817 0.220958i
\(482\) 8.79762 0.400720
\(483\) −11.1653 6.02801i −0.508037 0.274284i
\(484\) −10.9325 −0.496933
\(485\) 6.57013 + 4.22236i 0.298334 + 0.191728i
\(486\) 0.935528 0.134509i 0.0424364 0.00610143i
\(487\) 7.65392 + 16.7598i 0.346832 + 0.759457i 0.999997 + 0.00224146i \(0.000713479\pi\)
−0.653165 + 0.757216i \(0.726559\pi\)
\(488\) −22.1372 6.50007i −1.00210 0.294244i
\(489\) −10.7381 4.90391i −0.485592 0.221763i
\(490\) 8.21759 + 6.21893i 0.371233 + 0.280943i
\(491\) −2.53481 + 17.6300i −0.114394 + 0.795631i 0.849163 + 0.528130i \(0.177107\pi\)
−0.963558 + 0.267500i \(0.913802\pi\)
\(492\) 13.1478 3.86054i 0.592748 0.174046i
\(493\) 8.55466 + 9.87261i 0.385283 + 0.444640i
\(494\) 0.169516 + 0.263772i 0.00762688 + 0.0118677i
\(495\) −0.891810 1.38768i −0.0400839 0.0623717i
\(496\) −2.62448 + 2.27413i −0.117843 + 0.102111i
\(497\) 12.0916 23.9989i 0.542382 1.07650i
\(498\) 4.29864 + 0.618051i 0.192627 + 0.0276955i
\(499\) 26.8542 30.9914i 1.20216 1.38737i 0.301145 0.953578i \(-0.402631\pi\)
0.901015 0.433788i \(-0.142823\pi\)
\(500\) −5.42363 + 11.8761i −0.242552 + 0.531115i
\(501\) −1.64997 0.484475i −0.0737152 0.0216447i
\(502\) 1.78894 + 3.91724i 0.0798444 + 0.174835i
\(503\) 2.28783 + 15.9122i 0.102009 + 0.709491i 0.975073 + 0.221885i \(0.0712208\pi\)
−0.873063 + 0.487607i \(0.837870\pi\)
\(504\) 7.53237 1.90156i 0.335518 0.0847021i
\(505\) 19.7399i 0.878415i
\(506\) −3.53720 3.24494i −0.157248 0.144255i
\(507\) 12.3186i 0.547089i
\(508\) −16.8203 10.8098i −0.746281 0.479606i
\(509\) 23.1757 3.33217i 1.02725 0.147696i 0.391967 0.919979i \(-0.371795\pi\)
0.635278 + 0.772283i \(0.280885\pi\)
\(510\) 7.81461 3.56881i 0.346037 0.158030i
\(511\) −20.4238 34.6285i −0.903496 1.53187i
\(512\) 2.61733 5.73115i 0.115671 0.253283i
\(513\) 0.303727 + 0.263181i 0.0134099 + 0.0116197i
\(514\) −3.56150 0.512066i −0.157091 0.0225863i
\(515\) −1.97081 + 0.578683i −0.0868445 + 0.0254998i
\(516\) −8.76978 10.1209i −0.386068 0.445546i
\(517\) 4.24470 2.72790i 0.186682 0.119973i
\(518\) 26.7094 + 4.89105i 1.17354 + 0.214900i
\(519\) 0.0332991 + 0.0384293i 0.00146167 + 0.00168686i
\(520\) 1.06366 + 3.62250i 0.0466447 + 0.158857i
\(521\) −0.844130 + 5.87105i −0.0369820 + 0.257216i −0.999922 0.0125007i \(-0.996021\pi\)
0.962940 + 0.269716i \(0.0869299\pi\)
\(522\) 1.38559 1.59905i 0.0606455 0.0699886i
\(523\) 17.4852 38.2872i 0.764573 1.67418i 0.0263233 0.999653i \(-0.491620\pi\)
0.738250 0.674528i \(-0.235653\pi\)
\(524\) 4.53811 15.4554i 0.198248 0.675171i
\(525\) 2.16728 6.45527i 0.0945880 0.281731i
\(526\) 7.64783 1.09959i 0.333461 0.0479445i
\(527\) −19.5000 + 30.3426i −0.849432 + 1.32174i
\(528\) 0.594979 0.0258931
\(529\) −1.97859 22.9147i −0.0860258 0.996293i
\(530\) 9.33911i 0.405665i
\(531\) 3.09607 4.81758i 0.134358 0.209065i
