Properties

Label 483.2.r.a.34.13
Level $483$
Weight $2$
Character 483.34
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 34.13
Character \(\chi\) \(=\) 483.34
Dual form 483.2.r.a.412.13

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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 −0.790676 0.612234i \(-0.790271\pi\)
0.228449 + 0.973556i \(0.426635\pi\)
\(3\) −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 0.0701032 0.997540i \(-0.477667\pi\)
0.598285 + 0.801283i \(0.295849\pi\)
\(6\) 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 −0.916776 0.399402i \(-0.869218\pi\)
0.744151 + 0.668011i \(0.232854\pi\)
\(12\) 0.598324 0.931011i 0.172721 0.268760i
\(13\) 0.623842 + 0.540562i 0.173023 + 0.149925i 0.737067 0.675819i \(-0.236210\pi\)
−0.564045 + 0.825744i \(0.690755\pi\)
\(14\) −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 0.936684 + 0.350176i \(0.113878\pi\)
−0.348752 + 0.937215i \(0.613394\pi\)
\(18\) −0.906863 + 0.266279i −0.213750 + 0.0627626i
\(19\) −0.166950 + 0.365570i −0.0383011 + 0.0838676i −0.927815 0.373040i \(-0.878316\pi\)
0.889514 + 0.456907i \(0.151043\pi\)
\(20\) −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 0.803421 0.595412i \(-0.203011\pi\)
−0.976111 + 0.217273i \(0.930284\pi\)
\(30\) 1.11263 0.964098i 0.203137 0.176019i
\(31\) −6.11805 + 0.879642i −1.09883 + 0.157988i −0.667795 0.744345i \(-0.732762\pi\)
−0.431038 + 0.902334i \(0.641853\pi\)
\(32\) 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 0.181161 + 0.983454i \(0.442015\pi\)
−0.684097 + 0.729391i \(0.739804\pi\)
\(38\) −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 0.517382 + 0.855754i \(0.326906\pi\)
0.0274059 + 0.999624i \(0.491275\pi\)
\(42\) 0.795898 + 2.37059i 0.122810 + 0.365789i
\(43\) −11.9776 1.72211i −1.82656 0.262620i −0.858406 0.512970i \(-0.828545\pi\)
−0.968155 + 0.250350i \(0.919454\pi\)
\(44\) −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 \(-0.887032\pi\)
0.937681 0.347496i \(-0.112968\pi\)
\(48\) −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 −0.918705 0.394944i \(-0.870764\pi\)
0.260179 + 0.965561i \(0.416219\pi\)
\(54\) 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 0.889384 0.457161i \(-0.151134\pi\)
−0.325936 + 0.945392i \(0.605679\pi\)
\(60\) 0.485665 1.65402i 0.0626991 0.213534i
\(61\) −1.11823 7.77749i −0.143175 0.995805i −0.927064 0.374904i \(-0.877676\pi\)
0.783888 0.620902i \(-0.213233\pi\)
\(62\) 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 0.885871 0.463931i \(-0.153562\pi\)
−0.790011 + 0.613093i \(0.789925\pi\)
\(68\) −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 0.0756198 0.997137i \(-0.475906\pi\)
0.938441 + 0.345439i \(0.112270\pi\)
\(72\) 0.417877 2.90640i 0.0492473 0.342523i
\(73\) 13.8221 + 6.31233i 1.61775 + 0.738802i 0.998908 0.0467134i \(-0.0148748\pi\)
0.618842 + 0.785515i \(0.287602\pi\)
\(74\) −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 0.732835 0.680406i \(-0.238197\pi\)
−0.569188 + 0.822208i \(0.692742\pi\)
\(80\) 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 0.514589 0.857437i \(-0.327945\pi\)
−0.0306656 + 0.999530i \(0.509763\pi\)
\(84\) 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 −0.807867 0.589365i \(-0.799378\pi\)
0.941186 0.337889i \(-0.109713\pi\)
\(90\) −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 −0.0282218 0.999602i \(-0.508984\pi\)
0.516684 + 0.856176i \(0.327166\pi\)
\(98\) 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 −0.567119 0.823636i \(-0.691942\pi\)
0.922382 0.386278i \(-0.126240\pi\)
\(102\) 4.16819 + 3.61175i 0.412712 + 0.357617i
\(103\) −1.10932 0.712920i −0.109305 0.0702461i 0.484846 0.874599i \(-0.338876\pi\)
−0.594151 + 0.804353i \(0.702512\pi\)
