Properties

Label 224.2.bd.a.37.17
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 37.17
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.148173 + 1.40643i) q^{2} +(-1.23048 + 1.60359i) q^{3} +(-1.95609 + 0.416790i) q^{4} +(0.591453 - 0.453838i) q^{5} +(-2.43766 - 1.49297i) q^{6} +(-2.18592 + 1.49056i) q^{7} +(-0.876026 - 2.68935i) q^{8} +(-0.280969 - 1.04859i) q^{9} +O(q^{10})\) \(q+(0.148173 + 1.40643i) q^{2} +(-1.23048 + 1.60359i) q^{3} +(-1.95609 + 0.416790i) q^{4} +(0.591453 - 0.453838i) q^{5} +(-2.43766 - 1.49297i) q^{6} +(-2.18592 + 1.49056i) q^{7} +(-0.876026 - 2.68935i) q^{8} +(-0.280969 - 1.04859i) q^{9} +(0.725929 + 0.764591i) q^{10} +(-3.27488 + 0.431146i) q^{11} +(1.73857 - 3.64962i) q^{12} +(0.237482 - 0.0983684i) q^{13} +(-2.42026 - 2.85348i) q^{14} +1.50689i q^{15} +(3.65257 - 1.63056i) q^{16} +(0.237856 - 0.137326i) q^{17} +(1.43314 - 0.550536i) q^{18} +(0.413608 - 3.14167i) q^{19} +(-0.967780 + 1.13426i) q^{20} +(0.299483 - 5.33942i) q^{21} +(-1.09163 - 4.54200i) q^{22} +(1.45977 + 5.44793i) q^{23} +(5.39054 + 1.90439i) q^{24} +(-1.15025 + 4.29278i) q^{25} +(0.173537 + 0.319427i) q^{26} +(-3.57503 - 1.48082i) q^{27} +(3.65460 - 3.82673i) q^{28} +(0.801128 + 1.93409i) q^{29} +(-2.11933 + 0.223280i) q^{30} +(1.52247 + 2.63700i) q^{31} +(2.83448 + 4.89548i) q^{32} +(3.33829 - 5.78208i) q^{33} +(0.228383 + 0.314179i) q^{34} +(-0.616397 + 1.87365i) q^{35} +(0.986643 + 1.93403i) q^{36} +(-6.47662 + 4.96968i) q^{37} +(4.47982 + 0.116200i) q^{38} +(-0.134474 + 0.501865i) q^{39} +(-1.73865 - 1.19305i) q^{40} +(-2.41053 + 2.41053i) q^{41} +(7.55389 - 0.369957i) q^{42} +(-3.81560 + 9.21166i) q^{43} +(6.22626 - 2.20830i) q^{44} +(-0.642070 - 0.492678i) q^{45} +(-7.44583 + 2.86030i) q^{46} +(8.91945 + 5.14965i) q^{47} +(-1.87966 + 7.86360i) q^{48} +(2.55648 - 6.51647i) q^{49} +(-6.20793 - 0.981667i) q^{50} +(-0.0724616 + 0.550400i) q^{51} +(-0.423538 + 0.291398i) q^{52} +(7.96102 - 1.04809i) q^{53} +(1.55295 - 5.24744i) q^{54} +(-1.74127 + 1.74127i) q^{55} +(5.92354 + 4.57292i) q^{56} +(4.52901 + 4.52901i) q^{57} +(-2.60146 + 1.41331i) q^{58} +(-1.51564 - 11.5124i) q^{59} +(-0.628056 - 2.94760i) q^{60} +(-6.27068 - 0.825551i) q^{61} +(-3.48317 + 2.53198i) q^{62} +(2.17716 + 1.87333i) q^{63} +(-6.46516 + 4.71187i) q^{64} +(0.0958163 - 0.165959i) q^{65} +(8.62673 + 3.83832i) q^{66} +(0.961960 - 1.25365i) q^{67} +(-0.408031 + 0.367758i) q^{68} +(-10.5325 - 4.36269i) q^{69} +(-2.72649 - 0.589295i) q^{70} +(-1.35162 - 1.35162i) q^{71} +(-2.57389 + 1.67422i) q^{72} +(-0.883450 - 0.236720i) q^{73} +(-7.94917 - 8.37254i) q^{74} +(-5.46851 - 7.12670i) q^{75} +(0.500361 + 6.31777i) q^{76} +(6.51597 - 5.82384i) q^{77} +(-0.725763 - 0.114766i) q^{78} +(12.0051 + 6.93117i) q^{79} +(1.42032 - 2.62207i) q^{80} +(9.59405 - 5.53913i) q^{81} +(-3.74741 - 3.03306i) q^{82} +(15.5006 - 6.42056i) q^{83} +(1.63960 + 10.5692i) q^{84} +(0.0783567 - 0.189170i) q^{85} +(-13.5209 - 4.00145i) q^{86} +(-4.08727 - 1.09518i) q^{87} +(4.02838 + 8.42958i) q^{88} +(10.2157 - 2.73728i) q^{89} +(0.597779 - 0.976029i) q^{90} +(-0.372493 + 0.569006i) q^{91} +(-5.12608 - 10.0482i) q^{92} +(-6.10204 - 0.803349i) q^{93} +(-5.92099 + 13.3076i) q^{94} +(-1.18118 - 2.04586i) q^{95} +(-11.3381 - 1.47844i) q^{96} -0.0930782 q^{97} +(9.54376 + 2.62995i) q^{98} +(1.37224 + 3.31287i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.148173 + 1.40643i 0.104774 + 0.994496i
