Properties

Label 403.2.bl.b.16.10
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.10
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40769 - 0.626744i) q^{2} +(0.286757 - 2.72831i) q^{3} +(0.250522 + 0.278233i) q^{4} -3.15693 q^{5} +(-2.11362 + 3.66089i) q^{6} +(2.27878 + 2.53085i) q^{7} +(0.774057 + 2.38230i) q^{8} +(-4.42699 - 0.940986i) q^{9} +O(q^{10})\) \(q+(-1.40769 - 0.626744i) q^{2} +(0.286757 - 2.72831i) q^{3} +(0.250522 + 0.278233i) q^{4} -3.15693 q^{5} +(-2.11362 + 3.66089i) q^{6} +(2.27878 + 2.53085i) q^{7} +(0.774057 + 2.38230i) q^{8} +(-4.42699 - 0.940986i) q^{9} +(4.44398 + 1.97859i) q^{10} +(-1.30702 + 0.277816i) q^{11} +(0.830944 - 0.603716i) q^{12} +(1.20609 + 3.39784i) q^{13} +(-1.62163 - 4.99086i) q^{14} +(-0.905271 + 8.61308i) q^{15} +(0.481732 - 4.58338i) q^{16} +(-6.68724 - 1.42142i) q^{17} +(5.64207 + 4.09921i) q^{18} +(0.594475 + 5.65605i) q^{19} +(-0.790881 - 0.878362i) q^{20} +(7.55838 - 5.49149i) q^{21} +(2.01400 + 0.428089i) q^{22} +(-0.381180 + 0.423344i) q^{23} +(6.72162 - 1.42872i) q^{24} +4.96621 q^{25} +(0.431771 - 5.53902i) q^{26} +(-1.29356 + 3.98116i) q^{27} +(-0.133279 + 1.26807i) q^{28} +(3.89979 + 1.73630i) q^{29} +(6.67253 - 11.5572i) q^{30} +(-5.55540 - 0.370853i) q^{31} +(-1.04583 + 1.81143i) q^{32} +(0.383170 + 3.64562i) q^{33} +(8.52270 + 6.19210i) q^{34} +(-7.19396 - 7.98970i) q^{35} +(-0.847246 - 1.46747i) q^{36} +(-5.67107 - 9.82259i) q^{37} +(2.70806 - 8.33455i) q^{38} +(9.61622 - 2.31624i) q^{39} +(-2.44364 - 7.52077i) q^{40} +(4.33290 + 1.92913i) q^{41} +(-14.0816 + 2.99314i) q^{42} +(0.690883 + 6.57331i) q^{43} +(-0.404735 - 0.294057i) q^{44} +(13.9757 + 2.97063i) q^{45} +(0.801912 - 0.357034i) q^{46} +(2.58727 + 1.87976i) q^{47} +(-12.3667 - 2.62863i) q^{48} +(-0.480625 + 4.57284i) q^{49} +(-6.99088 - 3.11254i) q^{50} +(-5.79567 + 17.8373i) q^{51} +(-0.643239 + 1.18681i) q^{52} +(1.89785 + 5.84097i) q^{53} +(4.31609 - 4.79350i) q^{54} +(4.12618 - 0.877046i) q^{55} +(-4.26533 + 7.38777i) q^{56} +15.6019 q^{57} +(-4.40148 - 4.88834i) q^{58} +(-6.58771 + 2.93304i) q^{59} +(-2.62323 + 1.90589i) q^{60} +(-5.97390 + 10.3471i) q^{61} +(7.58785 + 4.00386i) q^{62} +(-7.70666 - 13.3483i) q^{63} +(-4.84940 + 3.52329i) q^{64} +(-3.80755 - 10.7268i) q^{65} +(1.74549 - 5.37206i) q^{66} +(3.48444 + 6.03523i) q^{67} +(-1.27982 - 2.21671i) q^{68} +(1.04571 + 1.16137i) q^{69} +(5.11937 + 15.7558i) q^{70} +(-4.69891 - 0.998785i) q^{71} +(-1.18503 - 11.2748i) q^{72} +(-0.693697 + 2.13498i) q^{73} +(1.82687 + 17.3815i) q^{74} +(1.42409 - 13.5493i) q^{75} +(-1.42477 + 1.58237i) q^{76} +(-3.68153 - 2.67479i) q^{77} +(-14.9883 - 2.76636i) q^{78} +(-1.60461 - 4.93848i) q^{79} +(-1.52080 + 14.4694i) q^{80} +(-1.91294 - 0.851697i) q^{81} +(-4.89030 - 5.43123i) q^{82} +(-10.4548 + 7.59583i) q^{83} +(3.42145 + 0.727252i) q^{84} +(21.1112 + 4.48731i) q^{85} +(3.14723 - 9.68619i) q^{86} +(5.85545 - 10.1419i) q^{87} +(-1.67355 - 2.89868i) q^{88} +(2.97892 - 0.633189i) q^{89} +(-17.8116 - 12.9409i) q^{90} +(-5.85099 + 10.7954i) q^{91} -0.213282 q^{92} +(-2.60485 + 15.0505i) q^{93} +(-2.46395 - 4.26768i) q^{94} +(-1.87671 - 17.8557i) q^{95} +(4.64225 + 3.37279i) q^{96} +(-0.488827 - 0.542898i) q^{97} +(3.54257 - 6.13592i) q^{98} +6.04759 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40769 0.626744i −0.995387 0.443175i −0.156616 0.987660i \(-0.550059\pi\)
−0.838771 + 0.544485i \(0.816725\pi\)
\(3\) 0.286757 2.72831i 0.165559 1.57519i −0.524484 0.851421i \(-0.675742\pi\)
0.690043 0.723769i \(-0.257592\pi\)
\(4\) 0.250522 + 0.278233i 0.125261 + 0.139116i
\(5\) −3.15693 −1.41182 −0.705911 0.708301i \(-0.749462\pi\)
−0.705911 + 0.708301i \(0.749462\pi\)
\(6\) −2.11362 + 3.66089i −0.862880 + 1.49455i
\(7\) 2.27878 + 2.53085i 0.861299 + 0.956570i 0.999427 0.0338448i \(-0.0107752\pi\)
−0.138128 + 0.990414i \(0.544109\pi\)
\(8\) 0.774057 + 2.38230i 0.273671 + 0.842271i
\(9\) −4.42699 0.940986i −1.47566 0.313662i
\(10\) 4.44398 + 1.97859i 1.40531 + 0.625684i
\(11\) −1.30702 + 0.277816i −0.394082 + 0.0837647i −0.400690 0.916213i \(-0.631230\pi\)
0.00660861 + 0.999978i \(0.497896\pi\)
\(12\) 0.830944 0.603716i 0.239873 0.174278i
\(13\) 1.20609 + 3.39784i 0.334510 + 0.942392i
\(14\) −1.62163 4.99086i −0.433398 1.33386i
\(15\) −0.905271 + 8.61308i −0.233740 + 2.22389i
\(16\) 0.481732 4.58338i 0.120433 1.14584i
\(17\) −6.68724 1.42142i −1.62189 0.344744i −0.694693 0.719307i \(-0.744460\pi\)
−0.927202 + 0.374563i \(0.877793\pi\)
\(18\) 5.64207 + 4.09921i 1.32985 + 0.966192i
\(19\) 0.594475 + 5.65605i 0.136382 + 1.29759i 0.821942 + 0.569571i \(0.192891\pi\)
−0.685561 + 0.728016i \(0.740443\pi\)
\(20\) −0.790881 0.878362i −0.176846 0.196408i
\(21\) 7.55838 5.49149i 1.64937 1.19834i
\(22\) 2.01400 + 0.428089i 0.429386 + 0.0912689i
\(23\) −0.381180 + 0.423344i −0.0794816 + 0.0882733i −0.781574 0.623813i \(-0.785583\pi\)
0.702092 + 0.712086i \(0.252249\pi\)
\(24\) 6.72162 1.42872i 1.37205 0.291637i
\(25\) 4.96621 0.993241
\(26\) 0.431771 5.53902i 0.0846773 1.08629i
\(27\) −1.29356 + 3.98116i −0.248945 + 0.766174i
\(28\) −0.133279 + 1.26807i −0.0251874 + 0.239642i
\(29\) 3.89979 + 1.73630i 0.724173 + 0.322422i 0.735511 0.677513i \(-0.236942\pi\)
−0.0113378 + 0.999936i \(0.503609\pi\)
\(30\) 6.67253 11.5572i 1.21823 2.11004i
\(31\) −5.55540 0.370853i −0.997779 0.0666071i
\(32\) −1.04583 + 1.81143i −0.184879 + 0.320219i
\(33\) 0.383170 + 3.64562i 0.0667014 + 0.634622i
\(34\) 8.52270 + 6.19210i 1.46163 + 1.06194i
\(35\) −7.19396 7.98970i −1.21600 1.35051i
\(36\) −0.847246 1.46747i −0.141208 0.244579i
\(37\) −5.67107 9.82259i −0.932319 1.61482i −0.779347 0.626593i \(-0.784449\pi\)
−0.152972 0.988231i \(-0.548884\pi\)
\(38\) 2.70806 8.33455i 0.439305 1.35204i
\(39\) 9.61622 2.31624i 1.53983 0.370895i
\(40\) −2.44364 7.52077i −0.386374 1.18914i
\(41\) 4.33290 + 1.92913i 0.676685 + 0.301279i 0.716155 0.697941i \(-0.245900\pi\)
−0.0394702 + 0.999221i \(0.512567\pi\)
\(42\) −14.0816 + 2.99314i −2.17284 + 0.461851i