\(532\) 0.964844 + 0.673649i 0.0418313 + 0.0292064i
\(533\) −4.24582 9.29704i −0.183907 0.402700i
\(534\) −2.35328 + 8.01454i −0.101836 + 0.346823i
\(535\) −19.0709 8.70939i −0.824507 0.376540i
\(536\) 3.22065 + 2.79071i 0.139111 + 0.120540i
\(537\) 12.5618 + 1.80611i 0.542081 + 0.0779395i
\(538\) −4.00914 13.6539i −0.172846 0.588660i
\(539\) 5.21424 + 5.26906i 0.224593 + 0.226955i
\(540\) 0.931985 + 1.45020i 0.0401062 + 0.0624065i
\(541\) 10.3918 6.67843i 0.446780 0.287128i −0.297841 0.954615i \(-0.596267\pi\)
0.744621 + 0.667487i \(0.232630\pi\)
\(542\) −20.1615 + 17.4700i −0.866009 + 0.750401i
\(543\) −3.45402 11.7633i −0.148226 0.504812i
\(544\) 4.43596 30.8527i 0.190190 1.32280i
\(545\) 9.53196 + 8.25949i 0.408304 + 0.353798i
\(546\) −0.784934 1.90910i −0.0335921 0.0817021i
\(547\) −29.7768 8.74325i −1.27316 0.373834i −0.425785 0.904824i \(-0.640002\pi\)
−0.847378 + 0.530990i \(0.821820\pi\)
\(548\) −13.7435 + 6.27647i −0.587095 + 0.268117i
\(549\) 1.11823 + 7.77749i 0.0477251 + 0.331935i
\(550\) 1.39270 2.16709i 0.0593850 0.0924049i
\(551\) 0.899684 0.0383278
\(552\) 10.3769 + 9.51951i 0.441670 + 0.405177i
\(553\) −3.71777 3.47955i −0.158095 0.147966i
\(554\) 12.3002 + 7.90487i 0.522586 + 0.335846i
\(555\) 2.40713 + 16.7419i 0.102177 + 0.710656i
\(556\) −9.59037 + 4.37977i −0.406722 + 0.185744i
\(557\) 1.32302 4.50578i 0.0560580 0.190916i −0.926704 0.375793i \(-0.877370\pi\)
0.982762 + 0.184877i \(0.0591886\pi\)
\(558\) 5.31400 + 2.42682i 0.224960 + 0.102736i
\(559\) −6.54120 + 7.54894i −0.276663 + 0.319286i
\(560\) −1.44814 1.80668i −0.0611951 0.0763462i
\(561\) 5.92928 1.74099i 0.250335 0.0735049i
\(562\) 11.7573 10.1877i 0.495951 0.429744i
\(563\) −16.8589 + 10.8345i −0.710517 + 0.456621i −0.845326 0.534250i \(-0.820594\pi\)
0.134810 + 0.990872i \(0.456958\pi\)
\(564\) −4.43592 + 2.85079i −0.186786 + 0.120040i
\(565\) 8.34922 7.23464i 0.351254 0.304364i
\(566\) −10.5875 + 3.10877i −0.445026 + 0.130671i
\(567\) −1.65473 2.06443i −0.0694923 0.0866977i
\(568\) −19.5305 + 22.5394i −0.819482 + 0.945733i
\(569\) −32.2668 14.7357i −1.35269 0.617755i −0.398562 0.917141i \(-0.630491\pi\)
−0.954132 + 0.299387i \(0.903218\pi\)
\(570\) 0.166692 0.567700i 0.00698196 0.0237784i
\(571\) 7.45264 3.40351i 0.311883 0.142432i −0.253323 0.967382i \(-0.581524\pi\)
0.565207 + 0.824949i \(0.308796\pi\)
\(572\) 0.137678 + 0.957574i 0.00575662 + 0.0400382i
\(573\) −7.13797 4.58729i −0.298193 0.191637i
\(574\) 22.6058 + 21.1574i 0.943548 + 0.883092i
\(575\) 11.9368 3.14053i 0.497800 0.130969i
\(576\) −6.17224 −0.257176
\(577\) −12.1400 + 18.8901i −0.505393 + 0.786407i −0.996402 0.0847473i \(-0.972992\pi\)
0.491009 + 0.871154i \(0.336628\pi\)
\(578\) 2.29360 + 15.9523i 0.0954011 + 0.663529i
\(579\) 5.36905 2.45196i 0.223130 0.101900i
