Properties

Label 224.2.bd.a.37.9
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.9
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.760837 + 1.19211i) q^{2} +(-1.44087 + 1.87778i) q^{3} +(-0.842255 - 1.81400i) q^{4} +(-2.75892 + 2.11700i) q^{5} +(-1.14225 - 3.14636i) q^{6} +(-1.14468 - 2.38531i) q^{7} +(2.80331 + 0.376098i) q^{8} +(-0.673491 - 2.51350i) q^{9} +O(q^{10})\) \(q+(-0.760837 + 1.19211i) q^{2} +(-1.44087 + 1.87778i) q^{3} +(-0.842255 - 1.81400i) q^{4} +(-2.75892 + 2.11700i) q^{5} +(-1.14225 - 3.14636i) q^{6} +(-1.14468 - 2.38531i) q^{7} +(2.80331 + 0.376098i) q^{8} +(-0.673491 - 2.51350i) q^{9} +(-0.424604 - 4.89963i) q^{10} +(2.68201 - 0.353093i) q^{11} +(4.61988 + 1.03217i) q^{12} +(1.84002 - 0.762162i) q^{13} +(3.71447 + 0.450247i) q^{14} -8.23097i q^{15} +(-2.58121 + 3.05571i) q^{16} +(-6.86527 + 3.96366i) q^{17} +(3.50879 + 1.10949i) q^{18} +(0.226114 - 1.71751i) q^{19} +(6.16395 + 3.22164i) q^{20} +(6.12843 + 1.28747i) q^{21} +(-1.61964 + 3.46589i) q^{22} +(-1.20290 - 4.48927i) q^{23} +(-4.74544 + 4.72209i) q^{24} +(1.83589 - 6.85163i) q^{25} +(-0.491375 + 2.77339i) q^{26} +(-0.869948 - 0.360344i) q^{27} +(-3.36285 + 4.08549i) q^{28} +(0.0946303 + 0.228458i) q^{29} +(9.81223 + 6.26242i) q^{30} +(-4.72355 - 8.18143i) q^{31} +(-1.67886 - 5.40198i) q^{32} +(-3.20140 + 5.54498i) q^{33} +(0.498221 - 11.1999i) q^{34} +(8.20778 + 4.15761i) q^{35} +(-3.99225 + 3.33872i) q^{36} +(-3.74651 + 2.87479i) q^{37} +(1.87542 + 1.57629i) q^{38} +(-1.22006 + 4.55333i) q^{39} +(-8.53032 + 4.89697i) q^{40} +(0.823484 - 0.823484i) q^{41} +(-6.19754 + 6.32621i) q^{42} +(-2.05302 + 4.95643i) q^{43} +(-2.89945 - 4.56777i) q^{44} +(7.17918 + 5.50878i) q^{45} +(6.26691 + 1.98162i) q^{46} +(0.844781 + 0.487734i) q^{47} +(-2.01875 - 9.24983i) q^{48} +(-4.37942 + 5.46083i) q^{49} +(6.77109 + 7.40155i) q^{50} +(2.44908 - 18.6026i) q^{51} +(-2.93233 - 2.69587i) q^{52} +(-7.52554 + 0.990756i) q^{53} +(1.09146 - 0.762911i) q^{54} +(-6.65195 + 6.65195i) q^{55} +(-2.31178 - 7.11728i) q^{56} +(2.89930 + 2.89930i) q^{57} +(-0.344345 - 0.0610092i) q^{58} +(0.187527 + 1.42441i) q^{59} +(-14.9310 + 6.93258i) q^{60} +(-5.51757 - 0.726402i) q^{61} +(13.3470 + 0.593736i) q^{62} +(-5.22455 + 4.48364i) q^{63} +(7.71710 + 2.10864i) q^{64} +(-3.46298 + 5.99807i) q^{65} +(-4.17449 - 8.03524i) q^{66} +(-7.06937 + 9.21298i) q^{67} +(12.9724 + 9.11520i) q^{68} +(10.1631 + 4.20969i) q^{69} +(-11.2011 + 6.62132i) q^{70} +(-0.823109 - 0.823109i) q^{71} +(-0.942681 - 7.29942i) q^{72} +(13.8498 + 3.71104i) q^{73} +(-0.576595 - 6.65350i) q^{74} +(10.2206 + 13.3197i) q^{75} +(-3.30601 + 1.03641i) q^{76} +(-3.91227 - 5.99324i) q^{77} +(-4.49981 - 4.91879i) q^{78} +(-0.377642 - 0.218032i) q^{79} +(0.652444 - 13.8949i) q^{80} +(8.69076 - 5.01761i) q^{81} +(0.355147 + 1.60822i) q^{82} +(-8.69345 + 3.60095i) q^{83} +(-2.82623 - 12.2014i) q^{84} +(10.5497 - 25.4692i) q^{85} +(-4.34660 - 6.21846i) q^{86} +(-0.565344 - 0.151483i) q^{87} +(7.65129 + 0.0188683i) q^{88} +(6.94761 - 1.86161i) q^{89} +(-12.0293 + 4.36710i) q^{90} +(-3.92423 - 3.51659i) q^{91} +(-7.13040 + 5.96317i) q^{92} +(22.1690 + 2.91860i) q^{93} +(-1.22417 + 0.635986i) q^{94} +(3.01212 + 5.21715i) q^{95} +(12.5628 + 4.63103i) q^{96} -9.00485 q^{97} +(-3.17790 - 9.37555i) q^{98} +(-2.69381 - 6.50342i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.760837 + 1.19211i −0.537993 + 0.842949i
\(3\) −1.44087 + 1.87778i −0.831887 + 1.08414i 0.163341 + 0.986570i \(0.447773\pi\)
−0.995229 + 0.0975672i \(0.968894\pi\)
\(4\) −0.842255 1.81400i −0.421128 0.907001i
\(5\) −2.75892 + 2.11700i −1.23383 + 0.946749i −0.999676 0.0254506i \(-0.991898\pi\)
−0.234152 + 0.972200i \(0.575231\pi\)
\(6\) −1.14225 3.14636i −0.466323 1.28450i
\(7\) −1.14468 2.38531i −0.432648 0.901563i
\(8\) 2.80331 + 0.376098i 0.991120 + 0.132971i
\(9\) −0.673491 2.51350i −0.224497 0.837834i
\(10\) −0.424604 4.89963i −0.134272 1.54940i
\(11\) 2.68201 0.353093i 0.808655 0.106461i 0.285149 0.958483i \(-0.407957\pi\)
0.523506 + 0.852022i \(0.324624\pi\)
\(12\) 4.61988 + 1.03217i 1.33364 + 0.297963i
\(13\) 1.84002 0.762162i 0.510330 0.211386i −0.112633 0.993637i \(-0.535929\pi\)
0.622963 + 0.782251i \(0.285929\pi\)
\(14\) 3.71447 + 0.450247i 0.992734 + 0.120334i
\(15\) 8.23097i 2.12523i
\(16\) −2.58121 + 3.05571i −0.645303 + 0.763927i
\(17\) −6.86527 + 3.96366i −1.66507 + 0.961330i −0.694836 + 0.719168i \(0.744523\pi\)
−0.970236 + 0.242161i \(0.922144\pi\)
\(18\) 3.50879 + 1.10949i 0.827029 + 0.261509i
\(19\) 0.226114 1.71751i 0.0518741 0.394023i −0.945736 0.324935i \(-0.894658\pi\)
0.997611 0.0690882i \(-0.0220090\pi\)
\(20\) 6.16395 + 3.22164i 1.37830 + 0.720381i
\(21\) 6.12843 + 1.28747i 1.33733 + 0.280949i
\(22\) −1.61964 + 3.46589i −0.345309 + 0.738931i
\(23\) −1.20290 4.48927i −0.250821 0.936077i −0.970368 0.241633i \(-0.922317\pi\)
0.719546 0.694444i \(-0.244350\pi\)
\(24\) −4.74544 + 4.72209i −0.968659 + 0.963893i
\(25\) 1.83589 6.85163i 0.367178 1.37033i
\(26\) −0.491375 + 2.77339i −0.0963665 + 0.543907i
\(27\) −0.869948 0.360344i −0.167421 0.0693483i
\(28\) −3.36285 + 4.08549i −0.635518 + 0.772086i
\(29\) 0.0946303 + 0.228458i 0.0175724 + 0.0424235i 0.932422 0.361371i \(-0.117691\pi\)
−0.914850 + 0.403794i \(0.867691\pi\)
\(30\) 9.81223 + 6.26242i 1.79146 + 1.14336i
\(31\) −4.72355 8.18143i −0.848375 1.46943i −0.882658 0.470016i \(-0.844248\pi\)
0.0342833 0.999412i \(-0.489085\pi\)
\(32\) −1.67886 5.40198i −0.296783 0.954945i
\(33\) −3.20140 + 5.54498i −0.557291 + 0.965257i
\(34\) 0.498221 11.1999i 0.0854441 1.92076i
\(35\) 8.20778 + 4.15761i 1.38737 + 0.702764i
\(36\) −3.99225 + 3.33872i −0.665375 + 0.556454i
\(37\) −3.74651 + 2.87479i −0.615922 + 0.472613i −0.868986 0.494836i \(-0.835228\pi\)
0.253065 + 0.967449i \(0.418561\pi\)
\(38\) 1.87542 + 1.57629i 0.304233 + 0.255709i
\(39\) −1.22006 + 4.55333i −0.195366 + 0.729117i
\(40\) −8.53032 + 4.89697i −1.34876 + 0.774279i
\(41\) 0.823484 0.823484i 0.128607 0.128607i −0.639874 0.768480i \(-0.721013\pi\)
0.768480 + 0.639874i \(0.221013\pi\)
\(42\) −6.19754 + 6.32621i −0.956301 + 0.976155i
\(43\) −2.05302 + 4.95643i −0.313082 + 0.755848i 0.686505 + 0.727125i \(0.259144\pi\)
−0.999587 + 0.0287228i \(0.990856\pi\)