\(43\) 0.690883 + 6.57331i 0.105359 + 1.00242i 0.911668 + 0.410927i \(0.134795\pi\)
−0.806310 + 0.591494i \(0.798539\pi\)
\(44\) −0.404735 0.294057i −0.0610162 0.0443308i
\(45\) 13.9757 + 2.97063i 2.08337 + 0.442835i
\(46\) 0.801912 0.357034i 0.118235 0.0526418i
\(47\) 2.58727 + 1.87976i 0.377393 + 0.274192i 0.760270 0.649608i \(-0.225067\pi\)
−0.382877 + 0.923799i \(0.625067\pi\)
\(48\) −12.3667 2.62863i −1.78498 0.379410i
\(49\) −0.480625 + 4.57284i −0.0686607 + 0.653263i
\(50\) −6.99088 3.11254i −0.988660 0.440180i
\(51\) −5.79567 + 17.8373i −0.811557 + 2.49771i
\(52\) −0.643239 + 1.18681i −0.0892012 + 0.164581i
\(53\) 1.89785 + 5.84097i 0.260689 + 0.802319i 0.992655 + 0.120978i \(0.0386030\pi\)
−0.731966 + 0.681341i \(0.761397\pi\)
\(54\) 4.31609 4.79350i 0.587346 0.652313i
\(55\) 4.12618 0.877046i 0.556373 0.118261i
\(56\) −4.26533 + 7.38777i −0.569979 + 0.987233i
\(57\) 15.6019 2.06652
\(58\) −4.40148 4.88834i −0.577943 0.641870i
\(59\) −6.58771 + 2.93304i −0.857647 + 0.381849i −0.787965 0.615720i \(-0.788865\pi\)
−0.0696819 + 0.997569i \(0.522198\pi\)
\(60\) −2.62323 + 1.90589i −0.338658 + 0.246049i
\(61\) −5.97390 + 10.3471i −0.764879 + 1.32481i 0.175431 + 0.984492i \(0.443868\pi\)
−0.940310 + 0.340318i \(0.889465\pi\)
\(62\) 7.58785 + 4.00386i 0.963658 + 0.508491i
\(63\) −7.70666 13.3483i −0.970948 1.68173i
\(64\) −4.84940 + 3.52329i −0.606175 + 0.440412i
\(65\) −3.80755 10.7268i −0.472269 1.33049i
\(66\) 1.74549 5.37206i 0.214855 0.661255i
\(67\) 3.48444 + 6.03523i 0.425692 + 0.737321i 0.996485 0.0837736i \(-0.0266972\pi\)
−0.570792 + 0.821094i \(0.693364\pi\)
\(68\) −1.27982 2.21671i −0.155201 0.268815i
\(69\) 1.04571 + 1.16137i 0.125888 + 0.139813i
\(70\) 5.11937 + 15.7558i 0.611882 + 1.88318i
\(71\) −4.69891 0.998785i −0.557658 0.118534i −0.0795438 0.996831i \(-0.525346\pi\)
−0.478115 + 0.878297i \(0.658680\pi\)
\(72\) −1.18503 11.2748i −0.139657 1.32875i
\(73\) −0.693697 + 2.13498i −0.0811911 + 0.249881i −0.983410 0.181399i \(-0.941938\pi\)
0.902219 + 0.431279i \(0.141938\pi\)
\(74\) 1.82687 + 17.3815i 0.212369 + 2.02055i
\(75\) 1.42409 13.5493i 0.164440 1.56454i
\(76\) −1.42477 + 1.58237i −0.163432 + 0.181510i
\(77\) −3.68153 2.67479i −0.419549 0.304820i
\(78\) −14.9883 2.76636i −1.69710 0.313228i
\(79\) −1.60461 4.93848i −0.180533 0.555622i 0.819310 0.573350i \(-0.194357\pi\)
−0.999843 + 0.0177283i \(0.994357\pi\)
\(80\) −1.52080 + 14.4694i −0.170030 + 1.61773i
\(81\) −1.91294 0.851697i −0.212549 0.0946330i
\(82\) −4.89030 5.43123i −0.540044 0.599779i
\(83\) −10.4548 + 7.59583i −1.14756 + 0.833751i −0.988154 0.153463i \(-0.950957\pi\)
−0.159405 + 0.987213i \(0.550957\pi\)
\(84\) 3.42145 + 0.727252i 0.373311 + 0.0793497i
\(85\) 21.1112 + 4.48731i 2.28983 + 0.486718i
\(86\) 3.14723 9.68619i 0.339375 1.04449i
\(87\) 5.85545 10.1419i 0.627770 1.08733i
\(88\) −1.67355 2.89868i −0.178401 0.309000i
\(89\) 2.97892 0.633189i 0.315765 0.0671179i −0.0473031 0.998881i \(-0.515063\pi\)
0.363068 + 0.931763i \(0.381729\pi\)
\(90\) −17.8116 12.9409i −1.87751 1.36409i
\(91\) −5.85099 + 10.7954i −0.613350 + 1.13166i
\(92\) −0.213282 −0.0222362
\(93\) −2.60485 + 15.0505i −0.270110 + 1.56066i
\(94\) −2.46395 4.26768i −0.254137 0.440178i
\(95\) −1.87671 17.8557i −0.192547 1.83196i
\(96\) 4.64225 + 3.37279i 0.473798 + 0.344234i
\(97\) −0.488827 0.542898i −0.0496329 0.0551229i 0.717817 0.696232i \(-0.245141\pi\)
−0.767450 + 0.641109i \(0.778475\pi\)
\(98\) 3.54257 6.13592i 0.357854 0.619821i
\(99\) 6.04759 0.607806
\(100\) 1.24414 + 1.38176i 0.124414 + 0.138176i
\(101\) 1.61569 1.79441i 0.160768 0.178551i −0.657379 0.753560i \(-0.728335\pi\)
0.818147 + 0.575009i \(0.195002\pi\)
\(102\) 19.3379 21.4769i 1.91474 2.12653i
\(103\) 4.31908 3.13800i 0.425572 0.309196i −0.354304 0.935130i \(-0.615282\pi\)
0.779876 + 0.625934i \(0.215282\pi\)
\(104\) −7.16111 + 5.50341i −0.702204 + 0.539653i
\(105\) −23.8613 + 17.3362i −2.32862 + 1.69184i
\(106\) 0.989214 9.41174i 0.0960809 0.914149i
\(107\) 4.20200 4.66679i 0.406223 0.451156i −0.504970 0.863137i \(-0.668496\pi\)
0.911192 + 0.411981i \(0.135163\pi\)
\(108\) −1.43175 + 0.637458i −0.137770 + 0.0613394i
\(109\) 0.104066 + 0.0756081i 0.00996768 + 0.00724195i 0.592758 0.805381i \(-0.298039\pi\)
−0.582790 + 0.812623i \(0.698039\pi\)
\(110\) −6.35806 1.35145i −0.606217 0.128855i
\(111\) −28.4253 + 12.6557i −2.69801 + 1.20123i
\(112\) 12.6976 9.22533i 1.19981 0.871712i
\(113\) 0.698138 + 0.775360i 0.0656753 + 0.0729398i 0.775087 0.631854i \(-0.217706\pi\)
−0.709412 + 0.704794i \(0.751039\pi\)
\(114\) −21.9627 9.77840i −2.05699 0.915831i
\(115\) 1.20336 1.33647i 0.112214 0.124626i
\(116\) 0.493888 + 1.52003i 0.0458564 + 0.141131i
\(117\) −2.14204 16.1771i −0.198032 1.49558i
\(118\) 11.1117 1.02292
\(119\) −11.6414 20.1635i −1.06716 1.84838i
\(120\) −21.2197 + 4.51038i −1.93708 + 0.411740i
\(121\) −8.41788 + 3.74788i −0.765261 + 0.340716i
\(122\) 14.8944 10.8214i 1.34847 0.979723i
\(123\) 6.50575 11.2683i 0.586603 1.01603i
\(124\) −1.28857 1.63860i −0.115717 0.147151i
\(125\) 0.106682 0.00954189
\(126\) 2.48261 + 23.6204i 0.221168 + 2.10427i
\(127\) 1.20472 11.4622i 0.106902 1.01710i −0.801213 0.598380i \(-0.795811\pi\)
0.908114 0.418722i \(-0.137522\pi\)
\(128\) 13.1266 2.79014i 1.16024 0.246616i
\(129\) 18.1321 1.59644
\(130\) −1.36307 + 17.4863i −0.119549 + 1.53365i
\(131\) −4.20605 + 12.9449i −0.367485 + 1.13100i 0.580926 + 0.813956i \(0.302691\pi\)
−0.948411 + 0.317045i \(0.897309\pi\)
\(132\) −0.918340 + 1.01992i −0.0799312 + 0.0887726i
\(133\) −12.9599 + 14.3934i −1.12377 + 1.24807i
\(134\) −1.12247 10.6796i −0.0969666 0.922576i
\(135\) 4.08367 12.5682i 0.351466 1.08170i
\(136\) −1.79006 17.0313i −0.153496 1.46042i
\(137\) −20.6873 + 9.21060i −1.76744 + 0.786915i −0.780637 + 0.624985i \(0.785105\pi\)
−0.986802 + 0.161930i \(0.948228\pi\)
\(138\) −0.744145 2.29024i −0.0633459 0.194959i
\(139\) 2.92007 1.30010i 0.247677 0.110273i −0.279144 0.960249i \(-0.590051\pi\)
0.526821 + 0.849976i \(0.323384\pi\)