\(3\) −1.23048 + 1.60359i −0.710417 + 0.925834i −0.999505 0.0314690i \(-0.989981\pi\)
0.289088 + 0.957303i \(0.406648\pi\)
\(4\) −1.95609 + 0.416790i −0.978045 + 0.208395i
\(5\) 0.591453 0.453838i 0.264506 0.202962i −0.467990 0.883734i \(-0.655022\pi\)
0.732496 + 0.680771i \(0.238355\pi\)
\(6\) −2.43766 1.49297i −0.995171 0.609504i
\(7\) −2.18592 + 1.49056i −0.826200 + 0.563377i
\(8\) −0.876026 2.68935i −0.309722 0.950827i
\(9\) −0.280969 1.04859i −0.0936564 0.349530i
\(10\) 0.725929 + 0.764591i 0.229559 + 0.241785i
\(11\) −3.27488 + 0.431146i −0.987413 + 0.129995i −0.606898 0.794780i \(-0.707586\pi\)
−0.380515 + 0.924775i \(0.624253\pi\)
\(12\) 1.73857 3.64962i 0.501881 1.05355i
\(13\) 0.237482 0.0983684i 0.0658657 0.0272825i −0.349507 0.936934i \(-0.613651\pi\)
0.415373 + 0.909651i \(0.363651\pi\)
\(14\) −2.42026 2.85348i −0.646841 0.762625i
\(15\) 1.50689i 0.389076i
\(16\) 3.65257 1.63056i 0.913143 0.407639i
\(17\) 0.237856 0.137326i 0.0576885 0.0333065i −0.470878 0.882198i \(-0.656063\pi\)
0.528567 + 0.848892i \(0.322730\pi\)
\(18\) 1.43314 0.550536i 0.337794 0.129763i
\(19\) 0.413608 3.14167i 0.0948882 0.720748i −0.876187 0.481972i \(-0.839921\pi\)
0.971075 0.238775i \(-0.0767460\pi\)
\(20\) −0.967780 + 1.13426i −0.216402 + 0.253628i
\(21\) 0.299483 5.33942i 0.0653525 1.16516i
\(22\) −1.09163 4.54200i −0.232735 0.968358i
\(23\) 1.45977 + 5.44793i 0.304383 + 1.13597i 0.933476 + 0.358641i \(0.116760\pi\)
−0.629093 + 0.777330i \(0.716574\pi\)
\(24\) 5.39054 + 1.90439i 1.10034 + 0.388733i
\(25\) −1.15025 + 4.29278i −0.230049 + 0.858556i
\(26\) 0.173537 + 0.319427i 0.0340334 + 0.0626447i
\(27\) −3.57503 1.48082i −0.688014 0.284985i
\(28\) 3.65460 3.82673i 0.690655 0.723184i
\(29\) 0.801128 + 1.93409i 0.148766 + 0.359152i 0.980642 0.195809i \(-0.0627332\pi\)
−0.831876 + 0.554961i \(0.812733\pi\)
\(30\) −2.11933 + 0.223280i −0.386935 + 0.0407652i
\(31\) 1.52247 + 2.63700i 0.273444 + 0.473619i 0.969741 0.244134i \(-0.0785038\pi\)
−0.696297 + 0.717754i \(0.745170\pi\)
\(32\) 2.83448 + 4.89548i 0.501070 + 0.865407i
\(33\) 3.33829 5.78208i 0.581121 1.00653i
\(34\) 0.228383 + 0.314179i 0.0391674 + 0.0538813i
\(35\) −0.616397 + 1.87365i −0.104190 + 0.316704i
\(36\) 0.986643 + 1.93403i 0.164441 + 0.322339i
\(37\) −6.47662 + 4.96968i −1.06475 + 0.817011i −0.983721 0.179701i \(-0.942487\pi\)
−0.0810282 + 0.996712i \(0.525820\pi\)
\(38\) 4.47982 + 0.116200i 0.726722 + 0.0188502i
\(39\) −0.134474 + 0.501865i −0.0215331 + 0.0803627i
\(40\) −1.73865 1.19305i −0.274905 0.188637i
\(41\) −2.41053 + 2.41053i −0.376461 + 0.376461i −0.869824 0.493363i \(-0.835768\pi\)
0.493363 + 0.869824i \(0.335768\pi\)