\(104\) 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 −0.752051 0.659104i \(-0.770935\pi\)
−0.535897 + 0.844283i \(0.680026\pi\)
\(108\) 0.836384 0.724731i 0.0804811 0.0697373i
\(109\) 7.36542 3.36368i 0.705480 0.322182i −0.0301692 0.999545i \(-0.509605\pi\)
0.735649 + 0.677363i \(0.236877\pi\)
\(110\) −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 0.973420 0.229027i \(-0.0735545\pi\)
−0.612704 + 0.790313i \(0.709918\pi\)
\(114\) 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 0.997575 0.0696058i \(-0.0221741\pi\)
0.351092 + 0.936341i \(0.385811\pi\)
\(128\) −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 −0.0249060 0.999690i \(-0.507929\pi\)
0.985970 + 0.166923i \(0.0533832\pi\)
\(132\) 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 \(0.198198\pi\)
−0.812331 + 0.583196i \(0.801802\pi\)
\(138\) −4.17484 1.76542i −0.355386 0.150282i
\(139\) 9.52668i 0.808043i 0.914750 + 0.404021i \(0.132388\pi\)
−0.914750 + 0.404021i \(0.867612\pi\)
\(140\) −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 −0.146622 0.989193i \(-0.546840\pi\)
0.960710 0.277554i \(-0.0895236\pi\)
\(150\) −1.31512 + 2.04637i −0.107379 + 0.167086i
\(151\) −4.25045 + 4.90528i −0.345897 + 0.399186i −0.901865 0.432017i \(-0.857802\pi\)
0.555969 + 0.831203i \(0.312347\pi\)
\(152\) 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 0.622872 + 0.782324i \(0.285966\pi\)
−0.999135 + 0.0415777i \(0.986762\pi\)
\(158\) −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 −0.0904723 0.995899i \(-0.528838\pi\)
0.868318 + 0.496008i \(0.165201\pi\)
\(164\) −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 −0.353973 0.935256i \(-0.615169\pi\)
0.475016 + 0.879977i \(0.342442\pi\)
\(168\) −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 −0.842297 0.539014i \(-0.818797\pi\)
0.840207 + 0.542266i \(0.182433\pi\)
\(174\) −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 −0.703101 0.711090i \(-0.748202\pi\)
−0.207042 + 0.978332i \(0.566384\pi\)
\(180\) −0.716114 + 1.56807i −0.0533760 + 0.116877i
\(181\) 1.74477 12.1351i 0.129688 0.901997i −0.816262 0.577682i \(-0.803957\pi\)
0.945949 0.324314i \(-0.105134\pi\)
\(182\) 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 −0.391248 0.920285i \(-0.627956\pi\)
0.855238 + 0.518236i \(0.173411\pi\)
\(192\) 6.10941 0.878401i 0.440909 0.0633931i
\(193\) −5.66336 1.66291i −0.407657 0.119699i 0.0714735 0.997442i \(-0.477230\pi\)
−0.479131 + 0.877744i \(0.659048\pi\)
\(194\) −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 −0.779604 0.626273i \(-0.784579\pi\)
0.730848 + 0.682540i \(0.239125\pi\)
\(198\) 0.281986 0.960357i 0.0200399 0.0682496i
\(199\) 3.13182 + 21.7823i 0.222009 + 1.54410i 0.730426 + 0.682992i \(0.239322\pi\)
−0.508417 + 0.861111i \(0.669769\pi\)
\(200\) 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 −0.816509 0.577333i \(-0.804093\pi\)
0.971019 + 0.239003i \(0.0768206\pi\)
\(212\) −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 −0.991025 0.133675i \(-0.957322\pi\)
−0.00872368 + 0.999962i \(0.502777\pi\)
\(224\) −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 0.953227 + 0.302254i \(0.0977390\pi\)
−0.999770 + 0.0214552i \(0.993170\pi\)
\(228\) 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 −0.912068 0.410038i \(-0.865515\pi\)
0.990644 0.136470i \(-0.0435756\pi\)
\(234\) −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 0.223424 0.974721i \(-0.428277\pi\)
−0.339018 + 0.940780i \(0.610095\pi\)
\(240\) −0.661394 0.573101i −0.0426928 0.0369935i
\(241\) −7.83054 5.03239i −0.504410 0.324164i 0.263568 0.964641i \(-0.415101\pi\)
−0.767978 + 0.640476i \(0.778737\pi\)
\(242\) −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 −0.655991 0.754769i \(-0.727749\pi\)