\(140\) 0.420753 4.00319i 0.0355601 0.338332i
\(141\) 5.87049 6.51984i 0.494385 0.549070i
\(142\) 5.98863 + 4.35100i 0.502555 + 0.365127i
\(143\) −2.52037 4.10598i −0.210764 0.343360i
\(144\) −6.44552 + 19.8373i −0.537126 + 1.65311i
\(145\) −12.3114 5.48137i −1.02240 0.455203i
\(146\) 2.31460 2.57062i 0.191557 0.212746i
\(147\) 12.3383 + 2.62259i 1.01765 + 0.216307i
\(148\) 1.31224 4.03866i 0.107865 0.331975i
\(149\) −3.34646 + 5.79624i −0.274153 + 0.474846i −0.969921 0.243420i \(-0.921731\pi\)
0.695768 + 0.718266i \(0.255064\pi\)
\(150\) −10.4966 + 18.1807i −0.857048 + 1.48445i
\(151\) 1.51850 4.67346i 0.123574 0.380321i −0.870065 0.492937i \(-0.835923\pi\)
0.993639 + 0.112617i \(0.0359232\pi\)
\(152\) −13.0143 + 5.79432i −1.05560 + 0.469982i
\(153\) 28.2668 + 12.5852i 2.28524 + 1.01745i
\(154\) 3.50604 + 6.07265i 0.282525 + 0.489348i
\(155\) 17.5380 + 1.17076i 1.40869 + 0.0940374i
\(156\) 3.05353 + 2.09528i 0.244478 + 0.167757i
\(157\) 9.59431 6.97068i 0.765709 0.556321i −0.134947 0.990853i \(-0.543086\pi\)
0.900656 + 0.434532i \(0.143086\pi\)
\(158\) −0.836370 + 7.95752i −0.0665380 + 0.633067i
\(159\) 16.4802 3.50297i 1.30696 0.277804i
\(160\) 3.30162 5.71857i 0.261016 0.452093i
\(161\) −1.94004 −0.152897
\(162\) 2.15904 + 2.39785i 0.169630 + 0.188393i
\(163\) 17.7128 + 3.76497i 1.38737 + 0.294895i 0.840270 0.542169i \(-0.182397\pi\)
0.547105 + 0.837064i \(0.315730\pi\)
\(164\) 0.548739 + 1.68884i 0.0428493 + 0.131877i
\(165\) −1.20964 11.5090i −0.0941705 0.895973i
\(166\) 19.4777 4.14011i 1.51176 0.321335i
\(167\) 16.7405 + 7.45336i 1.29542 + 0.576758i 0.934541 0.355854i \(-0.115810\pi\)
0.360879 + 0.932613i \(0.382477\pi\)
\(168\) 18.9330 + 13.7556i 1.46071 + 1.06127i
\(169\) −10.0907 + 8.19624i −0.776206 + 0.630480i
\(170\) −26.9056 19.5480i −2.06356 1.49927i
\(171\) 2.69053 25.5987i 0.205750 1.95758i
\(172\) −1.65583 + 1.83899i −0.126256 + 0.140221i
\(173\) 20.3748 9.07145i 1.54907 0.689689i 0.558856 0.829265i \(-0.311240\pi\)
0.990211 + 0.139575i \(0.0445737\pi\)
\(174\) −14.5990 + 10.6068i −1.10675 + 0.804102i
\(175\) 11.3169 + 12.5687i 0.855478 + 0.950105i
\(176\) 0.643701 + 6.12441i 0.0485208 + 0.461645i
\(177\) 6.11316 + 18.8144i 0.459493 + 1.41417i
\(178\) −4.59024 0.975686i −0.344053 0.0731307i
\(179\) −21.7347 + 4.61986i −1.62453 + 0.345305i −0.928104 0.372322i \(-0.878562\pi\)
−0.696428 + 0.717627i \(0.745228\pi\)
\(180\) 2.67470 + 4.63271i 0.199360 + 0.345302i
\(181\) −25.5441 −1.89868 −0.949340 0.314252i \(-0.898246\pi\)
−0.949340 + 0.314252i \(0.898246\pi\)
\(182\) 15.0023 11.5295i 1.11205 0.854622i
\(183\) 26.5170 + 19.2657i 1.96019 + 1.42416i
\(184\) −1.30359 0.580395i −0.0961018 0.0427873i
\(185\) 17.9032 + 31.0092i 1.31627 + 2.27984i
\(186\) 13.0996 19.5539i 0.960511 1.43376i
\(187\) 9.13526 0.668037
\(188\) 0.125157 + 1.19079i 0.00912799 + 0.0868471i
\(189\) −13.0234 + 5.79840i −0.947315 + 0.421772i
\(190\) −8.54915 + 26.3116i −0.620220 + 1.90884i
\(191\) 9.19062 15.9186i 0.665010 1.15183i −0.314273 0.949333i \(-0.601761\pi\)
0.979283 0.202498i \(-0.0649061\pi\)
\(192\) 8.22203 + 14.2410i 0.593374 + 1.02775i
\(193\) 12.1698 2.58677i 0.876000 0.186199i 0.252097 0.967702i \(-0.418880\pi\)
0.623902 + 0.781502i \(0.285546\pi\)
\(194\) 0.347859 + 1.07060i 0.0249749 + 0.0768647i
\(195\) −30.3577 + 7.31221i −2.17396 + 0.523638i
\(196\) −1.39272 + 1.01187i −0.0994802 + 0.0722766i
\(197\) −18.8401 + 4.00458i −1.34230 + 0.285315i −0.822398 0.568912i \(-0.807365\pi\)
−0.519901 + 0.854226i \(0.674031\pi\)
\(198\) −8.51314 3.79029i −0.605002 0.269364i
\(199\) 4.83631 2.15326i 0.342837 0.152641i −0.228094 0.973639i \(-0.573249\pi\)
0.570931 + 0.820998i \(0.306583\pi\)
\(200\) 3.84413 + 11.8310i 0.271821 + 0.836579i
\(201\) 17.4652 7.77599i 1.23190 0.548476i
\(202\) −3.39903 + 1.51335i −0.239155 + 0.106479i
\(203\) 4.49247 + 13.8264i 0.315310 + 0.970424i
\(204\) −6.41486 + 2.85608i −0.449130 + 0.199965i
\(205\) −13.6787 6.09013i −0.955358 0.425353i
\(206\) −8.04665 + 1.71037i −0.560636 + 0.119167i
\(207\) 2.08584 1.51545i 0.144976 0.105331i
\(208\) 16.1546 3.89113i 1.12012 0.269802i
\(209\) −2.34833 7.22742i −0.162438 0.499931i
\(210\) 44.4547 9.44913i 3.06766 0.652052i
\(211\) −2.06314 3.57345i −0.142032 0.246007i 0.786230 0.617934i \(-0.212030\pi\)
−0.928262 + 0.371928i \(0.878697\pi\)
\(212\) −1.14970 + 1.99134i −0.0789616 + 0.136766i
\(213\) −4.07244 + 12.5337i −0.279039 + 0.858793i
\(214\) −8.84000 + 3.93582i −0.604290 + 0.269047i
\(215\) −2.18107 20.7515i −0.148748 1.41524i
\(216\) −10.4856 −0.713455
\(217\) −11.7210 14.9050i −0.795672 1.01181i
\(218\) −0.0991053 0.171655i −0.00671226 0.0116260i
\(219\) 5.62596 + 2.50484i 0.380167 + 0.169261i
\(220\) 1.27772 + 0.928319i 0.0861440 + 0.0625872i
\(221\) −3.23569 24.4366i −0.217656 1.64378i
\(222\) 47.9459 3.21792
\(223\) −11.6450 20.1697i −0.779807 1.35066i −0.932053 0.362322i \(-0.881984\pi\)
0.152246 0.988343i \(-0.451349\pi\)
\(224\) −6.96769 + 1.48103i −0.465548 + 0.0989553i
\(225\) −21.9854 4.67313i −1.46569 0.311542i
\(226\) −0.496809 1.52902i −0.0330472 0.101709i
\(227\) 0.646202 + 6.14820i 0.0428899 + 0.408071i 0.994812 + 0.101730i \(0.0324379\pi\)
−0.951922 + 0.306340i \(0.900895\pi\)
\(228\) 3.90862 + 4.34097i 0.258855 + 0.287487i
\(229\) −15.9598 + 11.5955i −1.05466 + 0.766252i −0.973092 0.230416i \(-0.925991\pi\)
−0.0815637 + 0.996668i \(0.525991\pi\)
\(230\) −2.53158 + 1.12713i −0.166927 + 0.0743209i
\(231\) −8.35335 + 9.27733i −0.549610 + 0.610404i
\(232\) −1.11773 + 10.6345i −0.0733825 + 0.698188i
\(233\) −15.9121 11.5608i −1.04244 0.757374i −0.0716759 0.997428i \(-0.522835\pi\)
−0.970759 + 0.240054i \(0.922835\pi\)
\(234\) −7.12359 + 24.1149i −0.465683 + 1.57644i
\(235\) −8.16784 5.93428i −0.532811 0.387110i
\(236\) −2.46643 1.09813i −0.160551 0.0714820i
\(237\) −13.9338 + 2.96172i −0.905099 + 0.192385i
\(238\) 3.75013 + 35.6801i 0.243085 + 2.31280i
\(239\) −2.51118 7.72862i −0.162435 0.499923i 0.836403 0.548114i \(-0.184654\pi\)