\(42\) 7.55389 0.369957i 1.16559 0.0570855i
\(43\) −3.81560 + 9.21166i −0.581873 + 1.40477i 0.309240 + 0.950984i \(0.399925\pi\)
−0.891113 + 0.453781i \(0.850075\pi\)
\(44\) 6.22626 2.20830i 0.938643 0.332913i
\(45\) −0.642070 0.492678i −0.0957142 0.0734441i
\(46\) −7.44583 + 2.86030i −1.09783 + 0.421728i
\(47\) 8.91945 + 5.14965i 1.30104 + 0.751153i 0.980582 0.196111i \(-0.0628313\pi\)
0.320454 + 0.947264i \(0.396165\pi\)
\(48\) −1.87966 + 7.86360i −0.271306 + 1.13501i
\(49\) 2.55648 6.51647i 0.365212 0.930925i
\(50\) −6.20793 0.981667i −0.877934 0.138829i
\(51\) −0.0724616 + 0.550400i −0.0101466 + 0.0770715i
\(52\) −0.423538 + 0.291398i −0.0587341 + 0.0404096i
\(53\) 7.96102 1.04809i 1.09353 0.143966i 0.437882 0.899032i \(-0.355729\pi\)
0.655648 + 0.755066i \(0.272395\pi\)
\(54\) 1.55295 5.24744i 0.211330 0.714086i
\(55\) −1.74127 + 1.74127i −0.234792 + 0.234792i
\(56\) 5.92354 + 4.57292i 0.791567 + 0.611083i
\(57\) 4.52901 + 4.52901i 0.599882 + 0.599882i
\(58\) −2.60146 + 1.41331i −0.341589 + 0.185577i
\(59\) −1.51564 11.5124i −0.197320 1.49879i −0.747789 0.663937i \(-0.768884\pi\)
0.550469 0.834856i \(-0.314449\pi\)
\(60\) −0.628056 2.94760i −0.0810816 0.380534i
\(61\) −6.27068 0.825551i −0.802878 0.105701i −0.282091 0.959388i \(-0.591028\pi\)
−0.520787 + 0.853687i \(0.674361\pi\)
\(62\) −3.48317 + 2.53198i −0.442362 + 0.321562i
\(63\) 2.17716 + 1.87333i 0.274296 + 0.236018i
\(64\) −6.46516 + 4.71187i −0.808145 + 0.588984i
\(65\) 0.0958163 0.165959i 0.0118846 0.0205847i
\(66\) 8.62673 + 3.83832i 1.06188 + 0.472464i
\(67\) 0.961960 1.25365i 0.117522 0.153158i −0.730888 0.682498i \(-0.760894\pi\)
0.848410 + 0.529340i \(0.177560\pi\)
\(68\) −0.408031 + 0.367758i −0.0494810 + 0.0445972i
\(69\) −10.5325 4.36269i −1.26796 0.525206i
\(70\) −2.72649 0.589295i −0.325877 0.0704342i
\(71\) −1.35162 1.35162i −0.160408 0.160408i 0.622340 0.782747i \(-0.286182\pi\)
−0.782747 + 0.622340i \(0.786182\pi\)
\(72\) −2.57389 + 1.67422i −0.303336 + 0.197308i
\(73\) −0.883450 0.236720i −0.103400 0.0277060i 0.206748 0.978394i \(-0.433712\pi\)
−0.310148 + 0.950688i \(0.600379\pi\)
\(74\) −7.94917 8.37254i −0.924073 0.973288i
\(75\) −5.46851 7.12670i −0.631449 0.822921i
\(76\) 0.500361 + 6.31777i 0.0573953 + 0.724698i
\(77\) 6.51597 5.82384i 0.742564 0.663688i
\(78\) −0.725763 0.114766i −0.0821765 0.0129947i
\(79\) 12.0051 + 6.93117i 1.35068 + 0.779818i 0.988345 0.152229i \(-0.0486450\pi\)
0.362339 + 0.932046i \(0.381978\pi\)
\(80\) 1.42032 2.62207i 0.158796 0.293157i
\(81\) 9.59405 5.53913i 1.06601 0.615459i
\(82\) −3.74741 3.03306i −0.413832 0.334945i
\(83\) 15.5006 6.42056i 1.70141 0.704748i 0.701445 0.712724i \(-0.252539\pi\)
0.999968 + 0.00797574i \(0.00253878\pi\)
\(84\) 1.63960 + 10.5692i 0.178895 + 1.15319i
\(85\) 0.0783567 0.189170i 0.00849898 0.0205184i
\(86\) −13.5209 4.00145i −1.45800 0.431487i
\(87\) −4.08727 1.09518i −0.438201 0.117416i
\(88\) 4.02838 + 8.42958i 0.429427 + 0.898596i
\(89\) 10.2157 2.73728i 1.08286 0.290151i 0.327092 0.944993i \(-0.393931\pi\)