\(580\) 3.70277 + 1.08723i 0.153749 + 0.0451448i
\(581\) −4.62286 11.2436i −0.191789 0.466465i
\(582\) 3.58140 + 3.10330i 0.148454 + 0.128636i
\(583\) −0.956037 + 6.64938i −0.0395950 + 0.275389i
\(584\) 12.5702 + 42.8102i 0.520159 + 1.77150i
\(585\) 0.971732 0.842011i 0.0401762 0.0348129i
\(586\) 10.7518 6.90976i 0.444153 0.285440i
\(587\) 4.18832 + 6.51716i 0.172871 + 0.268992i 0.916868 0.399191i \(-0.130709\pi\)
−0.743997 + 0.668183i \(0.767072\pi\)
\(588\) −5.44914 5.50643i −0.224719 0.227081i
\(589\) 0.699839 + 2.38343i 0.0288364 + 0.0982077i
\(590\) −8.34509 1.19984i −0.343562 0.0493967i
\(591\) 0.789748 + 0.684320i 0.0324859 + 0.0281492i
\(592\) −5.54949 2.53437i −0.228083 0.104162i
\(593\) 10.0833 34.3406i 0.414072 1.41020i −0.443702 0.896174i \(-0.646335\pi\)
0.857774 0.514026i \(-0.171847\pi\)
\(594\) −0.415789 0.910452i −0.0170600 0.0373563i
\(595\) −19.7181 13.7671i −0.808364 0.564396i
\(596\) 10.9975 17.1124i 0.450474 0.700951i
\(597\) 22.0063i 0.900656i
\(598\) 2.11124 3.08908i 0.0863349 0.126322i
\(599\) −13.8023 −0.563948 −0.281974 0.959422i \(-0.590989\pi\)
−0.281974 + 0.959422i \(0.590989\pi\)
\(600\) −4.08569 + 6.35746i −0.166798 + 0.259542i
\(601\) −20.2026 + 2.90469i −0.824079 + 0.118485i −0.541438 0.840741i \(-0.682120\pi\)
−0.282642 + 0.959226i \(0.591211\pi\)
\(602\) 9.63095 28.6858i 0.392528 1.16915i
\(603\) 0.408888 1.39255i 0.0166512 0.0567088i
\(604\) −2.98398 + 6.53400i −0.121416 + 0.265865i
\(605\) 10.0766 11.6290i 0.409672 0.472787i
\(606\) −1.70460 + 11.8558i −0.0692448 + 0.481608i
\(607\) 2.30162 + 7.83861i 0.0934200 + 0.318159i 0.992924 0.118754i \(-0.0378899\pi\)
−0.899504 + 0.436913i \(0.856072\pi\)
\(608\) −1.40580 1.62237i −0.0570125 0.0657960i
\(609\) −5.82601 1.06687i −0.236082 0.0432316i
\(610\) 9.73154 6.25408i 0.394019 0.253220i
\(611\) 2.57558 + 2.97237i 0.104197 + 0.120249i
\(612\) −6.19639 + 1.81943i −0.250474 + 0.0735459i
\(613\) 8.07931 + 1.16163i 0.326320 + 0.0469178i 0.303528 0.952822i \(-0.401835\pi\)
0.0227921 + 0.999740i \(0.492744\pi\)
\(614\) 11.9676 + 10.3700i 0.482974 + 0.418499i
\(615\) −8.01193 + 17.5437i −0.323072 + 0.707429i
\(616\) −4.17945 7.08624i −0.168395 0.285513i
\(617\) 6.69526 3.05762i 0.269541 0.123095i −0.276060 0.961140i \(-0.589029\pi\)
0.545601 + 0.838045i \(0.316302\pi\)
\(618\) −1.23364 + 0.177371i −0.0496243 + 0.00713490i
\(619\) −9.08408 5.83799i −0.365120 0.234648i 0.345197 0.938530i \(-0.387812\pi\)
−0.710317 + 0.703882i \(0.751448\pi\)
\(620\) 10.6551i 0.427917i
\(621\) 1.48096 4.56144i 0.0594289 0.183044i
\(622\) 8.93544i 0.358278i
\(623\) 22.6710 5.72332i 0.908293 0.229300i
\(624\) 0.0660020 + 0.459054i 0.00264219 + 0.0183769i
\(625\) −2.28792 5.00985i −0.0915168 0.200394i
\(626\) −14.6593 4.30437i −0.585905 0.172037i
\(627\) 0.176799 0.387135i 0.00706065 0.0154607i