−0.998838 + 0.0481917i \(0.984654\pi\)
\(240\) 39.0409 + 8.29840i 2.52008 + 0.535659i
\(241\) 9.11970 + 10.1284i 0.587451 + 0.652431i 0.961444 0.275001i \(-0.0886781\pi\)
−0.373993 + 0.927432i \(0.622011\pi\)
\(242\) 14.1987 0.912728
\(243\) −9.15129 + 15.8505i −0.587056 + 1.01681i
\(244\) −4.37550 + 0.930040i −0.280112 + 0.0595397i
\(245\) 1.51730 14.4361i 0.0969368 0.922292i
\(246\) −16.2204 + 11.7848i −1.03418 + 0.751372i
\(247\) −18.5014 + 8.84166i −1.17721 + 0.562581i
\(248\) −3.41671 13.5217i −0.216962 0.858629i
\(249\) 17.7258 + 30.7020i 1.12333 + 1.94566i
\(250\) −0.150175 0.0668620i −0.00949788 0.00422873i
\(251\) −13.4304 + 5.97960i −0.847720 + 0.377429i −0.784167 0.620549i \(-0.786910\pi\)
−0.0635523 + 0.997979i \(0.520243\pi\)
\(252\) 1.78326 5.48830i 0.112335 0.345730i
\(253\) 0.380599 0.659217i 0.0239281 0.0414446i
\(254\) −8.87971 + 15.3801i −0.557163 + 0.965034i
\(255\) 18.2965 56.3110i 1.14577 3.52633i
\(256\) −8.50044 1.80682i −0.531278 0.112927i
\(257\) 7.42765 8.24924i 0.463324 0.514573i −0.465524 0.885035i \(-0.654134\pi\)
0.928848 + 0.370462i \(0.120801\pi\)
\(258\) −25.5244 11.3642i −1.58908 0.707504i
\(259\) 11.9363 36.7362i 0.741686 2.28267i
\(260\) 2.03066 3.74668i 0.125936 0.232359i
\(261\) −15.6305 11.3562i −0.967504 0.702933i
\(262\) 14.0340 15.5863i 0.867021 0.962924i
\(263\) 1.01042 9.61355i 0.0623054 0.592797i −0.918174 0.396177i \(-0.870337\pi\)
0.980480 0.196620i \(-0.0629966\pi\)
\(264\) −8.38838 + 3.73475i −0.516269 + 0.229858i
\(265\) −5.99137 18.4395i −0.368047 1.13273i
\(266\) 27.2645 12.1389i 1.67170 0.744287i
\(267\) −0.873309 8.30898i −0.0534456 0.508501i
\(268\) −0.806270 + 2.48145i −0.0492508 + 0.151578i
\(269\) 2.04035 + 19.4126i 0.124402 + 1.18361i 0.861477 + 0.507797i \(0.169540\pi\)
−0.737074 + 0.675812i \(0.763793\pi\)
\(270\) −13.6256 + 15.1328i −0.829227 + 0.920950i
\(271\) −18.9101 + 21.0018i −1.14871 + 1.27577i −0.193079 + 0.981183i \(0.561848\pi\)
−0.955626 + 0.294583i \(0.904819\pi\)
\(272\) −9.73635 + 29.9654i −0.590353 + 1.81692i
\(273\) 27.7753 + 19.0589i 1.68104 + 1.15350i
\(274\) 34.8941 2.10803
\(275\) −6.49094 + 1.37969i −0.391418 + 0.0831986i
\(276\) −0.0611601 + 0.581900i −0.00368141 + 0.0350262i
\(277\) −0.516659 4.91568i −0.0310430 0.295355i −0.999018 0.0443077i \(-0.985892\pi\)
0.967975 0.251047i \(-0.0807749\pi\)
\(278\) −4.92539 −0.295405
\(279\) 24.2447 + 6.86931i 1.45149 + 0.411255i
\(280\) 13.4654 23.3227i 0.804709 1.39380i
\(281\) 4.29206 3.11836i 0.256043 0.186026i −0.452358 0.891837i \(-0.649417\pi\)
0.708401 + 0.705811i \(0.249417\pi\)
\(282\) −12.3501 + 5.49862i −0.735438 + 0.327438i
\(283\) 7.03793 1.49596i 0.418362 0.0889255i 0.00607911 0.999982i \(-0.498065\pi\)
0.412283 + 0.911056i \(0.364732\pi\)
\(284\) −0.899287 1.55761i −0.0533629 0.0924272i
\(285\) −49.2541 −2.91756
\(286\) 0.974495 + 7.35958i 0.0576231 + 0.435181i
\(287\) 4.99140 + 15.3620i 0.294633 + 0.906788i
\(288\) 6.33442 7.03509i 0.373259 0.414547i
\(289\) 27.1685 + 12.0962i 1.59815 + 0.711541i
\(290\) 13.8952 + 15.4321i 0.815952 + 0.906207i
\(291\) −1.62137 + 1.17799i −0.0950462 + 0.0690551i
\(292\) −0.767809 + 0.341850i −0.0449326 + 0.0200053i
\(293\) 19.4008 + 4.12377i 1.13341 + 0.240913i 0.736167 0.676800i \(-0.236634\pi\)
0.397242 + 0.917714i \(0.369967\pi\)
\(294\) −15.7248 11.4247i −0.917090 0.666305i
\(295\) 20.7969 9.25939i 1.21084 0.539103i
\(296\) 19.0106 21.1135i 1.10497 1.22720i
\(297\) 0.584677 5.56283i 0.0339264 0.322788i
\(298\) 8.34354 6.06193i 0.483328 0.351158i
\(299\) −1.89819 0.784599i −0.109775 0.0453745i
\(300\) 4.12664 2.99818i 0.238252 0.173100i
\(301\) −15.0617 + 16.7277i −0.868140 + 0.964167i
\(302\) −5.06664 + 5.62707i −0.291552 + 0.323801i
\(303\) −4.43239 4.92267i −0.254634 0.282800i
\(304\) 26.2102 1.50326
\(305\) 18.8592 32.6651i 1.07987 1.87040i
\(306\) −31.9032 35.4321i −1.82379 2.02552i
\(307\) −15.2781 11.1002i −0.871969 0.633523i 0.0591455 0.998249i \(-0.481162\pi\)
−0.931115 + 0.364727i \(0.881162\pi\)
\(308\) −0.178090 1.69442i −0.0101476 0.0965483i
\(309\) −7.32289 12.6836i −0.416585 0.721546i
\(310\) −23.9543 12.6399i −1.36051 0.717898i
\(311\) −1.84282 −0.104497 −0.0522483 0.998634i \(-0.516639\pi\)
−0.0522483 + 0.998634i \(0.516639\pi\)
\(312\) 12.9615 + 21.1158i 0.733800 + 1.19545i
\(313\) −1.88603 1.37028i −0.106605 0.0774528i 0.533206 0.845986i \(-0.320987\pi\)
−0.639810 + 0.768533i \(0.720987\pi\)
\(314\) −17.8746 + 3.79937i −1.00872 + 0.214411i
\(315\) 24.3294 + 42.1397i 1.37081 + 2.37431i
\(316\) 0.972057 1.68365i 0.0546825 0.0947129i
\(317\) 3.39246 10.4409i 0.190539 0.586420i −0.809460 0.587175i \(-0.800240\pi\)
1.00000 0.000754694i \(0.000240227\pi\)
\(318\) −25.3945 5.39776i −1.42405 0.302691i
\(319\) −5.57948 1.18596i −0.312391 0.0664008i
\(320\) 15.3092 11.1228i 0.855811 0.621783i
\(321\) −11.5275 12.8026i −0.643402 0.714570i
\(322\) 2.73098 + 1.21591i 0.152192 + 0.0677601i
\(323\) 4.06421 38.6684i 0.226139 2.15156i
\(324\) −0.242264 0.745613i −0.0134591 0.0414229i
\(325\) 5.98971 + 16.8744i 0.332250 + 0.936023i
\(326\) −22.5745 16.4013i −1.25028 0.908385i
\(327\) 0.236124 0.262242i 0.0130577 0.0145020i
\(328\) −1.24186 + 11.8155i −0.0685704 + 0.652404i
\(329\) 1.13844 + 10.8316i 0.0627644 + 0.597163i
\(330\) −5.51038 + 16.9592i −0.303336 + 0.933574i
\(331\) −1.72360 16.3990i −0.0947377 0.901369i −0.933911 0.357505i \(-0.883627\pi\)
0.839173 0.543864i \(-0.183039\pi\)
\(332\) −4.73256 1.00594i −0.259733 0.0552079i
\(333\) 15.8629 + 48.8209i 0.869280 + 2.67537i
\(334\) −18.8941 20.9840i −1.03384 1.14820i
\(335\) −11.0001 19.0528i −0.601002 1.04097i
\(336\) −21.5284 37.2883i −1.17447 2.03425i
\(337\) −3.12033 + 9.60338i −0.169975 + 0.523130i −0.999368 0.0355356i \(-0.988686\pi\)
0.829393 + 0.558665i \(0.188686\pi\)
\(338\) 19.3415 5.21349i 1.05204 0.283577i
\(339\) 2.31562 1.68239i 0.125767 0.0913751i
\(340\) 4.04029 + 6.99799i 0.219116 + 0.379519i
\(341\) 7.36406 1.05867i 0.398786 0.0573300i
\(342\) −19.8312 + 34.3487i −1.07235 + 1.85737i