0.755766 + 0.654842i \(0.227265\pi\)
\(90\) 0.597779 0.976029i 0.0630115 0.102882i
\(91\) −0.372493 + 0.569006i −0.0390479 + 0.0596481i
\(92\) −5.12608 10.0482i −0.534431 1.04760i
\(93\) −6.10204 0.803349i −0.632752 0.0833034i
\(94\) −5.92099 + 13.3076i −0.610704 + 1.37258i
\(95\) −1.18118 2.04586i −0.121186 0.209901i
\(96\) −11.3381 1.47844i −1.15719 0.150893i
\(97\) −0.0930782 −0.00945066 −0.00472533 0.999989i \(-0.501504\pi\)
−0.00472533 + 0.999989i \(0.501504\pi\)
\(98\) 9.54376 + 2.62995i 0.964066 + 0.265665i
\(99\) 1.37224 + 3.31287i 0.137915 + 0.332956i
\(100\) 0.460797 8.87648i 0.0460797 0.887648i
\(101\) 1.58229 + 12.0187i 0.157444 + 1.19591i 0.869554 + 0.493838i \(0.164406\pi\)
−0.712110 + 0.702068i \(0.752260\pi\)
\(102\) −0.784836 0.0203576i −0.0777104 0.00201570i
\(103\) 0.808836 0.216727i 0.0796970 0.0213547i −0.218750 0.975781i \(-0.570198\pi\)
0.298447 + 0.954426i \(0.403531\pi\)
\(104\) −0.472587 0.552499i −0.0463410 0.0541770i
\(105\) −2.24610 3.29393i −0.219197 0.321455i
\(106\) 2.65367 + 11.0413i 0.257747 + 1.07243i
\(107\) 0.106879 + 0.139287i 0.0103324 + 0.0134654i 0.798491 0.602007i \(-0.205632\pi\)
−0.788159 + 0.615472i \(0.788965\pi\)
\(108\) 7.61026 + 1.40659i 0.732298 + 0.135349i
\(109\) −7.13445 5.47446i −0.683357 0.524358i 0.207733 0.978186i \(-0.433392\pi\)
−0.891090 + 0.453828i \(0.850058\pi\)
\(110\) −2.70698 2.19096i −0.258100 0.208900i
\(111\) 16.5009i 1.56620i
\(112\) −5.55379 + 9.00863i −0.524783 + 0.851236i
\(113\) 8.13250i 0.765041i −0.923947 0.382520i \(-0.875056\pi\)
0.923947 0.382520i \(-0.124944\pi\)
\(114\) −5.69866 + 7.04081i −0.533728 + 0.659433i
\(115\) 3.33586 + 2.55969i 0.311070 + 0.238693i
\(116\) −2.37319 3.44936i −0.220345 0.320265i
\(117\) −0.169873 0.221383i −0.0157048 0.0204669i
\(118\) 15.9669 3.83748i 1.46987 0.353269i
\(119\) −0.315241 + 0.654721i −0.0288981 + 0.0600182i
\(120\) 4.05254 1.32007i 0.369944 0.120506i
\(121\) −0.0862472 + 0.0231099i −0.00784065 + 0.00210090i
\(122\) 0.231933 8.94160i 0.0209982 0.809534i
\(123\) −0.899397 6.83160i −0.0810959 0.615984i
\(124\) −4.07717 4.52366i −0.366141 0.406236i
\(125\) 2.69438 + 6.50481i 0.240993 + 0.581808i
\(126\) −2.31212 + 3.33960i −0.205980 + 0.297515i
\(127\) −13.8415 −1.22824 −0.614119 0.789213i \(-0.710489\pi\)
−0.614119 + 0.789213i \(0.710489\pi\)
\(128\) −7.58488 8.39462i −0.670415 0.741986i
\(129\) −10.0767 17.4534i −0.887207 1.53669i
\(130\) 0.247607 + 0.110168i 0.0217165 + 0.00966240i
\(131\) −19.1663 2.52328i −1.67456 0.220460i −0.767379 0.641194i \(-0.778439\pi\)
−0.907184 + 0.420733i \(0.861773\pi\)
\(132\) −4.12007 + 12.7016i −0.358606 + 1.10553i
\(133\) 3.77872 + 7.48393i 0.327656 + 0.648939i
\(134\) 1.90571 + 1.16717i 0.164628 + 0.100828i
\(135\) −2.78651 + 0.746644i −0.239825 + 0.0642609i
\(136\) −0.577685 0.519375i −0.0495361 0.0445361i
\(137\) 12.1128 + 3.24561i 1.03487 + 0.277291i 0.735984 0.676999i \(-0.236720\pi\)
0.298881 + 0.954290i \(0.403386\pi\)
\(138\) 4.57519 15.4596i 0.389466 1.31601i
\(139\) 7.47093 18.0364i 0.633676 1.52983i −0.201293 0.979531i \(-0.564514\pi\)