\(44\) −2.89945 4.56777i −0.437108 0.688618i
\(45\) 7.17918 + 5.50878i 1.07021 + 0.821200i
\(46\) 6.26691 + 1.98162i 0.924006 + 0.292173i
\(47\) 0.844781 + 0.487734i 0.123224 + 0.0711434i 0.560345 0.828259i \(-0.310669\pi\)
−0.437121 + 0.899403i \(0.644002\pi\)
\(48\) −2.01875 9.24983i −0.291382 1.33510i
\(49\) −4.37942 + 5.46083i −0.625631 + 0.780119i
\(50\) 6.77109 + 7.40155i 0.957577 + 1.04674i
\(51\) 2.44908 18.6026i 0.342939 2.60488i
\(52\) −2.93233 2.69587i −0.406641 0.373850i
\(53\) −7.52554 + 0.990756i −1.03371 + 0.136091i −0.628242 0.778018i \(-0.716225\pi\)
−0.405470 + 0.914108i \(0.632892\pi\)
\(54\) 1.09146 0.762911i 0.148529 0.103819i
\(55\) −6.65195 + 6.65195i −0.896949 + 0.896949i
\(56\) −2.31178 7.11728i −0.308925 0.951086i
\(57\) 2.89930 + 2.89930i 0.384021 + 0.384021i
\(58\) −0.344345 0.0610092i −0.0452147 0.00801091i
\(59\) 0.187527 + 1.42441i 0.0244139 + 0.185442i 0.999307 0.0372330i \(-0.0118544\pi\)
−0.974893 + 0.222675i \(0.928521\pi\)
\(60\) −14.9310 + 6.93258i −1.92758 + 0.894992i
\(61\) −5.51757 0.726402i −0.706452 0.0930062i −0.231265 0.972891i \(-0.574286\pi\)
−0.475187 + 0.879885i \(0.657620\pi\)
\(62\) 13.3470 + 0.593736i 1.69507 + 0.0754046i
\(63\) −5.22455 + 4.48364i −0.658232 + 0.564885i
\(64\) 7.71710 + 2.10864i 0.964638 + 0.263580i
\(65\) −3.46298 + 5.99807i −0.429530 + 0.743968i
\(66\) −4.17449 8.03524i −0.513844 0.989070i
\(67\) −7.06937 + 9.21298i −0.863661 + 1.12554i 0.127363 + 0.991856i \(0.459349\pi\)
−0.991023 + 0.133688i \(0.957318\pi\)
\(68\) 12.9724 + 9.11520i 1.57314 + 1.10538i
\(69\) 10.1631 + 4.20969i 1.22349 + 0.506787i
\(70\) −11.2011 + 6.62132i −1.33879 + 0.791399i
\(71\) −0.823109 0.823109i −0.0976851 0.0976851i 0.656575 0.754260i \(-0.272004\pi\)
−0.754260 + 0.656575i \(0.772004\pi\)
\(72\) −0.942681 7.29942i −0.111096 0.860245i
\(73\) 13.8498 + 3.71104i 1.62100 + 0.434345i 0.951294 0.308285i \(-0.0997552\pi\)
0.669702 + 0.742630i \(0.266422\pi\)
\(74\) −0.576595 6.65350i −0.0670278 0.773453i
\(75\) 10.2206 + 13.3197i 1.18017 + 1.53803i
\(76\) −3.30601 + 1.03641i −0.379225 + 0.118884i
\(77\) −3.91227 5.99324i −0.445845 0.682993i
\(78\) −4.49981 4.91879i −0.509503 0.556943i
\(79\) −0.377642 0.218032i −0.0424880 0.0245305i 0.478606 0.878030i \(-0.341142\pi\)
−0.521094 + 0.853500i \(0.674476\pi\)
\(80\) 0.652444 13.8949i 0.0729455 1.55349i
\(81\) 8.69076 5.01761i 0.965640 0.557513i
\(82\) 0.355147 + 1.60822i 0.0392194 + 0.177598i
\(83\) −8.69345 + 3.60095i −0.954230 + 0.395255i −0.804819 0.593520i \(-0.797738\pi\)
−0.149411 + 0.988775i \(0.547738\pi\)
\(84\) −2.82623 12.2014i −0.308367 1.33128i
\(85\) 10.5497 25.4692i 1.14427 2.76252i
\(86\) −4.34660 6.21846i −0.468706 0.670553i
\(87\) −0.565344 0.151483i −0.0606112 0.0162407i
\(88\) 7.65129 + 0.0188683i 0.815631 + 0.00201137i
\(89\) 6.94761 1.86161i 0.736445 0.197330i 0.128948 0.991651i \(-0.458840\pi\)
0.607498 + 0.794322i \(0.292173\pi\)
\(90\) −12.0293 + 4.36710i −1.26800 + 0.460332i
\(91\) −3.92423 3.51659i −0.411371 0.368639i
\(92\) −7.13040 + 5.96317i −0.743396 + 0.621703i
\(93\) 22.1690 + 2.91860i 2.29881 + 0.302644i
\(94\) −1.22417 + 0.635986i −0.126264 + 0.0655969i
\(95\) 3.01212 + 5.21715i 0.309037 + 0.535268i
\(96\) 12.5628 + 4.63103i 1.28218 + 0.472653i
\(97\) −9.00485 −0.914304 −0.457152 0.889389i \(-0.651131\pi\)
−0.457152 + 0.889389i \(0.651131\pi\)
\(98\) −3.17790 9.37555i −0.321016 0.947074i
\(99\) −2.69381 6.50342i −0.270738 0.653618i
\(100\) −13.9752 + 2.44052i −1.39752 + 0.244052i
\(101\) 1.14590 + 8.70397i 0.114021 + 0.866077i 0.948885 + 0.315621i \(0.102213\pi\)
−0.834864 + 0.550456i \(0.814454\pi\)
\(102\) 20.3130 + 17.0731i 2.01129 + 1.69049i
\(103\) 16.7898 4.49881i 1.65435 0.443281i 0.693521 0.720437i \(-0.256059\pi\)
0.960825 + 0.277156i \(0.0893918\pi\)
\(104\) 5.44480 1.44455i 0.533907 0.141650i
\(105\) −19.6334 + 9.42183i −1.91603 + 0.919476i
\(106\) 4.54461 9.72508i 0.441412 0.944583i
\(107\) −1.12333 1.46395i −0.108596 0.141526i 0.735893 0.677098i \(-0.236763\pi\)
−0.844489 + 0.535572i \(0.820096\pi\)
\(108\) 0.0790529 + 1.88159i 0.00760687 + 0.181056i
\(109\) −6.62330 5.08224i −0.634398 0.486790i 0.240788 0.970578i \(-0.422594\pi\)
−0.875186 + 0.483787i \(0.839261\pi\)
\(110\) −2.86881 12.9909i −0.273531 1.23863i
\(111\) 11.1773i 1.06090i
\(112\) 10.2435 + 2.65919i 0.967917 + 0.251269i
\(113\) 0.411718i 0.0387312i −0.999812 0.0193656i \(-0.993835\pi\)
0.999812 0.0193656i \(-0.00616464\pi\)
\(114\) −5.66217 + 1.25039i −0.530311 + 0.117110i
\(115\) 12.8225 + 9.83902i 1.19570 + 0.917494i
\(116\) 0.334720 0.364079i 0.0310780 0.0338039i
\(117\) −3.15493 4.11159i −0.291674 0.380116i
\(118\) −1.84073 0.860189i −0.169453 0.0791869i
\(119\) 17.3131 + 11.8387i 1.58709 + 1.08525i
\(120\) 3.09565 23.0740i 0.282593 2.10636i
\(121\) −3.55670 + 0.953015i −0.323336 + 0.0866377i
\(122\) 5.06392 6.02488i 0.458466 0.545467i
\(123\) 0.359787 + 2.73286i 0.0324409 + 0.246413i
\(124\) −10.8627 + 15.4594i −0.975499 + 1.38829i
\(125\) 2.78580 + 6.72552i 0.249170 + 0.601549i
\(126\) −1.36996 9.63956i −0.122046 0.858760i
\(127\) −11.2634 −0.999464 −0.499732 0.866180i \(-0.666568\pi\)
−0.499732 + 0.866180i \(0.666568\pi\)
\(128\) −8.38518 + 7.59531i −0.741153 + 0.671337i
\(129\) −6.34894 10.9967i −0.558993 0.968205i
\(130\) −4.51559 8.69181i −0.396044 0.762322i
\(131\) −14.7315 1.93944i −1.28710 0.169450i −0.544257 0.838919i \(-0.683188\pi\)
−0.742840 + 0.669469i \(0.766522\pi\)
\(132\) 12.7550 + 1.13705i 1.11018 + 0.0989676i
\(133\) −4.35561 + 1.42664i −0.377680 + 0.123706i
\(134\) −5.60426 15.4370i −0.484134 1.33356i
\(135\) 3.16297 0.847514i 0.272225 0.0729424i
\(136\) −20.7362 + 8.52937i −1.77811 + 0.731387i
\(137\) −6.28819 1.68492i −0.537236 0.143952i −0.0200085 0.999800i \(-0.506369\pi\)
−0.517228 + 0.855848i \(0.673036\pi\)
\(138\) −12.7509 + 8.91263i −1.08542 + 0.758694i
\(139\) 0.00331720 0.00800842i 0.000281361 0.000679266i −0.923739 0.383023i \(-0.874883\pi\)
0.924020 + 0.382344i \(0.124883\pi\)
\(140\) 0.628864 18.3907i 0.0531487 1.55430i
\(141\) −2.13308 + 0.883550i −0.179638 + 0.0744083i
\(142\) 1.60749 0.354986i 0.134897 0.0297897i
\(143\) 4.66584 2.69382i 0.390177 0.225269i