\(343\) 6.61785 4.80815i 0.357330 0.259616i
\(344\) −15.1248 + 6.73401i −0.815476 + 0.363074i
\(345\) −3.30122 3.66638i −0.177732 0.197391i
\(346\) −34.3669 −1.84758
\(347\) 1.71100 2.96354i 0.0918513 0.159091i −0.816439 0.577432i \(-0.804055\pi\)
0.908290 + 0.418341i \(0.137388\pi\)
\(348\) 4.28874 0.911599i 0.229901 0.0488669i
\(349\) −12.8252 + 14.2438i −0.686517 + 0.762454i −0.981169 0.193151i \(-0.938129\pi\)
0.294653 + 0.955604i \(0.404796\pi\)
\(350\) −8.05334 24.7856i −0.430469 1.32485i
\(351\) −15.0875 + 0.406348i −0.805311 + 0.0216893i
\(352\) 0.863680 2.65813i 0.0460343 0.141679i
\(353\) −10.0065 4.45520i −0.532594 0.237126i 0.122775 0.992434i \(-0.460821\pi\)
−0.655370 + 0.755308i \(0.727487\pi\)
\(354\) 3.18636 30.3162i 0.169353 1.61129i
\(355\) 14.8341 + 3.15309i 0.787314 + 0.167349i
\(356\) 0.922459 + 0.670206i 0.0488902 + 0.0355208i
\(357\) −58.3504 + 25.9793i −3.08823 + 1.37497i
\(358\) 33.4913 + 7.11879i 1.77007 + 0.376240i
\(359\) −11.5801 8.41345i −0.611175 0.444045i 0.238653 0.971105i \(-0.423294\pi\)
−0.849828 + 0.527060i \(0.823294\pi\)
\(360\) 3.74106 + 35.5938i 0.197171 + 1.87596i
\(361\) −13.0527 + 2.77443i −0.686983 + 0.146023i
\(362\) 35.9582 + 16.0096i 1.88992 + 0.841447i
\(363\) 7.81149 + 24.0413i 0.409997 + 1.26184i
\(364\) −4.46943 + 1.07654i −0.234262 + 0.0564263i
\(365\) 2.18995 6.73999i 0.114627 0.352787i
\(366\) −25.2530 43.7395i −1.32000 2.28630i
\(367\) −8.58706 14.8732i −0.448241 0.776376i 0.550031 0.835144i \(-0.314616\pi\)
−0.998272 + 0.0587684i \(0.981283\pi\)
\(368\) 1.75672 + 1.95103i 0.0915752 + 0.101705i
\(369\) −17.3664 12.6174i −0.904059 0.656837i
\(370\) −5.76729 54.8721i −0.299827 2.85266i
\(371\) −10.4578 + 18.1135i −0.542943 + 0.940404i
\(372\) −4.84012 + 3.04573i −0.250948 + 0.157914i
\(373\) −5.59992 + 9.69935i −0.289953 + 0.502213i −0.973798 0.227414i \(-0.926973\pi\)
0.683845 + 0.729627i \(0.260306\pi\)
\(374\) −12.8596 5.72547i −0.664955 0.296057i
\(375\) 0.0305917 0.291060i 0.00157975 0.0150303i
\(376\) −2.47547 + 7.61871i −0.127663 + 0.392905i
\(377\) −1.19616 + 15.3450i −0.0616051 + 0.790308i
\(378\) 21.9671 1.12986
\(379\) 16.9957 3.61256i 0.873013 0.185565i 0.250445 0.968131i \(-0.419423\pi\)
0.622567 + 0.782566i \(0.286090\pi\)
\(380\) 4.49790 4.99542i 0.230737 0.256260i
\(381\) −30.9268 6.57370i −1.58443 0.336781i
\(382\) −22.9144 + 16.6483i −1.17241 + 0.851802i
\(383\) 23.3906 + 25.9779i 1.19520 + 1.32741i 0.931908 + 0.362695i \(0.118143\pi\)
0.263297 + 0.964715i \(0.415190\pi\)
\(384\) −3.84822 36.6134i −0.196379 1.86842i
\(385\) 11.6223 + 8.44412i 0.592329 + 0.430352i
\(386\) −18.7525 3.98597i −0.954478 0.202881i
\(387\) 3.12686 29.7501i 0.158947 1.51228i
\(388\) 0.0285900 0.272016i 0.00145144 0.0138095i
\(389\) 1.76324 + 5.42668i 0.0893996 + 0.275144i 0.985754 0.168195i \(-0.0537939\pi\)
−0.896354 + 0.443339i \(0.853794\pi\)
\(390\) 47.3172 + 8.73319i 2.39600 + 0.442222i
\(391\) 3.15079 2.28918i 0.159342 0.115769i
\(392\) −11.2659 + 2.39465i −0.569016 + 0.120948i
\(393\) 34.1116 + 15.1874i 1.72070 + 0.766105i
\(394\) 29.0308 + 6.17069i 1.46255 + 0.310875i
\(395\) 5.06564 + 15.5904i 0.254880 + 0.784440i
\(396\) 1.51506 + 1.68264i 0.0761344 + 0.0845558i
\(397\) 9.77123 16.9243i 0.490404 0.849405i −0.509535 0.860450i \(-0.670182\pi\)
0.999939 + 0.0110451i \(0.00351583\pi\)
\(398\) −8.15757 −0.408902
\(399\) 35.5534 + 39.4860i 1.77989 + 1.97677i
\(400\) 2.39238 22.7620i 0.119619 1.13810i
\(401\) 4.57887 + 2.03865i 0.228658 + 0.101805i 0.517868 0.855461i \(-0.326726\pi\)
−0.289210 + 0.957266i \(0.593393\pi\)
\(402\) −29.4591 −1.46929
\(403\) −5.44024 19.3237i −0.270997 0.962580i
\(404\) 0.904031 0.0449772
\(405\) 6.03903 + 2.68875i 0.300082 + 0.133605i
\(406\) 2.34161 22.2789i 0.116212 1.10568i
\(407\) 10.1411 + 11.2628i 0.502675 + 0.558277i
\(408\) −46.9799 −2.32585
\(409\) −6.44266 + 11.1590i −0.318569 + 0.551778i −0.980190 0.198061i \(-0.936536\pi\)
0.661621 + 0.749839i \(0.269869\pi\)
\(410\) 15.4384 + 17.1460i 0.762446 + 0.846782i
\(411\) 19.1971 + 59.0826i 0.946924 + 2.91433i
\(412\) 1.95512 + 0.415573i 0.0963218 + 0.0204738i
\(413\) −22.4350 9.98872i −1.10396 0.491513i
\(414\) −3.88602 + 0.825999i −0.190987 + 0.0405956i
\(415\) 33.0050 23.9795i 1.62015 1.17711i
\(416\) −7.41634 1.36881i −0.363616 0.0671116i
\(417\) −2.70972 8.33967i −0.132696 0.408395i
\(418\) −1.22402 + 11.6458i −0.0598688 + 0.569613i
\(419\) −2.18617 + 20.8000i −0.106802 + 1.01615i 0.801546 + 0.597933i \(0.204011\pi\)
−0.908348 + 0.418216i \(0.862656\pi\)
\(420\) −10.8013 2.29589i −0.527049 0.112028i
\(421\) −11.2349 8.16266i −0.547557 0.397824i 0.279327 0.960196i \(-0.409889\pi\)
−0.826884 + 0.562373i \(0.809889\pi\)
\(422\) 0.664613 + 6.32337i 0.0323529 + 0.307817i
\(423\) −9.68500 10.7563i −0.470901 0.522988i
\(424\) −12.4459 + 9.04249i −0.604427 + 0.439142i
\(425\) −33.2102 7.05905i −1.61093 0.342414i
\(426\) 13.5881 15.0912i 0.658347 0.731169i
\(427\) −39.8001 + 8.45978i −1.92606 + 0.409397i
\(428\) 2.35115 0.113647
\(429\) −11.9251 + 5.69892i −0.575750 + 0.275146i
\(430\) −9.93560 + 30.5786i −0.479137 + 1.47463i
\(431\) −0.196594 + 1.87046i −0.00946958 + 0.0900970i −0.998236 0.0593727i \(-0.981090\pi\)
0.988766 + 0.149470i \(0.0477566\pi\)
\(432\) 17.6240 + 7.84671i 0.847935 + 0.377525i
\(433\) 14.1860 24.5709i 0.681736 1.18080i −0.292714 0.956200i \(-0.594558\pi\)
0.974451 0.224602i \(-0.0721082\pi\)
\(434\) 7.15792 + 28.3276i 0.343591 + 1.35977i
\(435\) −18.4852 + 32.0174i −0.886299 + 1.53512i
\(436\) 0.00503407 + 0.0478960i 0.000241088 + 0.00229380i
\(437\) −2.62105 1.90431i −0.125382 0.0910954i
\(438\) −6.34972 7.05208i −0.303401 0.336961i
\(439\) 5.74798 + 9.95579i 0.274336 + 0.475164i 0.969967 0.243235i \(-0.0782086\pi\)
−0.695631 + 0.718399i \(0.744875\pi\)
\(440\) 5.28329 + 9.15092i 0.251871 + 0.436253i
\(441\) 6.43070 19.7917i 0.306224 0.942461i
\(442\) −10.7606 + 36.4270i −0.511830 + 1.73266i
\(443\) −4.15727 12.7948i −0.197518 0.607898i −0.999938 0.0111381i \(-0.996455\pi\)