0.414053 + 0.910253i \(0.364113\pi\)
\(252\) −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 0.520482 0.853873i \(-0.325752\pi\)
−0.304471 + 0.952522i \(0.598480\pi\)
\(258\) −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 0.443238 0.896404i \(-0.353829\pi\)
−0.824200 + 0.566299i \(0.808375\pi\)
\(264\) −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 −0.234919 0.972015i \(-0.575482\pi\)
0.928689 + 0.370860i \(0.120937\pi\)
\(270\) 1.33918 0.611581i 0.0814997 0.0372197i
\(271\) 7.95208 + 27.0823i 0.483055 + 1.64513i 0.735502 + 0.677523i \(0.236946\pi\)
−0.252447 + 0.967611i \(0.581235\pi\)
\(272\) −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 −0.974213 0.225632i \(-0.927555\pi\)
0.697574 0.716513i \(-0.254263\pi\)
\(282\) −1.87073 4.09633i −0.111400 0.243933i
\(283\) 7.64541 + 8.82328i 0.454473 + 0.524489i 0.936028 0.351926i \(-0.114473\pi\)
−0.481555 + 0.876416i \(0.659928\pi\)
\(284\) 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 0.671578 0.740934i \(-0.265617\pi\)
−0.999751 + 0.0223360i \(0.992890\pi\)
\(294\) −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 −0.598242 0.801316i \(-0.704134\pi\)
−0.348252 + 0.937401i \(0.613225\pi\)
\(308\) 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 −0.665554 0.746350i \(-0.731805\pi\)
0.955385 + 0.295364i \(0.0954410\pi\)
\(312\) −1.58724 + 1.83178i −0.0898601 + 0.103704i
\(313\) 15.5101 + 4.55417i 0.876682 + 0.257417i 0.688955 0.724804i \(-0.258070\pi\)
0.187727 + 0.982221i \(0.439888\pi\)
\(314\) −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 −0.108508 0.994096i \(-0.534607\pi\)
0.446166 + 0.894950i \(0.352789\pi\)
\(318\) −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 0.683327 0.730112i \(-0.260532\pi\)
0.180123 + 0.983644i \(0.442350\pi\)
\(332\) −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 −0.566332 0.824177i \(-0.691638\pi\)
−0.311195 + 0.950346i \(0.600729\pi\)
\(338\) 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 0.298876 0.954292i \(-0.403388\pi\)
0.992212 + 0.124560i \(0.0397520\pi\)
\(348\) −2.45228 0.352584i −0.131456 0.0189005i
\(349\) 13.4413 + 6.13842i 0.719495 + 0.328582i 0.741294 0.671180i \(-0.234212\pi\)
−0.0217995 + 0.999762i \(0.506940\pi\)
\(350\) 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 −0.132539 0.991178i \(-0.542313\pi\)
0.152077 + 0.988369i \(0.451404\pi\)
\(354\) 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 0.833700 + 0.552217i \(0.186218\pi\)
−0.999904 + 0.0138224i \(0.995600\pi\)
\(360\) −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 0.991979 + 0.126400i \(0.0403422\pi\)
−0.766169 + 0.642639i \(0.777840\pi\)
\(374\) 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 −0.0109469 0.999940i \(-0.503485\pi\)
0.914125 0.405432i \(-0.132879\pi\)
\(380\) −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 0.785562 + 0.618783i \(0.212374\pi\)
−0.579410 + 0.815036i \(0.696717\pi\)
\(384\) 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 0.905527 + 0.424288i \(0.139476\pi\)
0.00977633 + 0.999952i \(0.496888\pi\)
\(390\) 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 −0.619115 0.785300i \(-0.712509\pi\)
0.188056 + 0.982158i \(0.439781\pi\)
\(398\) −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 0.395302 0.918551i \(-0.370640\pi\)
−0.852944 + 0.522002i \(0.825185\pi\)
\(402\) 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 −0.664329 0.747440i \(-0.731283\pi\)
0.154772 0.987950i \(-0.450536\pi\)
\(410\) −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 0.0474000 0.998876i \(-0.484906\pi\)
0.579909 + 0.814682i \(0.303088\pi\)
\(420\) 4.21826 + 1.73435i 0.205830 + 0.0846277i
\(421\) −12.7382 + 11.0377i −0.620821 + 0.537945i −0.907484 0.420087i \(-0.862000\pi\)