\(144\) 9.41895 + 4.42989i 0.784912 + 0.369157i
\(145\) −0.744722 0.429965i −0.0618458 0.0357067i
\(146\) −14.9614 + 13.6870i −1.23821 + 1.13274i
\(147\) −3.94407 16.0919i −0.325302 1.32724i
\(148\) 8.37040 + 4.37486i 0.688043 + 0.359611i
\(149\) −8.39232 10.9371i −0.687525 0.896001i 0.310993 0.950412i \(-0.399338\pi\)
−0.998519 + 0.0544116i \(0.982672\pi\)
\(150\) −23.6548 + 2.04993i −1.93140 + 0.167376i
\(151\) 4.06949 + 1.09042i 0.331170 + 0.0887368i 0.420573 0.907259i \(-0.361829\pi\)
−0.0894026 + 0.995996i \(0.528496\pi\)
\(152\) 1.27982 4.72966i 0.103807 0.383626i
\(153\) 14.5864 + 14.5864i 1.17924 + 1.17924i
\(154\) 10.1212 0.103988i 0.815590 0.00837956i
\(155\) 30.3520 + 12.5722i 2.43793 + 1.00982i
\(156\) 9.28736 1.62187i 0.743584 0.129854i
\(157\) 9.39972 12.2500i 0.750180 0.977653i −0.249777 0.968303i \(-0.580357\pi\)
0.999956 0.00934970i \(-0.00297615\pi\)
\(158\) 0.547241 0.284304i 0.0435362 0.0226180i
\(159\) 8.98291 15.5589i 0.712391 1.23390i
\(160\) 16.0678 + 11.3495i 1.27027 + 0.897258i
\(161\) −9.33137 + 8.00806i −0.735415 + 0.631123i
\(162\) −0.630699 + 14.1779i −0.0495524 + 1.11392i
\(163\) 5.81892 + 0.766076i 0.455773 + 0.0600037i 0.354918 0.934897i \(-0.384509\pi\)
0.100855 + 0.994901i \(0.467842\pi\)
\(164\) −2.18739 0.800218i −0.170806 0.0624865i
\(165\) −2.90630 22.0755i −0.226255 1.71858i
\(166\) 2.32157 13.1033i 0.180189 1.01701i
\(167\) −3.20407 3.20407i −0.247938 0.247938i 0.572186 0.820124i \(-0.306096\pi\)
−0.820124 + 0.572186i \(0.806096\pi\)
\(168\) 16.6957 + 5.91406i 1.28810 + 0.456280i
\(169\) −6.38760 + 6.38760i −0.491354 + 0.491354i
\(170\) 22.3355 + 31.9543i 1.71305 + 2.45078i
\(171\) −4.46924 + 0.588386i −0.341771 + 0.0449950i
\(172\) 10.7201 0.450395i 0.817403 0.0343423i
\(173\) −2.02443 + 15.3771i −0.153915 + 1.16910i 0.723832 + 0.689976i \(0.242379\pi\)
−0.877747 + 0.479124i \(0.840954\pi\)
\(174\) 0.610719 0.558698i 0.0462985 0.0423548i
\(175\) −18.4448 + 3.46376i −1.39429 + 0.261835i
\(176\) −5.84388 + 9.10683i −0.440499 + 0.686453i
\(177\) −2.94493 1.70026i −0.221354 0.127799i
\(178\) −3.06675 + 9.69870i −0.229863 + 0.726948i
\(179\) 6.63005 + 5.08741i 0.495553 + 0.380251i 0.826087 0.563543i \(-0.190562\pi\)
−0.330534 + 0.943794i \(0.607229\pi\)
\(180\) 3.94624 17.6629i 0.294135 1.31651i
\(181\) −6.21583 + 15.0064i −0.462019 + 1.11541i 0.505548 + 0.862799i \(0.331290\pi\)
−0.967567 + 0.252615i \(0.918710\pi\)
\(182\) 7.17786 2.00256i 0.532059 0.148440i
\(183\) 9.31413 9.31413i 0.688520 0.688520i
\(184\) −1.68369 13.0372i −0.124123 0.961117i
\(185\) 4.25039 15.8627i 0.312495 1.16625i
\(186\) −20.3462 + 24.2073i −1.49186 + 1.77496i
\(187\) −17.0131 + 13.0546i −1.24412 + 0.954650i
\(188\) 0.173230 1.94323i 0.0126341 0.141725i
\(189\) 0.136279 + 2.48757i 0.00991282 + 0.180944i
\(190\) −8.51115 0.378615i −0.617464 0.0274676i
\(191\) −7.87208 + 13.6348i −0.569604 + 0.986583i 0.427001 + 0.904251i \(0.359570\pi\)
−0.996605 + 0.0823317i \(0.973763\pi\)
\(192\) −15.0789 + 11.4527i −1.08823 + 0.826530i
\(193\) 7.16214 + 12.4052i 0.515542 + 0.892945i 0.999837 + 0.0180405i \(0.00574277\pi\)
−0.484295 + 0.874905i \(0.660924\pi\)
\(194\) 6.85122 10.7348i 0.491889 0.770712i
\(195\) −6.27333 15.1452i −0.449243 1.08457i
\(196\) 13.5946 + 3.34485i 0.971040 + 0.238918i
\(197\) 8.63148 + 3.57528i 0.614967 + 0.254728i 0.668351 0.743846i \(-0.267001\pi\)
−0.0533834 + 0.998574i \(0.517001\pi\)
\(198\) 9.80234 + 1.73673i 0.696622 + 0.123424i
\(199\) 2.44416 9.12172i 0.173262 0.646622i −0.823579 0.567201i \(-0.808026\pi\)
0.996841 0.0794207i \(-0.0253070\pi\)
\(200\) 7.72345 18.5168i 0.546130 1.30933i
\(201\) −7.11390 26.5494i −0.501776 1.87265i
\(202\) −11.2479 5.25626i −0.791402 0.369829i
\(203\) 0.436621 0.487234i 0.0306448 0.0341971i
\(204\) −35.8079 + 11.2255i −2.50705 + 0.785942i
\(205\) −0.528616 + 4.01524i −0.0369202 + 0.280437i
\(206\) −7.41120 + 23.4381i −0.516363 + 1.63301i
\(207\) −10.4736 + 6.04696i −0.727969 + 0.420293i
\(208\) −2.42054 + 7.58987i −0.167834 + 0.526263i
\(209\) 4.68620i 0.324151i
\(210\) 3.70597 30.5737i 0.255736 2.10978i
\(211\) 10.7623 4.45790i 0.740908 0.306894i 0.0198823 0.999802i \(-0.493671\pi\)
0.721026 + 0.692908i \(0.243671\pi\)
\(212\) 8.13566 + 12.8169i 0.558759 + 0.880267i
\(213\) 2.73161 0.359624i 0.187167 0.0246410i
\(214\) 2.59986 0.225305i 0.177723 0.0154015i
\(215\) −4.82861 18.0206i −0.329309 1.22900i
\(216\) −2.30321 1.33734i −0.156713 0.0909946i
\(217\) −14.1083 + 20.6323i −0.957734 + 1.40061i
\(218\) 11.0978 4.02896i 0.751641 0.272875i
\(219\) −26.9243 + 20.6597i −1.81937 + 1.39606i
\(220\) 17.6693 + 6.46402i 1.19126 + 0.435804i
\(221\) −9.61129 + 12.5257i −0.646525 + 0.842568i
\(222\) 13.3246 + 8.50412i 0.894289 + 0.570759i
\(223\) −20.9534 −1.40315 −0.701573 0.712597i \(-0.747519\pi\)
−0.701573 + 0.712597i \(0.747519\pi\)
\(224\) −10.9637 + 10.1881i −0.732540 + 0.680724i
\(225\) −18.4580 −1.23054
\(226\) 0.490813 + 0.313250i 0.0326484 + 0.0208371i
\(227\) 0.300327 0.391394i 0.0199334 0.0259777i −0.783280 0.621669i \(-0.786455\pi\)
0.803214 + 0.595691i \(0.203122\pi\)
\(228\) 2.81738 7.70128i 0.186586 0.510030i
\(229\) 13.0467 10.0111i 0.862152 0.661552i −0.0799794 0.996797i \(-0.525485\pi\)
0.942131 + 0.335244i \(0.108819\pi\)
\(230\) −21.4850 + 7.79991i −1.41668 + 0.514311i
\(231\) 16.8911 + 1.28910i 1.11135 + 0.0848163i
\(232\) 0.179356 + 0.676028i 0.0117753 + 0.0443834i
\(233\) −3.09783 11.5613i −0.202946 0.757404i −0.990066 0.140604i \(-0.955095\pi\)
0.787120 0.616800i \(-0.211571\pi\)
\(234\) 7.30186 0.632782i 0.477337 0.0413662i
\(235\) −3.36322 + 0.442776i −0.219392 + 0.0288835i
\(236\) 2.42594 1.53989i 0.157915 0.100238i
\(237\) 0.953548 0.394973i 0.0619396 0.0256562i
\(238\) −27.2854 + 11.6318i −1.76865 + 0.753980i
\(239\) 21.1899i 1.37066i 0.728234 + 0.685329i \(0.240342\pi\)
−0.728234 + 0.685329i \(0.759658\pi\)
\(240\) 25.1514 + 21.2459i 1.62352 + 1.37142i
\(241\) −2.64873 + 1.52924i −0.170620 + 0.0985073i −0.582878 0.812560i \(-0.698073\pi\)
0.412258 + 0.911067i \(0.364740\pi\)
\(242\) 1.56997 4.96507i 0.100921 0.319167i
\(243\) −2.73157 + 20.7484i −0.175231 + 1.33101i
\(244\) 3.32951 + 10.6207i 0.213150 + 0.679921i
\(245\) 0.521906 24.3372i 0.0333433 1.55485i