\(628\) −8.22501 + 9.49216i −0.328213 + 0.378778i
\(629\) −62.7196 9.01771i −2.50079 0.359560i
\(630\) −1.75263 + 3.47855i −0.0698263 + 0.138589i
\(631\) −5.78062 + 5.00893i −0.230123 + 0.199403i −0.762288 0.647238i \(-0.775924\pi\)
0.532165 + 0.846641i \(0.321379\pi\)
\(632\) 3.05529 + 4.75412i 0.121533 + 0.189109i
\(633\) −2.92096 4.54510i −0.116098 0.180651i
\(634\) −3.87805 4.47551i −0.154017 0.177745i
\(635\) 27.0018 7.92846i 1.07154 0.314631i
\(636\) 0.999106 6.94893i 0.0396171 0.275543i
\(637\) −3.48690 + 4.60754i −0.138156 + 0.182557i
\(638\) −2.03818 0.930803i −0.0806921 0.0368509i
\(639\) 9.74559 + 2.86156i 0.385530 + 0.113202i
\(640\) −3.13794 6.87114i −0.124038 0.271606i
\(641\) −7.65897 + 1.10119i −0.302511 + 0.0434946i −0.291899 0.956449i \(-0.594287\pi\)
−0.0106122 + 0.999944i \(0.503378\pi\)
\(642\) −10.7019 6.87768i −0.422370 0.271441i
\(643\) −20.4973 −0.808336 −0.404168 0.914685i \(-0.632439\pi\)
−0.404168 + 0.914685i \(0.632439\pi\)
\(644\) 2.91969 13.7355i 0.115052 0.541254i
\(645\) 18.8488 0.742171
\(646\) 1.86467 + 1.19835i 0.0733644 + 0.0471484i
\(647\) −10.9825 + 1.57904i −0.431765 + 0.0620784i −0.354771 0.934953i \(-0.615441\pi\)
−0.0769937 + 0.997032i \(0.524532\pi\)
\(648\) 1.21978 + 2.67094i 0.0479174 + 0.104924i
\(649\) −5.81882 1.70856i −0.228409 0.0670669i
\(650\) 1.82650 + 0.834136i 0.0716413 + 0.0327175i
\(651\) −1.70556 16.2641i −0.0668463 0.637440i
\(652\) 1.85925 12.9314i 0.0728140 0.506432i
\(653\) −3.94998 + 1.15982i −0.154575 + 0.0453873i −0.358104 0.933682i \(-0.616577\pi\)
0.203530 + 0.979069i \(0.434759\pi\)
\(654\) 5.01165 + 5.78376i 0.195971 + 0.226163i
\(655\) 12.2572 + 19.0726i 0.478928 + 0.745227i
\(656\) −3.76099 5.85221i −0.146842 0.228490i
\(657\) 11.4838 9.95076i 0.448025 0.388216i
\(658\) −10.6403 5.36100i −0.414803 0.208994i
\(659\) −43.3481 6.23251i −1.68860 0.242784i −0.770021 0.638019i \(-0.779754\pi\)
−0.918580 + 0.395235i \(0.870663\pi\)
\(660\) 1.19547 1.37965i 0.0465338 0.0537028i
\(661\) −5.83023 + 12.7664i −0.226770 + 0.496556i −0.988478 0.151364i \(-0.951634\pi\)
0.761709 + 0.647920i \(0.224361\pi\)
\(662\) −14.8474 4.35960i −0.577062 0.169441i
\(663\) 2.00100 + 4.38159i 0.0777126 + 0.170167i
\(664\) 1.92009 + 13.3546i 0.0745141 + 0.518257i
\(665\) −1.60587 + 0.405404i −0.0622730 + 0.0157209i
\(666\) 10.2631i 0.397686i
\(667\) −4.18150 9.88838i −0.161908 0.382879i
\(668\) 1.90310i 0.0736332i
\(669\) 16.6185 + 10.6801i 0.642509 + 0.412916i
\(670\) −2.11493 + 0.304081i −0.0817070 + 0.0117477i
\(671\) 7.56902 3.45665i 0.292199 0.133443i
\(672\) 7.17955 + 12.1729i 0.276957 + 0.469580i
\(673\) 14.1249 30.9292i 0.544475 1.19223i −0.414839 0.909895i \(-0.636162\pi\)
0.959314 0.282340i \(-0.0911106\pi\)
\(674\) 11.6251 + 10.0732i 0.447782 + 0.388005i
\(675\) 2.54750 + 0.366276i 0.0980535 + 0.0140980i