0.802420 0.596760i \(-0.203545\pi\)
\(444\) −10.6424 4.73830i −0.505066 0.224870i
\(445\) −9.40424 + 1.99893i −0.445804 + 0.0947585i
\(446\) 3.75129 + 35.6912i 0.177629 + 1.69003i
\(447\) 14.8543 + 10.7923i 0.702584 + 0.510457i
\(448\) −19.9676 4.24425i −0.943382 0.200522i
\(449\) 23.2710 10.3609i 1.09823 0.488963i 0.224055 0.974577i \(-0.428071\pi\)
0.874173 + 0.485614i \(0.161404\pi\)
\(450\) 28.0197 + 20.3575i 1.32086 + 0.959662i
\(451\) −6.19913 1.31767i −0.291906 0.0620465i
\(452\) −0.0408319 + 0.388490i −0.00192057 + 0.0182730i
\(453\) −12.3152 5.48308i −0.578618 0.257617i
\(454\) 2.94370 9.05977i 0.138155 0.425196i
\(455\) 18.4712 34.0803i 0.865941 1.59771i
\(456\) 12.0768 + 37.1685i 0.565547 + 1.74057i
\(457\) 13.0962 14.5448i 0.612616 0.680379i −0.354400 0.935094i \(-0.615315\pi\)
0.967016 + 0.254715i \(0.0819816\pi\)
\(458\) 29.7339 6.32014i 1.38937 0.295321i
\(459\) 14.3092 24.7843i 0.667896 1.15683i
\(460\) 0.673317 0.0313936
\(461\) 5.14324 + 5.71215i 0.239545 + 0.266041i 0.850915 0.525303i \(-0.176048\pi\)
−0.611370 + 0.791345i \(0.709381\pi\)
\(462\) 17.5734 7.82420i 0.817590 0.364015i
\(463\) 7.56047 5.49300i 0.351365 0.255282i −0.398076 0.917352i \(-0.630322\pi\)
0.749441 + 0.662071i \(0.230322\pi\)
\(464\) 9.83677 17.0378i 0.456660 0.790959i
\(465\) 8.22332 47.5134i 0.381348 2.20338i
\(466\) 15.1536 + 26.2468i 0.701978 + 1.21586i
\(467\) 11.9878 8.70966i 0.554730 0.403035i −0.274796 0.961502i \(-0.588610\pi\)
0.829526 + 0.558467i \(0.188610\pi\)
\(468\) 3.96438 4.64872i 0.183254 0.214887i
\(469\) −7.33395 + 22.5716i −0.338650 + 1.04226i
\(470\) 7.77851 + 13.4728i 0.358796 + 0.621453i
\(471\) −16.2669 28.1751i −0.749540 1.29824i
\(472\) −12.0866 13.4236i −0.556333 0.617870i
\(473\) −2.72917 8.39952i −0.125487 0.386210i
\(474\) 21.4707 + 4.56375i 0.986184 + 0.209620i
\(475\) 2.95228 + 28.0891i 0.135460 + 1.28882i
\(476\) 2.69372 8.29041i 0.123466 0.379990i
\(477\) −2.90548 27.6438i −0.133033 1.26572i
\(478\) −1.30890 + 12.4534i −0.0598678 + 0.569604i
\(479\) −15.0250 + 16.6869i −0.686508 + 0.762445i −0.981168 0.193158i \(-0.938127\pi\)
0.294659 + 0.955602i \(0.404794\pi\)
\(480\) −14.6553 10.6477i −0.668918 0.485997i
\(481\) 26.5358 31.1164i 1.20993 1.41878i
\(482\) −6.48976 19.9734i −0.295601 0.909765i
\(483\) −0.556321 + 5.29304i −0.0253135 + 0.240842i
\(484\) −3.15165 1.40320i −0.143257 0.0637820i
\(485\) 1.54319 + 1.71389i 0.0700728 + 0.0778238i
\(486\) 22.8164 16.5771i 1.03497 0.751952i
\(487\) −24.5069 5.20911i −1.11051 0.236047i −0.384091 0.923295i \(-0.625485\pi\)
−0.726423 + 0.687248i \(0.758819\pi\)
\(488\) −29.2741 6.22239i −1.32517 0.281675i
\(489\) 15.3513 47.2464i 0.694209 2.13655i
\(490\) −11.1837 + 19.3707i −0.505226 + 0.875077i
\(491\) −0.818498 1.41768i −0.0369383 0.0639790i 0.846965 0.531648i \(-0.178427\pi\)
−0.883904 + 0.467669i \(0.845094\pi\)
\(492\) 4.76504 1.01284i 0.214825 0.0456624i
\(493\) −23.6108 17.1543i −1.06338 0.772590i
\(494\) 31.5856 0.850690i 1.42111 0.0382744i
\(495\) −19.0918 −0.858114
\(496\) −4.37597 + 25.2838i −0.196487 + 1.13528i
\(497\) −8.18004 14.1682i −0.366925 0.635532i
\(498\) −5.71014 54.3284i −0.255878 2.43451i
\(499\) 5.91321 + 4.29619i 0.264711 + 0.192324i 0.712222 0.701955i \(-0.247689\pi\)
−0.447510 + 0.894279i \(0.647689\pi\)
\(500\) 0.0267261 + 0.0296823i 0.00119523 + 0.00132743i
\(501\) 25.1355 43.5360i 1.12297 1.94504i
\(502\) 22.6535 1.01108
\(503\) 7.52936 + 8.36220i 0.335718 + 0.372852i 0.887240 0.461308i \(-0.152620\pi\)
−0.551523 + 0.834160i \(0.685953\pi\)
\(504\) 25.8344 28.6920i 1.15075 1.27804i
\(505\) −5.10064 + 5.66483i −0.226975 + 0.252082i
\(506\) −0.948926 + 0.689435i −0.0421849 + 0.0306491i
\(507\) 19.4683 + 29.8808i 0.864617 + 1.32705i
\(508\) 3.49096 2.53633i 0.154886 0.112531i
\(509\) −1.24254 + 11.8220i −0.0550747 + 0.524001i 0.931853 + 0.362836i \(0.118192\pi\)
−0.986928 + 0.161165i \(0.948475\pi\)
\(510\) −61.0484 + 67.8011i −2.70327 + 3.00228i
\(511\) −6.98409 + 3.10952i −0.308958 + 0.137557i
\(512\) −10.8802 7.90489i −0.480839 0.349350i
\(513\) −23.2866 4.94972i −1.02813 0.218535i
\(514\) −15.6260 + 6.95714i −0.689233 + 0.306866i
\(515\) −13.6350 + 9.90643i −0.600831 + 0.436530i
\(516\) 4.54250 + 5.04496i 0.199972 + 0.222092i
\(517\) −3.90385 1.73811i −0.171691 0.0764418i
\(518\) −39.8268 + 44.2321i −1.74989 + 1.94345i
\(519\) −18.9071 58.1900i −0.829929 2.55426i
\(520\) 22.6071 17.3739i 0.991388 0.761895i
\(521\) 22.1912 0.972213 0.486106 0.873900i \(-0.338417\pi\)
0.486106 + 0.873900i \(0.338417\pi\)
\(522\) 14.8855 + 25.7824i 0.651519 + 1.12846i
\(523\) 12.5647 2.67071i 0.549416 0.116782i 0.0751641 0.997171i \(-0.476052\pi\)
0.474252 + 0.880389i \(0.342719\pi\)
\(524\) −4.65541 + 2.07272i −0.203372 + 0.0905472i
\(525\) 37.5365 27.2719i 1.63823 1.19024i
\(526\) −7.44760 + 12.8996i −0.324731 + 0.562450i
\(527\) 36.6232 + 10.3765i 1.59533 + 0.452008i
\(528\) 16.8939 0.735211
\(529\) 2.37023 + 22.5513i 0.103054 + 0.980490i
\(530\) −3.12288 + 29.7122i −0.135649 + 1.29062i
\(531\) 31.9237 6.78559i 1.38537 0.294469i
\(532\) −7.25147 −0.314391
\(533\) −1.32900 + 17.0492i −0.0575654 + 0.738483i
\(534\) −3.97825 + 12.2438i −0.172156 + 0.529841i
\(535\) −13.2654 + 14.7327i −0.573514 + 0.636952i
\(536\) −11.6806 + 12.9726i −0.504525 + 0.560332i
\(537\) 6.37182 + 60.6239i 0.274965 + 2.61611i
\(538\) 9.29457 28.6057i 0.400717 1.23328i
\(539\) −0.642222 6.11033i −0.0276624 0.263191i
\(540\) 4.51994 2.01241i 0.194507 0.0866003i
\(541\) 8.53614 + 26.2715i 0.366997 + 1.12950i 0.948721 + 0.316115i \(0.102379\pi\)
−0.581724 + 0.813387i \(0.697621\pi\)
\(542\) 39.7823 17.7122i 1.70879 0.760804i
\(543\) −7.32495 + 69.6922i −0.314344 + 2.99078i
\(544\) 9.56854 10.6269i 0.410248 0.455626i
\(545\) −0.328528 0.238690i −0.0140726 0.0102243i
\(546\) −27.1540 44.2371i −1.16208 1.89317i
\(547\) 6.87016 21.1442i 0.293747 0.904059i −0.689893 0.723911i \(-0.742342\pi\)
0.983640 0.180148i \(-0.0576576\pi\)
\(548\) −7.74533 3.44844i −0.330864 0.147310i