\(246\) −3.53161 1.65035i −0.225167 0.105222i
\(247\) −0.892963 3.33258i −0.0568179 0.212047i
\(248\) −10.1646 24.7116i −0.645450 1.56919i
\(249\) 5.76436 21.5129i 0.365302 1.36332i
\(250\) −10.1371 1.79604i −0.641127 0.113591i
\(251\) −1.84890 0.765839i −0.116701 0.0483393i 0.323569 0.946205i \(-0.395117\pi\)
−0.440270 + 0.897865i \(0.645117\pi\)
\(252\) 12.5337 + 5.70098i 0.789551 + 0.359128i
\(253\) −4.81130 11.6155i −0.302484 0.730261i
\(254\) 8.56960 13.4272i 0.537705 0.842498i
\(255\) 32.6248 + 56.5078i 2.04304 + 3.53866i
\(256\) −2.67469 15.7749i −0.167168 0.985928i
\(257\) −4.12526 + 7.14516i −0.257327 + 0.445703i −0.965525 0.260311i \(-0.916175\pi\)
0.708198 + 0.706014i \(0.249508\pi\)
\(258\) 17.9398 + 0.798043i 1.11688 + 0.0496840i
\(259\) 11.1458 + 5.64586i 0.692568 + 0.350817i
\(260\) 13.7972 + 1.22996i 0.855668 + 0.0762789i
\(261\) 0.510496 0.391718i 0.0315989 0.0242467i
\(262\) 13.5203 16.0860i 0.835286 0.993795i
\(263\) −2.34212 + 8.74090i −0.144421 + 0.538987i 0.855359 + 0.518035i \(0.173336\pi\)
−0.999780 + 0.0209518i \(0.993330\pi\)
\(264\) −11.0600 + 14.3403i −0.680694 + 0.882582i
\(265\) 18.6650 18.6650i 1.14658 1.14658i
\(266\) 1.61319 6.27781i 0.0989113 0.384917i
\(267\) −6.51492 + 15.7284i −0.398707 + 0.962563i
\(268\) 22.6666 + 5.06417i 1.38458 + 0.309343i
\(269\) 4.43119 + 3.40017i 0.270174 + 0.207312i 0.734959 0.678112i \(-0.237201\pi\)
−0.464784 + 0.885424i \(0.653868\pi\)
\(270\) −1.39617 + 4.41542i −0.0849682 + 0.268714i
\(271\) 5.37806 + 3.10502i 0.326694 + 0.188617i 0.654372 0.756173i \(-0.272933\pi\)
−0.327678 + 0.944789i \(0.606266\pi\)
\(272\) 5.60891 31.2093i 0.340090 1.89234i
\(273\) 12.2577 2.30188i 0.741870 0.139316i
\(274\) 6.79289 6.21427i 0.410373 0.375418i
\(275\) 2.50460 19.0244i 0.151033 1.14721i
\(276\) −0.923528 21.9815i −0.0555899 1.32313i
\(277\) −4.95715 + 0.652622i −0.297846 + 0.0392122i −0.277969 0.960590i \(-0.589661\pi\)
−0.0198780 + 0.999802i \(0.506328\pi\)
\(278\) 0.00702308 + 0.0100476i 0.000421216 + 0.000602613i
\(279\) −17.3828 + 17.3828i −1.04068 + 1.04068i
\(280\) 21.4453 + 14.7420i 1.28160 + 0.881002i
\(281\) 12.7750 + 12.7750i 0.762093 + 0.762093i 0.976700 0.214607i \(-0.0688472\pi\)
−0.214607 + 0.976700i \(0.568847\pi\)
\(282\) 0.569635 3.21510i 0.0339213 0.191457i
\(283\) −2.65472 20.1646i −0.157806 1.19866i −0.868693 0.495352i \(-0.835039\pi\)
0.710886 0.703307i \(-0.248294\pi\)
\(284\) −0.799854 + 2.18639i −0.0474626 + 0.129738i
\(285\) −14.1367 1.86114i −0.837388 0.110244i
\(286\) −0.338605 + 7.61175i −0.0200222 + 0.450092i
\(287\) −2.90689 1.02164i −0.171588 0.0603055i
\(288\) −12.4472 + 7.85800i −0.733458 + 0.463037i
\(289\) 22.9213 39.7008i 1.34831 2.33534i
\(290\) 1.07918 0.560658i 0.0633715 0.0329229i
\(291\) 12.9748 16.9091i 0.760598 0.991231i
\(292\) −4.93323 28.2492i −0.288695 1.65316i
\(293\) −23.9894 9.93674i −1.40148 0.580510i −0.451341 0.892351i \(-0.649054\pi\)
−0.950134 + 0.311841i \(0.899054\pi\)
\(294\) 22.1842 + 7.54157i 1.29381 + 0.439833i
\(295\) −3.53284 3.53284i −0.205690 0.205690i
\(296\) −11.5838 + 6.64989i −0.673296 + 0.386517i
\(297\) −2.46044 0.659273i −0.142769 0.0382549i
\(298\) 19.4234 1.68324i 1.12517 0.0975074i
\(299\) −5.63491 7.34355i −0.325875 0.424689i
\(300\) 15.5537 29.7587i 0.897991 1.71812i
\(301\) 14.1727 0.776433i 0.816899 0.0447528i
\(302\) −4.39611 + 4.02165i −0.252968 + 0.231420i
\(303\) −17.9952 10.3895i −1.03380 0.596864i
\(304\) 4.66455 + 5.12418i 0.267530 + 0.293892i
\(305\) 16.7603 9.67659i 0.959694 0.554080i
\(306\) −28.4864 + 6.29072i −1.62846 + 0.359617i
\(307\) −1.52272 + 0.630732i −0.0869063 + 0.0359978i −0.425713 0.904858i \(-0.639977\pi\)
0.338807 + 0.940856i \(0.389977\pi\)
\(308\) −7.57662 + 12.1447i −0.431718 + 0.692009i
\(309\) −15.7441 + 38.0097i −0.895653 + 2.16230i
\(310\) −38.0803 + 26.6175i −2.16282 + 1.51177i
\(311\) −22.4323 6.01071i −1.27202 0.340836i −0.441214 0.897402i \(-0.645452\pi\)
−0.830804 + 0.556566i \(0.812119\pi\)
\(312\) −5.13271 + 12.3055i −0.290583 + 0.696664i
\(313\) 15.0729 4.03878i 0.851971 0.228285i 0.193695 0.981062i \(-0.437953\pi\)
0.658276 + 0.752777i \(0.271286\pi\)
\(314\) 7.45165 + 20.5257i 0.420521 + 1.15833i
\(315\) 4.92229 23.4304i 0.277339 1.32015i
\(316\) −0.0774390 + 0.868681i −0.00435629 + 0.0488671i
\(317\) 7.27433 + 0.957684i 0.408567 + 0.0537889i 0.332009 0.943276i \(-0.392274\pi\)
0.0765581 + 0.997065i \(0.475607\pi\)
\(318\) 11.7134 + 22.5464i 0.656852 + 1.26434i
\(319\) 0.334466 + 0.579312i 0.0187265 + 0.0324352i
\(320\) −25.7549 + 10.5195i −1.43974 + 0.588058i
\(321\) 4.36755 0.243773
\(322\) −2.44684 17.2169i −0.136357 0.959458i
\(323\) 5.25528 + 12.6874i 0.292412 + 0.705944i
\(324\) −16.4218 11.5390i −0.912322 0.641053i
\(325\) −1.84398 14.0064i −0.102285 0.776935i
\(326\) −5.34050 + 6.35394i −0.295783 + 0.351912i
\(327\) 19.0867 5.11426i 1.05549 0.282819i
\(328\) 2.61819 1.99877i 0.144565 0.110364i
\(329\) 0.196395 2.57336i 0.0108276 0.141874i
\(330\) 28.5277 + 13.3312i 1.57040 + 0.733860i
\(331\) −0.486928 0.634576i −0.0267640 0.0348795i 0.779780 0.626054i \(-0.215331\pi\)
−0.806544 + 0.591175i \(0.798664\pi\)
\(332\) 13.8542 + 12.7370i 0.760350 + 0.699035i
\(333\) 9.74904 + 7.48070i 0.534244 + 0.409940i
\(334\) 6.25738 1.38183i 0.342389 0.0756105i
\(335\) 40.3837i 2.20640i
\(336\) −19.7529 + 15.4034i −1.07761 + 0.840327i
\(337\) 31.5554i 1.71893i −0.511193 0.859466i \(-0.670796\pi\)
0.511193 0.859466i \(-0.329204\pi\)
\(338\) −2.75481 12.4746i −0.149842 0.678531i
\(339\) 0.773116 + 0.593232i 0.0419899 + 0.0322200i
\(340\) −55.0867 + 2.31441i −2.98750 + 0.125516i
\(341\) −15.5574 20.2748i −0.842480 1.09794i
\(342\) 2.69894 5.77549i 0.145942 0.312303i
\(343\) 18.0388 + 4.19536i 0.974005 + 0.226528i
\(344\) −7.61935 + 13.1223i −0.410808 + 0.707505i
\(345\) −36.9510 + 9.90100i −1.98938 + 0.533052i
\(346\) −16.7910 14.1128i −0.902687 0.758710i
\(347\) −4.20229 31.9196i −0.225591 1.71353i −0.611708 0.791084i \(-0.709517\pi\)
0.386117 0.922450i \(-0.373816\pi\)
\(348\) 0.201372 + 1.15312i 0.0107947 + 0.0618139i
\(349\) 12.9498 + 31.2635i 0.693185 + 1.67350i 0.738264 + 0.674512i \(0.235646\pi\)
−0.0450790 + 0.998983i \(0.514354\pi\)
\(350\) 9.90427 24.6236i 0.529406 1.31618i