\(676\) 13.0807 3.84084i 0.503104 0.147725i
\(677\) 21.4608 + 24.7670i 0.824804 + 0.951875i 0.999463 0.0327540i \(-0.0104278\pi\)
−0.174659 + 0.984629i \(0.555882\pi\)
\(678\) 5.63927 3.62414i 0.216575 0.139184i
\(679\) 2.38946 13.0485i 0.0916991 0.500757i
\(680\) 17.4779 + 20.1706i 0.670246 + 0.773506i
\(681\) 1.38819 + 4.72773i 0.0531954 + 0.181167i
\(682\) 0.880435 6.12356i 0.0337136 0.234483i
\(683\) 14.5853 16.8324i 0.558092 0.644072i −0.404658 0.914468i \(-0.632609\pi\)
0.962749 + 0.270396i \(0.0871547\pi\)
\(684\) −0.184763 + 0.404575i −0.00706460 + 0.0154693i
\(685\) 5.99121 20.4042i 0.228912 0.779603i
\(686\) 4.46186 16.9262i 0.170355 0.646244i
\(687\) −20.7815 + 2.98793i −0.792865 + 0.113997i
\(688\) −3.67562 + 5.71938i −0.140132 + 0.218049i
\(689\) −5.23636 −0.199490
\(690\) −7.01430 + 0.806424i −0.267030 + 0.0307000i
\(691\) 5.63236i 0.214265i 0.994245 + 0.107132i \(0.0341669\pi\)
−0.994245 + 0.107132i \(0.965833\pi\)
\(692\) −0.0304243 + 0.0473412i −0.00115656 + 0.00179964i
\(693\) −1.60395 + 2.29729i −0.0609292 + 0.0872667i
\(694\) −11.2247 24.5787i −0.426085 0.932996i
\(695\) 4.18072 14.2382i 0.158584 0.540086i
\(696\) 5.97928 + 2.73065i 0.226644 + 0.103505i
\(697\) −54.6047 47.3152i −2.06830 1.79219i
\(698\) −13.8239 1.98758i −0.523243 0.0752310i
\(699\) −2.37441 8.08648i −0.0898083 0.305859i
\(700\) 7.53037 + 0.288665i 0.284621 + 0.0109105i
\(701\) −5.36738 8.35180i −0.202723 0.315443i 0.724975 0.688776i \(-0.241851\pi\)
−0.927698 + 0.373332i \(0.878215\pi\)
\(702\) 0.656332 0.421799i 0.0247716 0.0159198i
\(703\) −3.29807 + 2.85780i −0.124389 + 0.107784i
\(704\) 1.84150 + 6.27156i 0.0694040 + 0.236368i
\(705\) 1.05621 7.34612i 0.0397793 0.276671i
\(706\) −0.264913 0.229548i −0.00997013 0.00863917i
\(707\) 31.0103 12.7500i 1.16626 0.479513i
\(708\) 6.08095 + 1.78553i 0.228536 + 0.0671043i
\(709\) −23.8029 + 10.8704i −0.893938 + 0.408248i −0.808774 0.588119i \(-0.799869\pi\)
−0.0851639 + 0.996367i \(0.527141\pi\)
\(710\) −2.12808 14.8011i −0.0798655 0.555477i
\(711\) 1.04053 1.61909i 0.0390228 0.0607207i
\(712\) −25.9499 −0.972513
\(713\) 22.9435 18.7695i 0.859241 0.702922i
\(714\) −10.6539 9.97122i −0.398710 0.373164i
\(715\) −1.14548 0.736154i −0.0428384 0.0275306i
\(716\) 1.99882 + 13.9021i 0.0746993 + 0.519545i
\(717\) 1.69418 0.773707i 0.0632704 0.0288946i
\(718\) −2.97639 + 10.1366i −0.111078 + 0.378296i
\(719\) 13.1777 + 6.01803i 0.491443 + 0.224435i 0.645693 0.763597i \(-0.276569\pi\)
−0.154249 + 0.988032i \(0.549296\pi\)
\(720\) 0.573101 0.661394i 0.0213582 0.0246487i
\(721\) 2.18203 + 2.72227i 0.0812629 + 0.101383i
\(722\) −17.0839 + 5.01629i −0.635798 + 0.186687i
\(723\) 7.03466 6.09557i 0.261622 0.226697i
\(724\) 11.4141 7.33540i 0.424202 0.272618i
\(725\) 4.84696 3.11495i 0.180012 0.115686i