\(549\) 36.1829 40.1851i 1.54425 1.71506i
\(550\) 10.0019 + 2.12598i 0.426484 + 0.0906521i
\(551\) −7.50226 + 23.0896i −0.319607 + 0.983649i
\(552\) −1.95731 + 3.39016i −0.0833086 + 0.144295i
\(553\) 8.84197 15.3147i 0.375999 0.651249i
\(554\) −2.35358 + 7.24357i −0.0999940 + 0.307750i
\(555\) 89.7366 39.9533i 3.80910 1.69592i
\(556\) 1.09327 + 0.486757i 0.0463651 + 0.0206431i
\(557\) 6.87344 + 11.9052i 0.291237 + 0.504437i 0.974103 0.226107i \(-0.0725998\pi\)
−0.682865 + 0.730544i \(0.739266\pi\)
\(558\) −29.8238 24.8651i −1.26254 1.05262i
\(559\) −21.5018 + 10.2755i −0.909429 + 0.434609i
\(560\) −40.0854 + 29.1237i −1.69392 + 1.23070i
\(561\) 2.61960 24.9238i 0.110599 1.05228i
\(562\) −7.99630 + 1.69967i −0.337304 + 0.0716961i
\(563\) 7.14868 12.3819i 0.301281 0.521834i −0.675145 0.737685i \(-0.735919\pi\)
0.976426 + 0.215851i \(0.0692524\pi\)
\(564\) 3.28472 0.138312
\(565\) −2.20397 2.44776i −0.0927218 0.102978i
\(566\) −10.8448 2.30514i −0.455842 0.0968921i
\(567\) −2.20367 6.78220i −0.0925454 0.284826i
\(568\) −1.25782 11.9674i −0.0527769 0.502139i
\(569\) −11.9887 + 2.54828i −0.502593 + 0.106829i −0.452230 0.891902i \(-0.649371\pi\)
−0.0503633 + 0.998731i \(0.516038\pi\)
\(570\) 69.3346 + 30.8697i 2.90410 + 1.29299i
\(571\) 3.33810 + 2.42527i 0.139695 + 0.101495i 0.655438 0.755249i \(-0.272484\pi\)
−0.515743 + 0.856743i \(0.672484\pi\)
\(572\) 0.511012 1.72989i 0.0213665 0.0723303i
\(573\) −40.7954 29.6396i −1.70425 1.23821i
\(574\) 2.60167 24.7532i 0.108591 1.03318i
\(575\) −1.89302 + 2.10241i −0.0789444 + 0.0876767i
\(576\) 24.7836 11.0344i 1.03265 0.459765i
\(577\) −9.23376 + 6.70872i −0.384406 + 0.279288i −0.763159 0.646210i \(-0.776353\pi\)
0.378753 + 0.925498i \(0.376353\pi\)
\(578\) −30.6636 34.0554i −1.27544 1.41652i
\(579\) −3.56773 33.9447i −0.148270 1.41069i
\(580\) −1.55917 4.79863i −0.0647410 0.199252i
\(581\) −43.0480 9.15014i −1.78593 0.379612i
\(582\) 3.02068 0.642066i 0.125211 0.0266145i
\(583\) −4.10324 7.10702i −0.169939 0.294343i
\(584\) −5.62313 −0.232687
\(585\) 6.76229 + 51.0701i 0.279586 + 2.11149i
\(586\) −24.7258 17.9643i −1.02141 0.742100i
\(587\) 24.6063 + 10.9554i 1.01561 + 0.452179i 0.845915 0.533318i \(-0.179055\pi\)
0.169695 + 0.985497i \(0.445722\pi\)
\(588\) 2.36133 + 4.08994i 0.0973795 + 0.168666i
\(589\) −1.20498 31.6421i −0.0496505 1.30379i
\(590\) −35.0789 −1.44418
\(591\) 5.52321 + 52.5499i 0.227195 + 2.16161i
\(592\) −47.7526 + 21.2608i −1.96262 + 0.873814i
\(593\) −12.2636 + 37.7435i −0.503606 + 1.54994i 0.299496 + 0.954098i \(0.403182\pi\)
−0.803102 + 0.595842i \(0.796818\pi\)
\(594\) −4.30951 + 7.46429i −0.176821 + 0.306264i
\(595\) 36.7510 + 63.6547i 1.50665 + 2.60959i
\(596\) −2.45107 + 0.520990i −0.100400 + 0.0213406i
\(597\) −4.48792 13.8124i −0.183678 0.565304i
\(598\) 2.18033 + 2.29415i 0.0891602 + 0.0938149i
\(599\) 35.7379 25.9651i 1.46021 1.06090i 0.476901 0.878957i \(-0.341760\pi\)
0.983308 0.181947i \(-0.0582399\pi\)
\(600\) 33.3810 7.09534i 1.36277 0.289666i
\(601\) 30.0985 + 13.4007i 1.22774 + 0.546626i 0.915093 0.403242i \(-0.132117\pi\)
0.312650 + 0.949869i \(0.398783\pi\)
\(602\) 31.6861 14.1076i 1.29143 0.574981i
\(603\) −9.74653 29.9967i −0.396909 1.22156i
\(604\) 1.68073 0.748308i 0.0683878 0.0304482i
\(605\) 26.5746 11.8318i 1.08041 0.481031i
\(606\) 3.15418 + 9.70757i 0.128130 + 0.394343i
\(607\) −28.3367 + 12.6163i −1.15015 + 0.512080i −0.891111 0.453786i \(-0.850073\pi\)
−0.259041 + 0.965866i \(0.583406\pi\)
\(608\) −10.8673 4.83842i −0.440726 0.196224i
\(609\) 39.0110 8.29203i 1.58080 0.336010i
\(610\) −47.0205 + 34.1624i −1.90380 + 1.38319i
\(611\) −3.26665 + 11.0583i −0.132154 + 0.447372i
\(612\) 3.57985 + 11.0176i 0.144707 + 0.445361i
\(613\) −29.6560 + 6.30358i −1.19779 + 0.254599i −0.763281 0.646066i \(-0.776413\pi\)
−0.434513 + 0.900665i \(0.643080\pi\)
\(614\) 14.5499 + 25.2011i 0.587186 + 1.01704i
\(615\) −20.5382 + 35.5732i −0.828180 + 1.43445i
\(616\) 3.52244 10.8410i 0.141923 0.436795i
\(617\) 0.910664 0.405454i 0.0366619 0.0163230i −0.388324 0.921523i \(-0.626946\pi\)
0.424986 + 0.905200i \(0.360279\pi\)
\(618\) 2.35898 + 22.4442i 0.0948921 + 0.902838i
\(619\) −13.2773 −0.533659 −0.266829 0.963744i \(-0.585976\pi\)
−0.266829 + 0.963744i \(0.585976\pi\)
\(620\) 4.06792 + 5.17295i 0.163371 + 0.207751i
\(621\) −1.19232 2.06516i −0.0478461 0.0828719i
\(622\) 2.59411 + 1.15497i 0.104015 + 0.0463102i
\(623\) 8.39081 + 6.09628i 0.336171 + 0.244242i
\(624\) −5.98377 45.1906i −0.239542 1.80907i
\(625\) −25.1678 −1.00671
\(626\) 1.79613 + 3.11099i 0.0717878 + 0.124340i
\(627\) −20.3920 + 4.33446i −0.814379 + 0.173102i
\(628\) 4.34306 + 0.923146i 0.173307 + 0.0368375i
\(629\) 23.9618 + 73.7470i 0.955421 + 2.94048i
\(630\) −7.83741 74.5680i −0.312250 2.97086i
\(631\) −24.4256 27.1273i −0.972366 1.07992i −0.996777 0.0802203i \(-0.974438\pi\)
0.0244108 0.999702i \(-0.492229\pi\)
\(632\) 10.5229 7.64533i 0.418578 0.304115i
\(633\) −10.3411 + 4.60416i −0.411022 + 0.182999i
\(634\) −11.3193 + 12.5714i −0.449547 + 0.499273i
\(635\) −3.80322 + 36.1852i −0.150926 + 1.43597i
\(636\) 5.10329 + 3.70776i 0.202359 + 0.147022i
\(637\) −16.1175 + 3.88219i −0.638598 + 0.153818i
\(638\) 7.11089 + 5.16636i 0.281523 + 0.204538i
\(639\) 19.8622 + 8.84322i 0.785737 + 0.349832i
\(640\) −41.4396 + 8.80827i −1.63805 + 0.348177i
\(641\) 0.0198717 + 0.189066i 0.000784884 + 0.00746768i 0.994907 0.100794i \(-0.0321383\pi\)
−0.994122 + 0.108262i \(0.965472\pi\)
\(642\) 8.20320 + 25.2469i 0.323755 + 0.996414i
\(643\) −11.0825 2.35566i −0.437052 0.0928983i −0.0158694 0.999874i \(-0.505052\pi\)
−0.421183 + 0.906976i \(0.638385\pi\)
\(644\) −0.486024 0.539784i −0.0191520 0.0212705i
\(645\) −57.2419 −2.25390
\(646\) −29.9563 + 51.8858i −1.17861 + 2.04142i
\(647\) −30.3140 + 6.44344i −1.19177 + 0.253318i −0.760761 0.649032i \(-0.775174\pi\)
−0.431005 + 0.902350i \(0.641841\pi\)
\(648\) 0.548274 5.21647i 0.0215382 0.204922i
\(649\) 7.79543 5.66371i 0.305998 0.222320i
\(650\) 2.14426 27.5079i 0.0841050 1.07895i