0.834969 0.550297i \(-0.185486\pi\)
\(140\) 0.424810 3.92193i 0.0359030 0.331464i
\(141\) −19.2331 + 7.96662i −1.61972 + 0.670910i
\(142\) 1.70068 2.10123i 0.142718 0.176331i
\(143\) −0.735314 + 0.424534i −0.0614901 + 0.0355013i
\(144\) −2.73605 3.37192i −0.228004 0.280993i
\(145\) 1.35160 + 0.780344i 0.112244 + 0.0648040i
\(146\) 0.202026 1.27759i 0.0167198 0.105734i
\(147\) 7.30406 + 12.1179i 0.602429 + 0.999470i
\(148\) 10.5975 12.4205i 0.871112 1.02096i
\(149\) 7.46128 + 9.72374i 0.611252 + 0.796599i 0.991751 0.128182i \(-0.0409142\pi\)
−0.380498 + 0.924782i \(0.624248\pi\)
\(150\) 9.21292 8.74706i 0.752232 0.714195i
\(151\) −19.5217 5.23083i −1.58865 0.425679i −0.647063 0.762436i \(-0.724003\pi\)
−0.941591 + 0.336758i \(0.890670\pi\)
\(152\) −8.81136 + 1.63985i −0.714695 + 0.133009i
\(153\) −0.210829 0.210829i −0.0170445 0.0170445i
\(154\) 9.15631 + 8.30132i 0.737837 + 0.668939i
\(155\) 2.09724 + 0.868706i 0.168454 + 0.0697761i
\(156\) 0.0538714 1.03774i 0.00431316 0.0830857i
\(157\) −11.0151 + 14.3552i −0.879103 + 1.14567i 0.109330 + 0.994006i \(0.465130\pi\)
−0.988432 + 0.151663i \(0.951537\pi\)
\(158\) −7.96937 + 17.9114i −0.634009 + 1.42495i
\(159\) −8.11516 + 14.0559i −0.643574 + 1.11470i
\(160\) 3.89822 + 1.60905i 0.308181 + 0.127207i
\(161\) −11.3114 9.73286i −0.891461 0.767057i
\(162\) 9.21198 + 12.6726i 0.723761 + 0.995654i
\(163\) 12.9165 + 1.70050i 1.01170 + 0.133193i 0.618110 0.786092i \(-0.287899\pi\)
0.393593 + 0.919285i \(0.371232\pi\)
\(164\) 3.71052 5.71989i 0.289743 0.446648i
\(165\) −0.649688 4.93487i −0.0505781 0.384179i
\(166\) 11.3268 + 20.8492i 0.879134 + 1.61821i
\(167\) 8.64632 + 8.64632i 0.669073 + 0.669073i 0.957501 0.288429i \(-0.0931328\pi\)
−0.288429 + 0.957501i \(0.593133\pi\)
\(168\) −14.6219 + 3.87206i −1.12810 + 0.298736i
\(169\) −9.14567 + 9.14567i −0.703513 + 0.703513i
\(170\) 0.277665 + 0.0821734i 0.0212959 + 0.00630241i
\(171\) −3.41053 + 0.449005i −0.260810 + 0.0343363i
\(172\) 3.62432 19.6091i 0.276351 1.49518i
\(173\) 0.358166 2.72054i 0.0272309 0.206839i −0.972421 0.233234i \(-0.925069\pi\)
0.999652 + 0.0263947i \(0.00840267\pi\)
\(174\) 0.934671 5.91073i 0.0708572 0.448091i
\(175\) −3.88429 11.0982i −0.293625 0.838944i
\(176\) −11.2587 + 6.91467i −0.848658 + 0.521213i
\(177\) 20.3262 + 11.7353i 1.52781 + 0.882083i
\(178\) 5.36348 + 13.9620i 0.402010 + 1.04650i
\(179\) −0.746441 0.572764i −0.0557916 0.0428104i 0.580489 0.814268i \(-0.302861\pi\)
−0.636281 + 0.771458i \(0.719528\pi\)
\(180\) 1.46129 + 0.696114i 0.108918 + 0.0518852i
\(181\) 0.611795 1.47700i 0.0454744 0.109785i −0.899510 0.436900i \(-0.856076\pi\)
0.944985 + 0.327115i \(0.106076\pi\)
\(182\) −0.855461 0.439574i −0.0634110 0.0325834i
\(183\) 9.03978 9.03978i 0.668240 0.668240i
\(184\) 13.3726 8.69834i 0.985838 0.641250i
\(185\) −1.57518 + 5.87867i −0.115810 + 0.432208i
\(186\) 0.225695 8.70112i 0.0165488 0.637997i
\(187\) −0.719741 + 0.552277i −0.0526327 + 0.0403865i
\(188\) −19.5936 6.35563i −1.42901 0.463532i