\(351\) −1.87536 −0.100099
\(352\) −6.41012 13.8954i −0.341660 0.740625i
\(353\) 16.4146 + 28.4310i 0.873664 + 1.51323i 0.858180 + 0.513350i \(0.171596\pi\)
0.0154841 + 0.999880i \(0.495071\pi\)
\(354\) 4.26750 2.21706i 0.226815 0.117836i
\(355\) 4.01341 + 0.528376i 0.213010 + 0.0280433i
\(356\) −9.22862 11.0350i −0.489116 0.584856i
\(357\) −47.1764 + 15.4522i −2.49684 + 0.817817i
\(358\) −11.1091 + 4.03306i −0.587136 + 0.213154i
\(359\) −29.7349 + 7.96745i −1.56935 + 0.420506i −0.935608 0.353040i \(-0.885148\pi\)
−0.633741 + 0.773546i \(0.718481\pi\)
\(360\) 18.0536 + 18.1429i 0.951510 + 0.956215i
\(361\) 15.4539 + 4.14086i 0.813363 + 0.217940i
\(362\) −13.1600 18.8273i −0.691674 0.989543i
\(363\) 3.33520 8.05187i 0.175052 0.422614i
\(364\) −3.07391 + 10.0804i −0.161116 + 0.528358i
\(365\) −46.0668 + 19.0815i −2.41125 + 0.998770i
\(366\) 4.01694 + 18.1900i 0.209969 + 0.950807i
\(367\) 4.58516 2.64724i 0.239343 0.138185i −0.375532 0.926810i \(-0.622540\pi\)
0.614875 + 0.788625i \(0.289207\pi\)
\(368\) 16.8228 + 7.91206i 0.876950 + 0.412444i
\(369\) −2.62444 1.51522i −0.136623 0.0788791i
\(370\) 15.6762 + 17.1358i 0.814967 + 0.890850i
\(371\) 10.9776 + 16.8167i 0.569928 + 0.873077i
\(372\) −13.3776 42.6727i −0.693595 2.21248i
\(373\) 7.79880 + 10.1636i 0.403807 + 0.526251i 0.950351 0.311179i \(-0.100724\pi\)
−0.546545 + 0.837430i \(0.684057\pi\)
\(374\) −2.61836 30.2140i −0.135392 1.56233i
\(375\) −16.6430 4.45948i −0.859442 0.230287i
\(376\) 2.18475 + 1.68499i 0.112670 + 0.0868968i
\(377\) 0.348244 + 0.348244i 0.0179355 + 0.0179355i
\(378\) −3.06915 1.73018i −0.157860 0.0889907i
\(379\) −5.09850 2.11187i −0.261892 0.108479i 0.247874 0.968792i \(-0.420268\pi\)
−0.509766 + 0.860313i \(0.670268\pi\)
\(380\) 6.92695 9.85817i 0.355345 0.505713i
\(381\) 16.2291 21.1502i 0.831442 1.08356i
\(382\) −10.2649 19.7583i −0.525197 1.01092i
\(383\) 3.57816 6.19756i 0.182836 0.316681i −0.760009 0.649912i \(-0.774806\pi\)
0.942845 + 0.333231i \(0.108139\pi\)
\(384\) −2.18035 26.6894i −0.111265 1.36199i
\(385\) 23.4813 + 8.25262i 1.19672 + 0.420592i
\(386\) −20.2376 0.900259i −1.03007 0.0458220i
\(387\) 13.8407 + 1.82216i 0.703561 + 0.0926256i
\(388\) 7.58439 + 16.3348i 0.385039 + 0.829275i
\(389\) 0.357906 + 2.71857i 0.0181466 + 0.137837i 0.998120 0.0612920i \(-0.0195221\pi\)
−0.979973 + 0.199129i \(0.936189\pi\)
\(390\) 22.8277 + 4.04449i 1.15593 + 0.204801i
\(391\) 26.0522 + 26.0522i 1.31751 + 1.31751i
\(392\) −14.3307 + 13.6613i −0.723808 + 0.690001i
\(393\) 24.8680 24.8680i 1.25443 1.25443i
\(394\) −10.8293 + 7.56948i −0.545571 + 0.381345i
\(395\) 1.50346 0.197934i 0.0756471 0.00995913i
\(396\) −9.52835 + 10.3641i −0.478818 + 0.520816i
\(397\) 0.537590 4.08340i 0.0269809 0.204940i −0.972645 0.232297i \(-0.925376\pi\)
0.999626 + 0.0273571i \(0.00870912\pi\)
\(398\) 9.01450 + 9.85385i 0.451856 + 0.493929i
\(399\) 3.59696 10.2345i 0.180073 0.512365i
\(400\) 16.1978 + 23.2954i 0.809888 + 1.16477i
\(401\) 30.4012 + 17.5522i 1.51817 + 0.876513i 0.999772 + 0.0213718i \(0.00680336\pi\)
0.518394 + 0.855142i \(0.326530\pi\)
\(402\) 37.0624 + 11.7192i 1.84850 + 0.584502i
\(403\) −14.9270 11.4539i −0.743567 0.570559i
\(404\) 14.8239 9.40963i 0.737516 0.468146i
\(405\) −13.3549 + 32.2415i −0.663609 + 1.60209i
\(406\) 0.248639 + 0.891206i 0.0123397 + 0.0442298i
\(407\) −9.03308 + 9.03308i −0.447753 + 0.447753i
\(408\) 13.8619 51.2277i 0.686267 2.53615i
\(409\) 2.50492 9.34849i 0.123860 0.462253i −0.875936 0.482427i \(-0.839755\pi\)
0.999796 + 0.0201740i \(0.00642203\pi\)
\(410\) −4.38442 3.68511i −0.216531 0.181995i
\(411\) 12.2244 9.38009i 0.602984 0.462686i
\(412\) −22.3021 26.6676i −1.09875 1.31382i
\(413\) 3.18300 2.07780i 0.156625 0.102242i
\(414\) 0.760085 17.0865i 0.0373561 0.839755i
\(415\) 16.3614 28.3387i 0.803148 1.39109i
\(416\) −7.20633 8.66020i −0.353319 0.424601i
\(417\) 0.0102584 + 0.0177681i 0.000502356 + 0.000870107i
\(418\) 5.58647 + 3.56543i 0.273243 + 0.174391i
\(419\) −3.83604 9.26102i −0.187403 0.452430i 0.802055 0.597250i \(-0.203740\pi\)
−0.989458 + 0.144819i \(0.953740\pi\)
\(420\) 33.6276 + 27.6795i 1.64086 + 1.35062i
\(421\) 21.6933 + 8.98568i 1.05727 + 0.437935i 0.842481 0.538726i \(-0.181094\pi\)
0.214788 + 0.976661i \(0.431094\pi\)
\(422\) −2.87406 + 16.2216i −0.139907 + 0.789655i
\(423\) 0.656969 2.45184i 0.0319429 0.119213i
\(424\) −21.4690 0.0529434i −1.04263 0.00257116i
\(425\) 14.5537 + 54.3151i 0.705958 + 2.63467i
\(426\) −1.64960 + 3.53000i −0.0799234 + 0.171029i
\(427\) 4.58316 + 13.9926i 0.221794 + 0.677150i
\(428\) −1.70948 + 3.27074i −0.0826309 + 0.158097i
\(429\) −1.66446 + 12.6429i −0.0803611 + 0.610403i
\(430\) 25.1564 + 7.95452i 1.21315 + 0.383601i
\(431\) −21.6047 + 12.4735i −1.04066 + 0.600827i −0.920021 0.391869i \(-0.871829\pi\)
−0.120642 + 0.992696i \(0.538495\pi\)
\(432\) 3.34662 1.72818i 0.161015 0.0831471i
\(433\) 27.3257i 1.31319i 0.754243 + 0.656596i \(0.228004\pi\)
−0.754243 + 0.656596i \(0.771996\pi\)
\(434\) −13.8618 32.5164i −0.665389 1.56084i
\(435\) 1.88043 0.778899i 0.0901597 0.0373454i
\(436\) −3.64068 + 16.2952i −0.174357 + 0.780400i
\(437\) −7.98234 + 1.05089i −0.381847 + 0.0502711i
\(438\) −4.14370 47.8154i −0.197994 2.28471i
\(439\) 0.645658 + 2.40963i 0.0308156 + 0.115005i 0.979621 0.200857i \(-0.0643728\pi\)
−0.948805 + 0.315863i \(0.897706\pi\)
\(440\) −21.1493 + 16.1457i −1.00825 + 0.769716i
\(441\) 16.6753 + 7.32985i 0.794062 + 0.349040i
\(442\) −7.61937 20.9877i −0.362416 0.998283i
\(443\) −16.3557 + 12.5501i −0.777081 + 0.596275i −0.919299 0.393560i \(-0.871243\pi\)
0.142218 + 0.989835i \(0.454577\pi\)
\(444\) −20.2757 + 9.41416i −0.962242 + 0.446776i
\(445\) −15.2269 + 19.8441i −0.721825 + 0.940700i
\(446\) 15.9422 24.9788i 0.754883 1.18278i
\(447\) 32.6297 1.54333
\(448\) −3.80385 20.8214i −0.179715 0.983719i
\(449\) −16.6657 −0.786502 −0.393251 0.919431i \(-0.628650\pi\)
−0.393251 + 0.919431i \(0.628650\pi\)
\(450\) 14.0435 22.0040i 0.662019 1.03728i
\(451\) 1.91782 2.49935i 0.0903067 0.117690i
\(452\) −0.746857 + 0.346772i −0.0351292 + 0.0163108i
\(453\) −7.91117 + 6.07045i −0.371699 + 0.285215i
\(454\) 0.238085 + 0.655810i 0.0111739 + 0.0307787i
\(455\) 18.2713 + 1.39443i 0.856570 + 0.0653719i