0.286662 + 0.958032i \(0.407454\pi\)
\(422\) 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 −0.0465795 0.998915i \(-0.514832\pi\)
0.724426 + 0.689352i \(0.242105\pi\)
\(432\) −0.158288 0.539079i −0.00761562 0.0259364i
\(433\) −2.32761 + 5.09675i −0.111858 + 0.244934i −0.957279 0.289166i \(-0.906622\pi\)
0.845421 + 0.534100i \(0.179349\pi\)
\(434\) 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 0.552810 0.833307i \(-0.313556\pi\)
−0.987649 + 0.156685i \(0.949919\pi\)
\(440\) 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 −0.999959 0.00900374i \(-0.997134\pi\)
0.648030 0.761615i \(-0.275593\pi\)
\(444\) 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 0.545289 0.838248i \(-0.316420\pi\)
−0.535976 + 0.844233i \(0.680056\pi\)
\(450\) 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 0.417584 0.908638i \(-0.362877\pi\)
0.144676 + 0.989479i \(0.453786\pi\)
\(458\) −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 \(-0.653817\pi\)
0.464642 0.885499i \(-0.346183\pi\)
\(462\) −2.56758 0.648190i −0.119455 0.0301565i
\(463\) 3.10829 21.6186i 0.144455 1.00470i −0.780644 0.624976i \(-0.785109\pi\)
0.925098 0.379727i \(-0.123982\pi\)
\(464\) 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 0.712154 0.702023i \(-0.247720\pi\)
−0.796228 + 0.604997i \(0.793174\pi\)
\(468\) −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 0.109398 + 0.993998i \(0.465108\pi\)
−0.822854 + 0.568253i \(0.807620\pi\)
\(480\) −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 −0.653165 0.757216i \(-0.726559\pi\)
0.999997 0.00224146i \(-0.000713479\pi\)
\(488\) −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 −0.963558 0.267500i \(-0.913802\pi\)
0.849163 0.528130i \(-0.177107\pi\)
\(492\) 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 0.901015 + 0.433788i \(0.142823\pi\)
0.301145 + 0.953578i \(0.402631\pi\)
\(500\) −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 −0.873063 0.487607i \(-0.837870\pi\)
0.975073 0.221885i \(-0.0712208\pi\)
\(504\) 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 0.635278 0.772283i \(-0.280885\pi\)
0.391967 + 0.919979i \(0.371795\pi\)
\(510\) 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 0.962940 0.269716i \(-0.0869299\pi\)
−0.999922 + 0.0125007i \(0.996021\pi\)
\(522\) 1.38559 + 1.59905i 0.0606455 + 0.0699886i
\(523\) 17.4852 + 38.2872i 0.764573 + 1.67418i 0.738250 + 0.674528i \(0.235653\pi\)
0.0263233 + 0.999653i \(0.491620\pi\)
\(524\) 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 0.744621 0.667487i \(-0.232630\pi\)
−0.297841 + 0.954615i \(0.596267\pi\)
\(542\) −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 −0.847378 0.530990i \(-0.821820\pi\)
−0.425785 + 0.904824i \(0.640002\pi\)
\(548\) −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 0.982762 0.184877i \(-0.0591886\pi\)
−0.926704 + 0.375793i \(0.877370\pi\)
\(558\) 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 0.134810 0.990872i \(-0.456958\pi\)
−0.845326 + 0.534250i \(0.820594\pi\)
\(564\) −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 −0.954132 0.299387i \(-0.903218\pi\)
−0.398562 + 0.917141i \(0.630491\pi\)
\(570\) 0.166692 + 0.567700i 0.00698196 + 0.0237784i
\(571\) 7.45264 + 3.40351i 0.311883 + 0.142432i 0.565207 0.824949i \(-0.308796\pi\)
−0.253323 + 0.967382i \(0.581524\pi\)
\(572\) 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 0.491009 0.871154i \(-0.336628\pi\)
−0.996402 + 0.0847473i \(0.972992\pi\)
\(578\) 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 −0.743997 0.668183i \(-0.767072\pi\)
0.916868 + 0.399191i \(0.130709\pi\)
\(588\) −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 0.857774 + 0.514026i \(0.171847\pi\)
−0.443702 + 0.896174i \(0.646335\pi\)