\(189\) 10.0220 2.09182i 0.728991 0.152157i
\(190\) 2.70234 1.96438i 0.196048 0.142511i
\(191\) 6.41353 11.1086i 0.464067 0.803787i −0.535092 0.844794i \(-0.679723\pi\)
0.999159 + 0.0410064i \(0.0130564\pi\)
\(192\) 0.399320 16.1653i 0.0288185 1.16663i
\(193\) 5.48121 + 9.49374i 0.394546 + 0.683374i 0.993043 0.117751i \(-0.0375684\pi\)
−0.598497 + 0.801125i \(0.704235\pi\)
\(194\) −0.0137917 0.130908i −0.000990186 0.00939865i
\(195\) 0.148230 + 0.357859i 0.0106150 + 0.0256268i
\(196\) −2.28470 + 13.8123i −0.163193 + 0.986594i
\(197\) 21.5255 + 8.91616i 1.53363 + 0.635250i 0.980265 0.197690i \(-0.0633438\pi\)
0.553364 + 0.832939i \(0.313344\pi\)
\(198\) −4.45599 + 2.42083i −0.316673 + 0.172041i
\(199\) −1.21074 + 4.51855i −0.0858271 + 0.320311i −0.995470 0.0950810i \(-0.969689\pi\)
0.909642 + 0.415392i \(0.136356\pi\)
\(200\) 12.5524 0.667176i 0.887590 0.0471765i
\(201\) 0.826672 + 3.08518i 0.0583089 + 0.217612i
\(202\) −16.6690 + 4.00623i −1.17283 + 0.281877i
\(203\) −4.63408 3.03365i −0.325249 0.212920i
\(204\) −0.0876601 1.10683i −0.00613744 0.0774938i
\(205\) −0.331725 + 2.51970i −0.0231687 + 0.175984i
\(206\) 0.424659 + 1.10546i 0.0295874 + 0.0770209i
\(207\) 5.30250 3.06140i 0.368549 0.212782i
\(208\) 0.707026 0.746526i 0.0490234 0.0517623i
\(209\) 10.4669i 0.724010i
\(210\) 4.29987 3.64705i 0.296719 0.251671i
\(211\) −4.01171 + 1.66171i −0.276178 + 0.114397i −0.516474 0.856303i \(-0.672756\pi\)
0.240296 + 0.970700i \(0.422756\pi\)
\(212\) −15.1356 + 5.36823i −1.03952 + 0.368692i
\(213\) 3.83058 0.504306i 0.262467 0.0345544i
\(214\) −0.180061 + 0.170956i −0.0123087 + 0.0116863i
\(215\) 1.92386 + 7.17993i 0.131206 + 0.489667i
\(216\) −0.850632 + 10.9117i −0.0578782 + 0.742448i
\(217\) −7.25860 3.49494i −0.492746 0.237252i
\(218\) 6.64231 10.8453i 0.449874 0.734535i
\(219\) 1.46667 1.12541i 0.0991083 0.0760484i
\(220\) 2.68033 4.13181i 0.180708 0.278567i
\(221\) 0.0429780 0.0560100i 0.00289101 0.00376764i
\(222\) 23.2074 2.44500i 1.55758 0.164097i
\(223\) 25.6197 1.71562 0.857810 0.513967i \(-0.171825\pi\)
0.857810 + 0.513967i \(0.171825\pi\)
\(224\) −13.4929 6.47617i −0.901534 0.432708i
\(225\) 4.82456 0.321637
\(226\) 11.4378 1.20502i 0.760830 0.0801566i
\(227\) −14.9286 + 19.4553i −0.990844 + 1.29129i −0.0343900 + 0.999408i \(0.510949\pi\)
−0.956454 + 0.291884i \(0.905718\pi\)
\(228\) −10.7468 6.97150i −0.711724 0.461699i
\(229\) 9.05468 6.94790i 0.598350 0.459130i −0.264642 0.964347i \(-0.585254\pi\)
0.862993 + 0.505216i \(0.168587\pi\)
\(230\) −3.10575 + 5.07093i −0.204787 + 0.334367i
\(231\) 1.32130 + 17.6151i 0.0869350 + 1.15899i
\(232\) 4.49964 3.84883i 0.295416 0.252688i
\(233\) −4.27438 15.9522i −0.280024 1.04506i −0.952399 0.304854i \(-0.901392\pi\)
0.672375 0.740211i \(-0.265274\pi\)
\(234\) 0.286190 0.271718i 0.0187088 0.0177628i
\(235\) 7.61254 1.00221i 0.496587 0.0653770i
\(236\) 7.76301 + 21.8877i 0.505329 + 1.42477i
\(237\) −25.8868 + 10.7227i −1.68153 + 0.696513i
\(238\) −0.967530 0.346352i −0.0627156 0.0224507i
\(239\) 27.6751i 1.79015i −0.445913 0.895077i \(-0.647121\pi\)