\(456\) 7.03721 + 9.21805i 0.329548 + 0.431675i
\(457\) −1.00153 3.73775i −0.0468494 0.174844i 0.938537 0.345179i \(-0.112182\pi\)
−0.985386 + 0.170335i \(0.945515\pi\)
\(458\) 2.00792 + 23.1700i 0.0938239 + 1.08266i
\(459\) 7.40071 0.974321i 0.345435 0.0454774i
\(460\) 7.04822 31.5470i 0.328625 1.47088i
\(461\) 14.0710 5.82839i 0.655351 0.271455i −0.0301296 0.999546i \(-0.509592\pi\)
0.685481 + 0.728091i \(0.259592\pi\)
\(462\) −14.3881 + 19.1552i −0.669395 + 0.891182i
\(463\) 25.2657i 1.17420i 0.809515 + 0.587099i \(0.199730\pi\)
−0.809515 + 0.587099i \(0.800270\pi\)
\(464\) −0.942361 0.300535i −0.0437480 0.0139520i
\(465\) −67.3411 + 38.8794i −3.12287 + 1.80299i
\(466\) 16.1393 + 5.10328i 0.747637 + 0.236405i
\(467\) 1.49931 11.3884i 0.0693797 0.526991i −0.921099 0.389327i \(-0.872707\pi\)
0.990479 0.137663i \(-0.0439592\pi\)
\(468\) −4.80117 + 9.18606i −0.221934 + 0.424626i
\(469\) 30.0680 + 6.31673i 1.38841 + 0.291679i
\(470\) 2.03102 4.34621i 0.0936840 0.200476i
\(471\) 9.45894 + 35.3012i 0.435845 + 1.62659i
\(472\) −0.0100209 + 4.06359i −0.000461251 + 0.187042i
\(473\) −3.75613 + 14.0181i −0.172707 + 0.644552i
\(474\) −0.254643 + 1.43724i −0.0116962 + 0.0660148i
\(475\) −11.3526 4.70240i −0.520893 0.215761i
\(476\) 6.89332 41.3772i 0.315955 1.89652i
\(477\) 7.55865 + 18.2482i 0.346087 + 0.835527i
\(478\) −25.2606 16.1220i −1.15540 0.737404i
\(479\) 1.40022 + 2.42526i 0.0639778 + 0.110813i 0.896240 0.443569i \(-0.146288\pi\)
−0.832262 + 0.554382i \(0.812955\pi\)
\(480\) −44.4636 + 13.8187i −2.02947 + 0.630732i
\(481\) −4.70259 + 8.14513i −0.214420 + 0.371386i
\(482\) 0.192221 4.32108i 0.00875544 0.196820i
\(483\) −1.59206 29.0608i −0.0724414 1.32231i
\(484\) 4.72442 + 5.64918i 0.214746 + 0.256781i
\(485\) 24.8437 19.0632i 1.12809 0.865617i
\(486\) −22.6561 19.0425i −1.02770 0.863783i
\(487\) −3.28151 + 12.2468i −0.148699 + 0.554953i 0.850863 + 0.525387i \(0.176079\pi\)
−0.999563 + 0.0295666i \(0.990587\pi\)
\(488\) −15.1943 4.11148i −0.687812 0.186118i
\(489\) −9.82284 + 9.82284i −0.444204 + 0.444204i
\(490\) 28.6156 + 19.1388i 1.29272 + 0.864604i
\(491\) 15.7884 38.1167i 0.712523 1.72018i 0.0189236 0.999821i \(-0.493976\pi\)
0.693599 0.720361i \(-0.256024\pi\)
\(492\) 4.65437 2.95442i 0.209835 0.133195i
\(493\) −1.55519 1.19334i −0.0700423 0.0537454i
\(494\) 4.65221 + 1.47104i 0.209313 + 0.0661852i
\(495\) 21.1997 + 12.2397i 0.952857 + 0.550132i
\(496\) 37.1925 + 6.68421i 1.66999 + 0.300130i
\(497\) −1.02118 + 2.90557i −0.0458060 + 0.130333i
\(498\) 21.2600 + 23.2396i 0.952684 + 1.04139i
\(499\) −1.58992 + 12.0767i −0.0711748 + 0.540626i 0.918296 + 0.395894i \(0.129565\pi\)
−0.989471 + 0.144732i \(0.953768\pi\)
\(500\) 9.85375 10.7181i 0.440673 0.479326i
\(501\) 10.6332 1.39989i 0.475056 0.0625423i
\(502\) 2.31967 1.62141i 0.103532 0.0723672i
\(503\) 18.3719 18.3719i 0.819162 0.819162i −0.166824 0.985987i \(-0.553351\pi\)
0.985987 + 0.166824i \(0.0533513\pi\)
\(504\) −16.3323 + 10.6041i −0.727500 + 0.472344i
\(505\) −21.5877 21.5877i −0.960641 0.960641i
\(506\) 17.5076 + 3.10190i 0.778308 + 0.137896i
\(507\) −2.79080 21.1982i −0.123944 0.941446i
\(508\) 9.48665 + 20.4318i 0.420902 + 0.906516i
\(509\) −20.5602 2.70680i −0.911314 0.119977i −0.339733 0.940522i \(-0.610337\pi\)
−0.571582 + 0.820545i \(0.693670\pi\)
\(510\) −92.1857 4.10084i −4.08205 0.181588i
\(511\) −7.00159 37.2840i −0.309732 1.64935i
\(512\) 20.8404 + 8.81356i 0.921023 + 0.389508i
\(513\) −0.815600 + 1.41266i −0.0360096 + 0.0623705i
\(514\) −5.37917 10.3541i −0.237265 0.456698i
\(515\) −36.7977 + 47.9558i −1.62150 + 2.11318i
\(516\) −14.6006 + 20.7790i −0.642755 + 0.914745i
\(517\) 2.43792 + 1.00982i 0.107220 + 0.0444119i
\(518\) −15.2106 + 8.99148i −0.668317 + 0.395063i
\(519\) −25.9579 25.9579i −1.13942 1.13942i
\(520\) −11.9637 + 15.5120i −0.524642 + 0.680247i
\(521\) −11.2859 3.02404i −0.494444 0.132486i 0.00297645 0.999996i \(-0.499053\pi\)
−0.497420 + 0.867510i \(0.665719\pi\)
\(522\) 0.0785664 + 0.906601i 0.00343876 + 0.0396809i
\(523\) −7.43424 9.68849i −0.325077 0.423648i 0.602014 0.798486i \(-0.294365\pi\)
−0.927091 + 0.374838i \(0.877698\pi\)
\(524\) 8.88954 + 28.3565i 0.388341 + 1.23876i
\(525\) 20.0724 39.6261i 0.876030 1.72942i
\(526\) −8.63815 9.44246i −0.376641 0.411711i
\(527\) 64.8569 + 37.4451i 2.82521 + 1.63114i
\(528\) −8.68035 24.0953i −0.377764 1.04861i
\(529\) 1.21200 0.699749i 0.0526957 0.0304239i
\(530\) 8.04971 + 36.4517i 0.349657 + 1.58336i
\(531\) 3.45396 1.43068i 0.149889 0.0620860i
\(532\) 6.25647 + 6.69950i 0.271252 + 0.290460i
\(533\) 0.887600 2.14286i 0.0384462 0.0928174i
\(534\) −13.7932 19.7333i −0.596891 0.853942i
\(535\) 6.19836 + 1.66085i 0.267978 + 0.0718046i
\(536\) −23.2826 + 23.1681i −1.00566 + 1.00071i
\(537\) −19.1061 + 5.11946i −0.824489 + 0.220921i
\(538\) −7.42479 + 2.69549i −0.320105 + 0.116211i
\(539\) −9.81744 + 16.1923i −0.422867 + 0.697453i
\(540\) −4.20142 5.02380i −0.180800 0.216190i
\(541\) −13.8708 1.82612i −0.596351 0.0785111i −0.173692 0.984800i \(-0.555570\pi\)
−0.422659 + 0.906289i \(0.638903\pi\)
\(542\) −7.79336 + 4.04883i −0.334753 + 0.173912i
\(543\) −19.2224 33.2942i −0.824913 1.42879i
\(544\) 32.9375 + 30.4316i 1.41218 + 1.30474i
\(545\) 29.0323 1.24361
\(546\) −6.58201 + 16.3639i −0.281684 + 0.700310i
\(547\) −9.20321 22.2185i −0.393501 0.949995i −0.989171 0.146766i \(-0.953114\pi\)
0.595670 0.803229i \(-0.296886\pi\)
\(548\) 2.23982 + 12.8259i 0.0956804 + 0.547896i
\(549\) 1.89022 + 14.3576i 0.0806726 + 0.612769i
\(550\) 20.7735 + 17.4602i 0.885787 + 0.744505i
\(551\) 0.413775 0.110871i 0.0176274 0.00472325i
\(552\) 26.9070 + 15.6234i 1.14524 + 0.664975i
\(553\) −0.0877941 + 1.15037i −0.00373339 + 0.0489187i
\(554\) 2.99359 6.40601i 0.127185 0.272165i
\(555\) 23.6623 + 30.8374i 1.00441 + 1.30897i
\(556\) −0.0173212 0.000727733i −0.000734584 3.08627e-5i
\(557\) −12.4764 9.57349i −0.528643 0.405642i 0.309659 0.950848i \(-0.399785\pi\)
−0.838302 + 0.545206i \(0.816452\pi\)
\(558\) −7.49674 33.9476i −0.317362 1.43712i
\(559\) 10.6847i 0.451913i
\(560\) −33.8904 + 14.3489i −1.43213 + 0.606352i
\(561\) 50.7570i 2.14296i
\(562\) −24.9489 + 5.50953i −1.05241 + 0.232405i