\(594\) −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 −0.282642 0.959226i \(-0.591211\pi\)
−0.541438 + 0.840741i \(0.682120\pi\)
\(602\) 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 −0.899504 0.436913i \(-0.856072\pi\)
0.992924 + 0.118754i \(0.0378899\pi\)
\(608\) −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 0.0227921 0.999740i \(-0.492744\pi\)
0.303528 + 0.952822i \(0.401835\pi\)
\(614\) 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 0.545601 0.838045i \(-0.316302\pi\)
−0.276060 + 0.961140i \(0.589029\pi\)
\(618\) −1.23364 0.177371i −0.0496243 0.00713490i
\(619\) −9.08408 + 5.83799i −0.365120 + 0.234648i −0.710317 0.703882i \(-0.751448\pi\)
0.345197 + 0.938530i \(0.387812\pi\)
\(620\) 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 0.532165 0.846641i \(-0.321379\pi\)
−0.762288 + 0.647238i \(0.775924\pi\)
\(632\) 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 −0.0106122 0.999944i \(-0.503378\pi\)
−0.291899 + 0.956449i \(0.594287\pi\)
\(642\) −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 −0.0769937 0.997032i \(-0.524532\pi\)
−0.354771 + 0.934953i \(0.615441\pi\)
\(648\) 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 0.203530 0.979069i \(-0.434759\pi\)
−0.358104 + 0.933682i \(0.616577\pi\)
\(654\) 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 −0.918580 0.395235i \(-0.870663\pi\)
−0.770021 + 0.638019i \(0.779754\pi\)
\(660\) 1.19547 + 1.37965i 0.0465338 + 0.0537028i
\(661\) −5.83023 12.7664i −0.226770 0.496556i 0.761709 0.647920i \(-0.224361\pi\)
−0.988478 + 0.151364i \(0.951634\pi\)
\(662\) −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 0.959314 + 0.282340i \(0.0911106\pi\)
−0.414839 + 0.909895i \(0.636162\pi\)
\(674\) 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 −0.174659 0.984629i \(-0.555882\pi\)
0.999463 + 0.0327540i \(0.0104278\pi\)
\(678\) 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 0.962749 0.270396i \(-0.0871547\pi\)
−0.404658 + 0.914468i \(0.632609\pi\)
\(684\) −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 \(-0.965833\pi\)
0.994245 0.107132i \(-0.0341669\pi\)
\(692\) −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 −0.927698 0.373332i \(-0.878215\pi\)
0.724975 + 0.688776i \(0.241851\pi\)
\(702\) 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 −0.0851639 0.996367i \(-0.527141\pi\)
−0.808774 + 0.588119i \(0.799869\pi\)
\(710\) −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 −0.154249 0.988032i \(-0.549296\pi\)
0.645693 + 0.763597i \(0.276569\pi\)
\(720\) 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 0.535298 0.844663i \(-0.320199\pi\)
−0.00633825 + 0.999980i \(0.502018\pi\)
\(728\) 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 −0.979226 0.202771i \(-0.935005\pi\)
0.996688 + 0.0813225i \(0.0259144\pi\)
\(734\) −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 −0.999998 0.00200802i \(-0.999361\pi\)
0.960057 + 0.279805i \(0.0902699\pi\)
\(740\) −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 −0.847141 0.531368i \(-0.821678\pi\)
0.405399 + 0.914140i \(0.367133\pi\)
\(744\) −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 −0.0350695 0.999385i \(-0.511165\pi\)
0.247910 + 0.968783i \(0.420256\pi\)
\(752\) 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 0.760263 0.649616i \(-0.225070\pi\)
−0.906736 + 0.421699i \(0.861434\pi\)
\(758\) 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 0.979760 + 0.200177i \(0.0641516\pi\)
−0.224920 + 0.974377i \(0.572212\pi\)
\(762\) 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 −0.0701469 + 0.997537i \(0.522347\pi\)
−0.977400 + 0.211397i \(0.932199\pi\)
\(770\) 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
\(773\) 17.2700 + 5.07092i