0.445913 0.895077i \(-0.352879\pi\)
\(240\) 2.45707 + 5.50401i 0.158603 + 0.355282i
\(241\) −22.5676 + 13.0294i −1.45371 + 0.839298i −0.998689 0.0511845i \(-0.983700\pi\)
−0.455018 + 0.890482i \(0.650367\pi\)
\(242\) −0.0452819 0.117876i −0.00291083 0.00757738i
\(243\) −1.40753 + 10.6913i −0.0902934 + 0.685846i
\(244\) 12.6101 0.998707i 0.807278 0.0639357i
\(245\) −1.44538 5.01441i −0.0923421 0.320359i
\(246\) 9.47490 2.27720i 0.604097 0.145189i
\(247\) −0.210816 0.786776i −0.0134139 0.0500614i
\(248\) 5.75808 6.40454i 0.365638 0.406688i
\(249\) −8.77721 + 32.7570i −0.556233 + 2.07589i
\(250\) −8.74933 + 4.75330i −0.553356 + 0.300625i
\(251\) 11.7913 + 4.88413i 0.744262 + 0.308283i 0.722398 0.691478i \(-0.243040\pi\)
0.0218640 + 0.999761i \(0.493040\pi\)
\(252\) −5.03951 2.75699i −0.317459 0.173674i
\(253\) −7.12941 17.2119i −0.448222 1.08210i
\(254\) −2.05094 19.4672i −0.128688 1.22148i
\(255\) 0.206935 + 0.358422i 0.0129588 + 0.0224452i
\(256\) 10.6826 11.9115i 0.667660 0.744466i
\(257\) −6.19325 + 10.7270i −0.386325 + 0.669134i −0.991952 0.126615i \(-0.959589\pi\)
0.605627 + 0.795748i \(0.292922\pi\)
\(258\) 23.0539 16.7583i 1.43527 1.04333i
\(259\) 6.74977 20.5171i 0.419410 1.27487i
\(260\) −0.118255 + 0.364566i −0.00733389 + 0.0226094i
\(261\) 1.80298 1.38348i 0.111602 0.0856351i
\(262\) 0.708900 27.3299i 0.0437960 1.68845i
\(263\) −2.00307 + 7.47556i −0.123515 + 0.460963i −0.999782 0.0208616i \(-0.993359\pi\)
0.876268 + 0.481825i \(0.160026\pi\)
\(264\) −18.4744 3.91255i −1.13702 0.240801i
\(265\) 4.23291 4.23291i 0.260025 0.260025i
\(266\) −9.96572 + 6.42342i −0.611038 + 0.393845i
\(267\) −8.18068 + 19.7499i −0.500649 + 1.20867i
\(268\) −1.35917 + 2.85319i −0.0830246 + 0.174286i
\(269\) 6.82470 + 5.23678i 0.416109 + 0.319292i 0.795510 0.605941i \(-0.207203\pi\)
−0.379401 + 0.925233i \(0.623870\pi\)
\(270\) −1.46299 3.80840i −0.0890347 0.231772i
\(271\) 22.8091 + 13.1689i 1.38556 + 0.799951i 0.992811 0.119696i \(-0.0381919\pi\)
0.392746 + 0.919647i \(0.371525\pi\)
\(272\) 0.644867 0.889431i 0.0391008 0.0539297i
\(273\) −0.454108 1.29748i −0.0274839 0.0785269i
\(274\) −2.76994 + 17.5167i −0.167338 + 1.05822i
\(275\) 1.91610 14.5543i 0.115545 0.877655i
\(276\) 22.4208 + 4.14398i 1.34957 + 0.249438i
\(277\) 7.02355 0.924667i 0.422004 0.0555579i 0.0834660 0.996511i \(-0.473401\pi\)
0.338538 + 0.940953i \(0.390068\pi\)
\(278\) 26.4739 + 7.83482i 1.58780 + 0.469901i
\(279\) 2.33737 2.33737i 0.139935 0.139935i
\(280\) 5.57886 + 0.0163413i 0.333401 + 0.000976577i
\(281\) 3.43098 + 3.43098i 0.204675 + 0.204675i 0.802000 0.597324i \(-0.203770\pi\)
−0.597324 + 0.802000i \(0.703770\pi\)
\(282\) −14.0543 25.8696i −0.836923 1.54051i
\(283\) −2.97231 22.5769i −0.176685 1.34206i −0.818194 0.574943i \(-0.805024\pi\)
0.641508 0.767116i \(-0.278309\pi\)
\(284\) 3.20723 + 2.08055i 0.190314 + 0.123458i
\(285\) 4.73413 + 0.623260i 0.280426 + 0.0369188i
\(286\) −0.706031 0.971264i −0.0417485 0.0574320i
\(287\) 1.67619 8.86224i 0.0989422 0.523121i