\(563\) −14.0673 10.7942i −0.592866 0.454922i 0.268237 0.963353i \(-0.413559\pi\)
−0.861103 + 0.508431i \(0.830226\pi\)
\(564\) 3.39936 + 3.12524i 0.143139 + 0.131596i
\(565\) 0.871605 + 1.13590i 0.0366687 + 0.0477876i
\(566\) 26.0582 + 12.1772i 1.09531 + 0.511847i
\(567\) −21.9167 14.9866i −0.920415 0.629378i
\(568\) −1.99786 2.61700i −0.0838284 0.109807i
\(569\) 18.4201 4.93565i 0.772211 0.206913i 0.148863 0.988858i \(-0.452439\pi\)
0.623348 + 0.781944i \(0.285772\pi\)
\(570\) 12.9744 15.4365i 0.543439 0.646565i
\(571\) 5.35143 + 40.6481i 0.223950 + 1.70107i 0.621438 + 0.783463i \(0.286549\pi\)
−0.397488 + 0.917607i \(0.630118\pi\)
\(572\) −8.81643 6.19495i −0.368633 0.259024i
\(573\) −14.2606 34.4281i −0.595744 1.43825i
\(574\) 3.42958 2.68803i 0.143148 0.112196i
\(575\) −32.9672 −1.37483
\(576\) 0.102672 20.8171i 0.00427800 0.867379i
\(577\) −15.8000 27.3664i −0.657764 1.13928i −0.981193 0.193028i \(-0.938169\pi\)
0.323430 0.946252i \(-0.395164\pi\)
\(578\) 29.8884 + 57.5305i 1.24319 + 2.39295i
\(579\) −33.6139 4.42536i −1.39695 0.183912i
\(580\) −0.152712 + 1.71307i −0.00634104 + 0.0711313i
\(581\) 18.5406 + 16.6147i 0.769194 + 0.689292i
\(582\) 10.2858 + 28.3325i 0.426361 + 1.17442i
\(583\) −19.8337 + 5.31443i −0.821428 + 0.220101i
\(584\) 37.4296 + 15.6121i 1.54885 + 0.646033i
\(585\) 17.4084 + 4.66458i 0.719750 + 0.192856i
\(586\) 30.0977 21.0378i 1.24332 0.869063i
\(587\) 8.61161 20.7903i 0.355439 0.858106i −0.640490 0.767967i \(-0.721269\pi\)
0.995929 0.0901398i \(-0.0287314\pi\)
\(588\) −25.8689 + 20.7081i −1.06682 + 0.853987i
\(589\) −15.1197 + 6.26279i −0.622997 + 0.258054i
\(590\) 6.89945 1.52362i 0.284046 0.0627265i
\(591\) −19.1504 + 11.0565i −0.787743 + 0.454804i
\(592\) 0.885993 18.8687i 0.0364141 0.775498i
\(593\) 10.5063 + 6.06579i 0.431440 + 0.249092i 0.699960 0.714182i \(-0.253201\pi\)
−0.268520 + 0.963274i \(0.586534\pi\)
\(594\) 2.65792 2.43152i 0.109056 0.0997664i
\(595\) −72.8279 + 3.98979i −2.98565 + 0.163566i
\(596\) −12.7714 + 24.4355i −0.523138 + 1.00092i
\(597\) 13.6069 + 17.7328i 0.556892 + 0.725756i
\(598\) 13.0416 1.13019i 0.533309 0.0462168i
\(599\) 19.3969 + 5.19739i 0.792537 + 0.212360i 0.632305 0.774720i \(-0.282109\pi\)
0.160232 + 0.987079i \(0.448776\pi\)
\(600\) 23.6419 + 41.1832i 0.965178 + 1.68130i
\(601\) −26.4614 26.4614i −1.07938 1.07938i −0.996565 0.0828178i \(-0.973608\pi\)
−0.0828178 0.996565i \(-0.526392\pi\)
\(602\) −9.85749 + 17.4861i −0.401761 + 0.712681i
\(603\) 27.9180 + 11.5640i 1.13691 + 0.470923i
\(604\) −1.44953 8.30047i −0.0589806 0.337741i
\(605\) 7.79514 10.1588i 0.316917 0.413015i
\(606\) 26.0769 13.5476i 1.05930 0.550332i
\(607\) 8.97752 15.5495i 0.364386 0.631136i −0.624291 0.781192i \(-0.714612\pi\)
0.988677 + 0.150056i \(0.0479454\pi\)
\(608\) −9.65755 + 1.66199i −0.391665 + 0.0674026i
\(609\) 0.285803 + 1.52192i 0.0115813 + 0.0616713i
\(610\) −1.21632 + 27.3425i −0.0492473 + 1.10706i
\(611\) 1.92615 + 0.253582i 0.0779236 + 0.0102588i
\(612\) 14.1743 38.7452i 0.572961 1.56618i
\(613\) −0.963901 7.32155i −0.0389316 0.295715i −0.999823 0.0187908i \(-0.994018\pi\)
0.960892 0.276924i \(-0.0893150\pi\)
\(614\) 0.406640 2.29514i 0.0164107 0.0926242i
\(615\) −6.77807 6.77807i −0.273318 0.273318i
\(616\) −8.71328 18.2723i −0.351068 0.736212i
\(617\) −8.61926 + 8.61926i −0.346999 + 0.346999i −0.858990 0.511992i \(-0.828908\pi\)
0.511992 + 0.858990i \(0.328908\pi\)
\(618\) −33.3331 47.6879i −1.34085 1.91829i
\(619\) −39.9239 + 5.25608i −1.60468 + 0.211260i −0.879016 0.476793i \(-0.841799\pi\)
−0.725661 + 0.688053i \(0.758466\pi\)
\(620\) −2.75811 65.6475i −0.110768 2.63647i
\(621\) −0.571225 + 4.33889i −0.0229225 + 0.174113i
\(622\) 24.2327 22.1686i 0.971644 0.888879i
\(623\) −12.3933 14.4413i −0.496527 0.578577i
\(624\) −10.7644 15.4813i −0.430922 0.619747i
\(625\) 8.79131 + 5.07567i 0.351652 + 0.203027i
\(626\) −6.65336 + 21.0414i −0.265922 + 0.840985i
\(627\) 8.79965 + 6.75221i 0.351424 + 0.269657i
\(628\) −30.1384 6.73353i −1.20265 0.268697i
\(629\) 14.3260 34.5861i 0.571217 1.37904i
\(630\) 24.1865 + 23.6946i 0.963615 + 0.944015i
\(631\) 2.16966 2.16966i 0.0863726 0.0863726i −0.662600 0.748973i \(-0.730547\pi\)
0.748973 + 0.662600i \(0.230547\pi\)
\(632\) −0.976646 0.753240i −0.0388489 0.0299623i
\(633\) −7.13616 + 26.6325i −0.283637 + 1.05855i
\(634\) −6.67624 + 7.94316i −0.265147 + 0.315463i
\(635\) 31.0748 23.8446i 1.23317 0.946242i
\(636\) −35.7897 3.19049i −1.41915 0.126511i
\(637\) −3.89618 + 13.3859i −0.154372 + 0.530368i
\(638\) −0.945078 0.0420414i −0.0374160 0.00166443i
\(639\) −1.51453 + 2.62324i −0.0599139 + 0.103774i
\(640\) 7.05484 38.7063i 0.278867 1.53000i
\(641\) −1.28091 2.21860i −0.0505930 0.0876296i 0.839620 0.543174i \(-0.182778\pi\)
−0.890213 + 0.455545i \(0.849444\pi\)
\(642\) −3.32299 + 5.20660i −0.131148 + 0.205488i
\(643\) 1.92686 + 4.65185i 0.0759880 + 0.183451i 0.957309 0.289067i \(-0.0933451\pi\)
−0.881321 + 0.472518i \(0.843345\pi\)
\(644\) 22.3860 + 10.1823i 0.882133 + 0.401239i
\(645\) 40.7962 + 16.8983i 1.60635 + 0.665371i
\(646\) −19.1232 3.38814i −0.752391 0.133305i
\(647\) −5.66762 + 21.1519i −0.222817 + 0.831565i 0.760450 + 0.649396i \(0.224978\pi\)
−0.983267 + 0.182169i \(0.941688\pi\)
\(648\) 26.2500 10.7973i 1.03120 0.424160i
\(649\) 1.00590 + 3.75406i 0.0394849 + 0.147360i
\(650\) 18.1001 + 8.45835i 0.709946 + 0.331764i
\(651\) −18.4146 56.2207i −0.721725 2.20346i
\(652\) −3.51136 11.2008i −0.137515 0.438656i
\(653\) 4.72054 35.8560i 0.184729 1.40316i −0.608172 0.793805i \(-0.708097\pi\)
0.792901 0.609350i \(-0.208570\pi\)
\(654\) −8.42507 + 26.6445i −0.329446 + 1.04188i
\(655\) 44.7488 25.8358i 1.74848 1.00949i
\(656\) 0.390739 + 4.64191i 0.0152558 + 0.181236i
\(657\) 37.3108i 1.45563i
\(658\) 2.91831 + 2.19203i 0.113768 + 0.0854544i
\(659\) 15.1726 6.28471i 0.591041 0.244817i −0.0670571 0.997749i \(-0.521361\pi\)
0.658099 + 0.752932i \(0.271361\pi\)
\(660\) −37.5972 + 23.8652i −1.46347 + 0.928954i
\(661\) 31.5018 4.14729i 1.22528 0.161311i 0.510014 0.860166i \(-0.329640\pi\)
0.715263 + 0.698855i \(0.246307\pi\)
\(662\) 1.12696 0.0976626i 0.0438005 0.00379577i
\(663\) −9.67183 36.0958i −0.375623 1.40184i
\(664\) −25.7248 + 6.82498i −0.998314 + 0.264861i