\(651\) −44.0264 + 27.7044i −1.72553 + 1.08582i
\(652\) 3.38991 + 5.87150i 0.132759 + 0.229946i
\(653\) 21.2336 + 9.45382i 0.830936 + 0.369957i 0.777708 0.628626i \(-0.216382\pi\)
0.0532282 + 0.998582i \(0.483049\pi\)
\(654\) −0.496748 + 0.221166i −0.0194244 + 0.00864829i
\(655\) 13.2782 40.8662i 0.518823 1.59677i
\(656\) 10.9292 18.9300i 0.426715 0.739091i
\(657\) 5.07998 8.79878i 0.198189 0.343273i
\(658\) 5.18604 15.9610i 0.202173 0.622224i
\(659\) −1.29980 0.276281i −0.0506330 0.0107624i 0.182526 0.983201i \(-0.441573\pi\)
−0.233159 + 0.972439i \(0.574906\pi\)
\(660\) 2.89913 3.21982i 0.112849 0.125331i
\(661\) −32.2838 14.3737i −1.25570 0.559072i −0.332391 0.943142i \(-0.607855\pi\)
−0.923304 + 0.384070i \(0.874522\pi\)
\(662\) −7.85166 + 24.1649i −0.305163 + 0.939197i
\(663\) −67.5983 + 1.82061i −2.62530 + 0.0707067i
\(664\) −26.1882 19.0268i −1.01630 0.738383i
\(665\) 40.9135 45.4391i 1.58656 1.76205i
\(666\) 8.26820 78.6667i 0.320386 3.04827i
\(667\) −2.22157 + 0.989108i −0.0860197 + 0.0382984i
\(668\) 2.12010 + 6.52500i 0.0820291 + 0.252460i
\(669\) −58.3685 + 25.9873i −2.25666 + 1.00473i
\(670\) 3.54356 + 33.7147i 0.136900 + 1.30251i
\(671\) 4.93343 15.1835i 0.190453 0.586153i
\(672\) 2.04267 + 19.4347i 0.0787976 + 0.749709i
\(673\) −1.85511 + 2.06031i −0.0715092 + 0.0794190i −0.777838 0.628465i \(-0.783683\pi\)
0.706329 + 0.707884i \(0.250350\pi\)
\(674\) 10.4113 11.5629i 0.401029 0.445388i
\(675\) −6.42407 + 19.7712i −0.247262 + 0.760995i
\(676\) −4.80840 0.754220i −0.184938 0.0290085i
\(677\) 20.1784 0.775517 0.387759 0.921761i \(-0.373249\pi\)
0.387759 + 0.921761i \(0.373249\pi\)
\(678\) −4.31410 + 0.916991i −0.165682 + 0.0352168i
\(679\) 0.260059 2.47429i 0.00998014 0.0949546i
\(680\) 5.65110 + 53.7666i 0.216710 + 2.06186i
\(681\) 16.9595 0.649889
\(682\) −11.0298 3.12510i −0.422354 0.119666i
\(683\) 9.04796 15.6715i 0.346211 0.599654i −0.639362 0.768906i \(-0.720802\pi\)
0.985573 + 0.169251i \(0.0541350\pi\)
\(684\) 7.79643 5.66444i 0.298104 0.216585i
\(685\) 65.3085 29.0772i 2.49531 1.11098i
\(686\) −12.3294 + 2.62069i −0.470737 + 0.100058i
\(687\) 27.0595 + 46.8684i 1.03238 + 1.78814i
\(688\) 30.4608 1.16131
\(689\) −17.5577 + 13.4933i −0.668896 + 0.514056i
\(690\) 2.34922 + 7.23014i 0.0894331 + 0.275247i
\(691\) 24.4529 27.1577i 0.930232 1.03313i −0.0691374 0.997607i \(-0.522025\pi\)
0.999369 0.0355197i \(-0.0113087\pi\)
\(692\) 7.62831 + 3.39634i 0.289985 + 0.129110i
\(693\) 13.7812 + 15.3055i 0.523503 + 0.581409i
\(694\) −4.26594 + 3.09939i −0.161933 + 0.117651i
\(695\) −9.21847 + 4.10433i −0.349676 + 0.155686i
\(696\) 28.6936 + 6.09901i 1.08763 + 0.231183i
\(697\) −26.2330 19.0594i −0.993647 0.721927i
\(698\) 26.9811 12.0128i 1.02125 0.454690i
\(699\) −36.1043 + 40.0979i −1.36559 + 1.51664i
\(700\) −0.661891 + 6.29748i −0.0250171 + 0.238022i
\(701\) −6.11405 + 4.44212i −0.230925 + 0.167777i −0.697231 0.716847i \(-0.745585\pi\)
0.466306 + 0.884624i \(0.345585\pi\)
\(702\) 21.4932 + 8.88398i 0.811208 + 0.335304i
\(703\) 52.1857 37.9151i 1.96822 1.43000i
\(704\) 5.35944 5.95226i 0.201991 0.224334i
\(705\) −18.5327 + 20.5827i −0.697983 + 0.775189i
\(706\) 11.2938 + 12.5431i 0.425049 + 0.472065i
\(707\) 8.22319 0.309265
\(708\) −3.70330 + 6.41430i −0.139178 + 0.241064i
\(709\) 17.3068 + 19.2212i 0.649971 + 0.721866i 0.974594 0.223977i \(-0.0719042\pi\)
−0.324623 + 0.945843i \(0.605238\pi\)
\(710\) −18.9057 13.7358i −0.709518 0.515495i
\(711\) 2.45655 + 23.3725i 0.0921278 + 0.876537i
\(712\) 3.81430 + 6.60656i 0.142947 + 0.247591i
\(713\) 2.27461 2.21048i 0.0851847 0.0827832i
\(714\) 98.4216 3.68334
\(715\) 7.95662 + 12.9623i 0.297561 + 0.484763i
\(716\) −6.73043 4.88995i −0.251528 0.182746i
\(717\) −21.8061 + 4.63504i −0.814365 + 0.173099i
\(718\) 11.0281 + 19.1013i 0.411566 + 0.712854i
\(719\) 12.7641 22.1080i 0.476019 0.824489i −0.523604 0.851962i \(-0.675413\pi\)
0.999623 + 0.0274732i \(0.00874608\pi\)
\(720\) 20.3480 62.6249i 0.758327 2.33389i
\(721\) 17.7840 + 3.78011i 0.662312 + 0.140779i
\(722\) 20.1130 + 4.27514i 0.748527 + 0.159104i
\(723\) 30.2487 21.9769i 1.12496 0.817331i
\(724\) −6.39936 7.10721i −0.237831 0.264138i
\(725\) 19.3672 + 8.62282i 0.719278 + 0.320243i
\(726\) 4.07158 38.7385i 0.151110 1.43772i
\(727\) 3.77441 + 11.6164i 0.139985 + 0.430830i 0.996332 0.0855711i \(-0.0272715\pi\)
−0.856347 + 0.516401i \(0.827271\pi\)
\(728\) −30.2469 5.58258i −1.12102 0.206904i
\(729\) 35.5387 + 25.8204i 1.31625 + 0.956309i
\(730\) −7.30702 + 8.11527i −0.270445 + 0.300360i
\(731\) 4.72331 44.9393i 0.174698 1.66214i
\(732\) 1.28273 + 12.2044i 0.0474112 + 0.451087i
\(733\) 3.34512 10.2952i 0.123555 0.380263i −0.870080 0.492910i \(-0.835933\pi\)
0.993635 + 0.112648i \(0.0359331\pi\)
\(734\) 2.76622 + 26.3188i 0.102103 + 0.971444i
\(735\) −38.9512 8.27932i −1.43674 0.305387i
\(736\) −0.368209 1.13323i −0.0135723 0.0417714i
\(737\) −6.23093 6.92014i −0.229519 0.254907i
\(738\) 16.5386 + 28.6457i 0.608795 + 1.05446i
\(739\) −13.9811 24.2161i −0.514305 0.890802i −0.999862 0.0165972i \(-0.994717\pi\)
0.485558 0.874205i \(-0.338617\pi\)
\(740\) −4.14265 + 12.7498i −0.152287 + 0.468690i
\(741\) 18.8174 + 53.0128i 0.691273 + 1.94748i
\(742\) 26.0739 18.9438i 0.957202 0.695448i
\(743\) 4.21226 + 7.29585i 0.154533 + 0.267659i 0.932889 0.360164i \(-0.117279\pi\)
−0.778356 + 0.627823i \(0.783946\pi\)
\(744\) −37.8711 + 5.44441i −1.38842 + 0.199602i
\(745\) 10.5645 18.2983i 0.387055 0.670399i
\(746\) 13.9620 10.1440i 0.511184 0.371397i
\(747\) 53.4307 23.7889i 1.95493 0.870390i
\(748\) 2.28858 + 2.54173i 0.0836790 + 0.0929349i
\(749\) 21.3864 0.781441
\(750\) −0.225484 + 0.390549i −0.00823350 + 0.0142608i
\(751\) 14.2869 3.03677i 0.521336 0.110813i 0.0602750 0.998182i \(-0.480802\pi\)
0.461061 + 0.887368i \(0.347469\pi\)
\(752\) 9.86204 10.9529i 0.359632 0.399411i
\(753\) 12.4629 + 38.3570i 0.454175 + 1.39781i
\(754\) 11.3012 20.8513i 0.411566 0.759361i
\(755\) −4.79379 + 14.7538i −0.174464 + 0.536945i
\(756\) −4.87596