\(726\) 7.05620 6.11423i 0.261880 0.226920i
\(727\) 14.2623 4.18779i 0.528960 0.155317i −0.00633825 0.999980i \(-0.502018\pi\)
0.535298 + 0.844663i \(0.320199\pi\)
\(728\) 5.00373 4.01073i 0.185451 0.148648i
\(729\) 0.654861 0.755750i 0.0242541 0.0279907i
\(730\) −20.3491 9.29312i −0.753154 0.343954i
\(731\) −19.8938 + 67.7521i −0.735799 + 2.50590i
\(732\) −7.90999 + 3.61237i −0.292362 + 0.133517i
\(733\) 0.472756 + 3.28809i 0.0174617 + 0.121448i 0.996688 0.0813225i \(-0.0259144\pi\)
−0.979226 + 0.202771i \(0.935005\pi\)
\(734\) −17.9473 11.5341i −0.662449 0.425730i
\(735\) 10.8797 0.720968i 0.401305 0.0265933i
\(736\) −11.2976 + 22.9914i −0.416437 + 0.847474i
\(737\) −1.53695 −0.0566141
\(738\) −6.32691 + 9.84486i −0.232897 + 0.362394i
\(739\) −1.08578 7.55180i −0.0399412 0.277797i 0.960057 0.279805i \(-0.0902699\pi\)
−0.999998 + 0.00200802i \(0.999361\pi\)
\(740\) −17.0272 + 7.77605i −0.625932 + 0.285853i
\(741\) 0.318305 + 0.0934628i 0.0116932 + 0.00343344i
\(742\) 14.6712 6.03212i 0.538598 0.221446i
\(743\) −12.0410 10.4336i −0.441742 0.382771i 0.405399 0.914140i \(-0.367133\pi\)
−0.847141 + 0.531368i \(0.821678\pi\)
\(744\) −2.58288 + 17.9643i −0.0946931 + 0.658605i
\(745\) 8.06613 + 27.4707i 0.295520 + 1.00645i
\(746\) −11.0570 + 9.58097i −0.404827 + 0.350784i
\(747\) 3.86546 2.48418i 0.141430 0.0908913i
\(748\) 3.69741 + 5.75328i 0.135191 + 0.210361i
\(749\) −1.36409 + 35.5847i −0.0498426 + 1.30024i
\(750\) −3.14136 10.6985i −0.114706 0.390653i
\(751\) 5.83277 + 0.838625i 0.212841 + 0.0306019i 0.247910 0.968783i \(-0.420256\pi\)
−0.0350695 + 0.999385i \(0.511165\pi\)
\(752\) 2.02310 + 1.75303i 0.0737749 + 0.0639263i
\(753\) 4.14457 + 1.89276i 0.151037 + 0.0689761i
\(754\) 0.492060 1.67580i 0.0179198 0.0610291i
\(755\) −4.19991 9.19652i −0.152850 0.334696i
\(756\) 1.67621 2.40078i 0.0609632 0.0873154i
\(757\) −4.03001 + 6.27082i −0.146473 + 0.227917i −0.906736 0.421699i \(-0.861434\pi\)
0.760263 + 0.649616i \(0.225070\pi\)
\(758\) 30.7386i 1.11648i
\(759\) −5.07669 0.143880i −0.184272 0.00522251i
\(760\) 1.83813 0.0666760
\(761\) 20.8232 32.4015i 0.754840 1.17455i −0.224920 0.974377i \(-0.572212\pi\)
0.979760 0.200177i \(-0.0641516\pi\)
\(762\) 16.9019 2.43013i 0.612292 0.0880343i
\(763\) 6.81851 20.3090i 0.246847 0.735234i
\(764\) 2.64553 9.00984i 0.0957119 0.325965i
\(765\) 3.77593 8.26813i 0.136519 0.298935i
\(766\) −17.5463 + 20.2495i −0.633974 + 0.731645i
\(767\) 0.672742 4.67903i 0.0242913 0.168950i
\(768\) −4.76914 16.2422i −0.172092 0.586090i
\(769\) −29.0494 33.5248i −1.04755 1.20893i −0.977400 0.211397i \(-0.932199\pi\)
−0.0701469 0.997537i \(-0.522347\pi\)
\(770\) 4.05742 + 0.742999i 0.146219 + 0.0267758i
\(771\) −3.20260 + 2.05819i −0.115339 + 0.0741238i
\(772\) 4.27769 + 4.93671i 0.153957 + 0.177676i
\(773\)