\(665\) 8.99661 13.1568i 0.348873 0.510199i
\(666\) −16.3352 + 5.93034i −0.632978 + 0.229796i
\(667\) 0.911778 0.699632i 0.0353042 0.0270899i
\(668\) −3.11355 + 8.51084i −0.120467 + 0.329294i
\(669\) 30.1912 39.3460i 1.16726 1.52120i
\(670\) 48.1419 + 30.7254i 1.85988 + 1.18703i
\(671\) −15.0546 −0.581178
\(672\) −3.33389 35.2671i −0.128607 1.36046i
\(673\) 33.1865 1.27924 0.639622 0.768689i \(-0.279091\pi\)
0.639622 + 0.768689i \(0.279091\pi\)
\(674\) 37.6175 + 24.0085i 1.44897 + 0.924773i
\(675\) −4.06607 + 5.29901i −0.156503 + 0.203959i
\(676\) 16.9671 + 6.20713i 0.652581 + 0.238736i
\(677\) −34.1214 + 26.1823i −1.31139 + 1.00627i −0.312991 + 0.949756i \(0.601331\pi\)
−0.998402 + 0.0565108i \(0.982002\pi\)
\(678\) −1.29541 + 0.470286i −0.0497501 + 0.0180612i
\(679\) 10.3077 + 21.4794i 0.395572 + 0.824303i
\(680\) 39.1529 67.4303i 1.50145 2.58583i
\(681\) 0.302219 + 1.12790i 0.0115811 + 0.0432211i
\(682\) 36.0064 3.12033i 1.37876 0.119484i
\(683\) 19.5305 2.57124i 0.747314 0.0983857i 0.252755 0.967530i \(-0.418663\pi\)
0.494558 + 0.869144i \(0.335330\pi\)
\(684\) 4.83157 + 7.61164i 0.184740 + 0.291038i
\(685\) 20.9156 8.66352i 0.799144 0.331016i
\(686\) −18.7259 + 18.3123i −0.714959 + 0.699166i
\(687\) 38.9236i 1.48503i
\(688\) −9.84611 19.0670i −0.375380 0.726923i
\(689\) −13.0920 + 7.55869i −0.498767 + 0.287963i
\(690\) 16.3106 51.5828i 0.620935 1.96372i
\(691\) −4.88106 + 37.0753i −0.185684 + 1.41041i 0.604043 + 0.796952i \(0.293556\pi\)
−0.789727 + 0.613459i \(0.789778\pi\)
\(692\) 29.5992 9.27912i 1.12519 0.352739i
\(693\) −12.4291 + 13.8699i −0.472144 + 0.526874i
\(694\) 41.2489 + 19.2760i 1.56579 + 0.731707i
\(695\) 0.00780191 + 0.0291171i 0.000295943 + 0.00110448i
\(696\) −1.52786 0.637279i −0.0579134 0.0241560i
\(697\) −2.38942 + 8.91745i −0.0905059 + 0.337772i
\(698\) −47.1222 8.34886i −1.78360 0.316009i
\(699\) 26.1731 + 10.8413i 0.989958 + 0.410054i
\(700\) 21.8185 + 30.5415i 0.824661 + 1.15436i
\(701\) −2.62484 6.33692i −0.0991388 0.239342i 0.866527 0.499131i \(-0.166347\pi\)
−0.965666 + 0.259788i \(0.916347\pi\)
\(702\) 1.42684 2.23564i 0.0538528 0.0843788i
\(703\) 4.09034 + 7.08468i 0.154270 + 0.267204i
\(704\) 21.4419 + 2.93053i 0.808120 + 0.110449i
\(705\) 4.01453 6.95336i 0.151196 0.261879i
\(706\) −46.3818 2.06327i −1.74560 0.0776523i
\(707\) 19.4500 12.6966i 0.731492 0.477504i
\(708\) −0.603886 + 6.77416i −0.0226954 + 0.254588i
\(709\) −23.9384 + 18.3686i −0.899027 + 0.689848i −0.951129 0.308794i \(-0.900075\pi\)
0.0521017 + 0.998642i \(0.483408\pi\)
\(710\) −3.68344 + 4.38243i −0.138237 + 0.164470i
\(711\) −0.293684 + 1.09604i −0.0110140 + 0.0411049i
\(712\) 20.1765 2.60568i 0.756145 0.0976519i
\(713\) −31.0467 + 31.0467i −1.16271 + 1.16271i
\(714\) 17.4728 67.9961i 0.653902 2.54469i
\(715\) −7.16987 + 17.3096i −0.268138 + 0.647342i
\(716\) 3.64439 16.3118i 0.136197 0.609602i
\(717\) −39.7899 30.5319i −1.48598 1.14023i
\(718\) 13.1253 41.5092i 0.489833 1.54911i
\(719\) 3.28187 + 1.89479i 0.122393 + 0.0706637i 0.559947 0.828529i \(-0.310822\pi\)
−0.437554 + 0.899192i \(0.644155\pi\)
\(720\) −35.3642 + 7.71815i −1.31795 + 0.287638i
\(721\) −29.9500 34.8991i −1.11540 1.29971i
\(722\) −16.6942 + 15.2722i −0.621296 + 0.568374i
\(723\) 0.944893 7.17717i 0.0351409 0.266922i
\(724\) 32.4569 1.36364i 1.20625 0.0506793i
\(725\) 1.73904 0.228949i 0.0645863 0.00850294i
\(726\) 7.06119 + 10.1021i 0.262065 + 0.374923i
\(727\) 10.0645 10.0645i 0.373272 0.373272i −0.495395 0.868668i \(-0.664977\pi\)
0.868668 + 0.495395i \(0.164977\pi\)
\(728\) −9.67825 11.3340i −0.358700 0.420066i
\(729\) −13.7371 13.7371i −0.508781 0.508781i
\(730\) 12.3020 69.4346i 0.455319 2.56989i
\(731\) −5.55108 42.1647i −0.205314 1.55952i
\(732\) −24.7407 9.05098i −0.914444 0.334534i
\(733\) −3.00160 0.395168i −0.110866 0.0145958i 0.0748888 0.997192i \(-0.476140\pi\)
−0.185755 + 0.982596i \(0.559473\pi\)
\(734\) −0.332750 + 7.48013i −0.0122820 + 0.276097i
\(735\) 44.9480 + 36.0468i 1.65793 + 1.32961i
\(736\) −22.2315 + 14.0349i −0.819463 + 0.517333i
\(737\) −15.7071 + 27.2054i −0.578577 + 1.00212i
\(738\) 3.80308 1.97578i 0.139993 0.0727296i
\(739\) 5.27338 6.87241i 0.193985 0.252806i −0.686227 0.727388i \(-0.740734\pi\)
0.880211 + 0.474582i \(0.157401\pi\)
\(740\) −32.3549 + 5.65020i −1.18939 + 0.207706i
\(741\) 7.54450 + 3.12504i 0.277154 + 0.114801i
\(742\) −28.3995 + 0.291783i −1.04258 + 0.0107117i
\(743\) −30.6105 30.6105i −1.12299 1.12299i −0.991290 0.131699i \(-0.957957\pi\)
−0.131699 0.991290i \(-0.542043\pi\)
\(744\) 61.0488 + 16.5194i 2.23816 + 0.605632i
\(745\) 46.3075 + 12.4081i 1.69658 + 0.454596i
\(746\) −18.0497 + 1.56420i −0.660848 + 0.0572694i
\(747\) 14.9059 + 19.4258i 0.545380 + 0.710753i
\(748\) 38.0106 + 19.8665i 1.38980 + 0.726393i
\(749\) −2.20613 + 4.35525i −0.0806101 + 0.159137i
\(750\) 17.9788 16.4474i 0.656494 0.600574i
\(751\) −43.0634 24.8627i −1.57141 0.907252i −0.995997 0.0893869i \(-0.971509\pi\)
−0.575410 0.817865i \(-0.695157\pi\)
\(752\) −3.67093 + 1.32246i −0.133865 + 0.0482250i
\(753\) 4.10210 2.36835i 0.149489 0.0863074i
\(754\) −0.680102 + 0.150188i −0.0247678 + 0.00546954i
\(755\) −13.5358 + 5.60672i −0.492619 + 0.204049i
\(756\) 4.39768 2.34238i 0.159942 0.0851916i
\(757\) −2.17686 + 5.25541i −0.0791193 + 0.191011i −0.958490 0.285128i \(-0.907964\pi\)
0.879370 + 0.476139i \(0.157964\pi\)
\(758\) 6.39671 4.47119i 0.232339 0.162401i
\(759\) 28.7439 + 7.70189i 1.04334 + 0.279561i
\(760\) 6.48175 + 15.7581i 0.235118 + 0.571608i
\(761\) 15.1537 4.06042i 0.549321 0.147190i 0.0265254 0.999648i \(-0.491556\pi\)
0.522796 + 0.852458i \(0.324889\pi\)
\(762\) 12.8657 + 35.4387i 0.466073 + 1.28381i
\(763\) −4.54116 + 21.6162i −0.164401 + 0.782558i
\(764\) 31.3640 + 2.79596i 1.13471 + 0.101154i
\(765\) −71.1219 9.36338i −2.57142 0.338534i
\(766\) 4.66578 + 8.98090i 0.168582 + 0.324493i
\(767\) 1.43068 + 2.47802i 0.0516590 + 0.0894760i
\(768\) 33.4756 + 17.7070i 1.20795 + 0.638948i
\(769\) −5.19904 −0.187482 −0.0937411 0.995597i \(-0.529883\pi\)
−0.0937411 + 0.995597i \(0.529883\pi\)
\(770\) −27.7035 + 21.7135i −0.998364 + 0.782498i
\(771\) −7.47307 18.0416i −0.269136 0.649752i
\(772\) 16.4707 23.4405i 0.592793 0.843641i
\(773\) −2.37738 18.0580i