\(288\) 4.33696 4.34769i 0.255558 0.256190i
\(289\) −8.46228 + 14.6571i −0.497781 + 0.862183i
\(290\) −0.897229 + 2.01655i −0.0526871 + 0.118416i
\(291\) 0.114531 0.149259i 0.00671391 0.00874974i
\(292\) 1.82677 + 0.0948317i 0.106904 + 0.00554960i
\(293\) −7.79492 3.22876i −0.455384 0.188626i 0.143187 0.989696i \(-0.454265\pi\)
−0.598572 + 0.801069i \(0.704265\pi\)
\(294\) −15.9608 + 12.0682i −0.930850 + 0.703832i
\(295\) −6.12121 6.12121i −0.356391 0.356391i
\(296\) 19.0389 + 13.0643i 1.10661 + 0.759347i
\(297\) 12.3462 + 3.30816i 0.716401 + 0.191959i
\(298\) −12.5702 + 11.9346i −0.728171 + 0.691351i
\(299\) 0.882573 + 1.15019i 0.0510405 + 0.0665173i
\(300\) 13.6672 + 11.6612i 0.789078 + 0.673262i
\(301\) −5.38992 25.8233i −0.310670 1.48843i
\(302\) 4.46420 28.2310i 0.256886 1.62451i
\(303\) −21.2201 12.2514i −1.21906 0.703825i
\(304\) −3.61193 12.1496i −0.207159 0.696826i
\(305\) −4.08348 + 2.35760i −0.233819 + 0.134996i
\(306\) 0.265277 0.327756i 0.0151649 0.0187365i
\(307\) −16.3850 + 6.78688i −0.935141 + 0.387348i −0.797626 0.603152i \(-0.793911\pi\)
−0.137514 + 0.990500i \(0.543911\pi\)
\(308\) −10.3185 + 14.1077i −0.587951 + 0.803863i
\(309\) −0.647714 + 1.56372i −0.0368472 + 0.0889569i
\(310\) −0.911019 + 3.07834i −0.0517424 + 0.174838i
\(311\) −16.9964 4.55416i −0.963775 0.258243i −0.257577 0.966258i \(-0.582924\pi\)
−0.706197 + 0.708015i \(0.749591\pi\)
\(312\) 1.46749 0.0779989i 0.0830803 0.00441582i
\(313\) −24.5359 + 6.57439i −1.38685 + 0.371606i −0.873606 0.486634i \(-0.838224\pi\)
−0.513248 + 0.858240i \(0.671558\pi\)
\(314\) −21.8217 13.3649i −1.23147 0.754228i
\(315\) 2.13788 + 0.119912i 0.120456 + 0.00675625i
\(316\) −26.3720 8.55437i −1.48354 0.481221i
\(317\) 5.22443 + 0.687809i 0.293433 + 0.0386312i 0.275806 0.961213i \(-0.411055\pi\)
0.0176274 + 0.999845i \(0.494389\pi\)
\(318\) −20.9710 9.33070i −1.17600 0.523240i
\(319\) −3.45747 5.98852i −0.193581 0.335293i
\(320\) −1.68541 + 5.72098i −0.0942173 + 0.319813i
\(321\) −0.354872 −0.0198070
\(322\) 12.0125 17.3508i 0.669433 0.966923i
\(323\) −0.333054 0.804063i −0.0185316 0.0447392i
\(324\) −16.4582 + 14.8337i −0.914343 + 0.824097i
\(325\) 0.149111 + 1.13261i 0.00827117 + 0.0628258i
\(326\) −0.477743 + 18.4182i −0.0264597 + 1.02009i
\(327\) 17.5576 4.70454i 0.970937 0.260162i
\(328\) 8.59442 + 4.37105i 0.474547 + 0.241351i
\(329\) −27.1730 + 2.03824i −1.49810 + 0.112372i
\(330\) 6.84428 1.64496i 0.376765 0.0905518i
\(331\) 3.22524 + 4.20322i 0.177275 + 0.231030i 0.873536 0.486759i \(-0.161821\pi\)
−0.696261 + 0.717789i \(0.745154\pi\)
\(332\) −27.6445 + 19.0197i −1.51719 + 1.04384i
\(333\) 7.03090 + 5.39500i 0.385291 + 0.295644i
\(334\) −10.8793 + 13.4416i −0.595289 + 0.735492i
\(335\) 1.17805i 0.0643637i
\(336\) −7.61235 19.9909i −0.415288 1.09059i
\(337\) 13.2457i 0.721540i −0.932655 0.360770i \(-0.882514\pi\)
0.932655 0.360770i \(-0.117486\pi\)
\(338\) −14.2179 11.5076i −0.773351 0.625931i
\(339\) 13.0412 + 10.0069i 0.708301 + 0.543498i
\(340\) −0.0744286 + 0.402692i −0.00403646 + 0.0218390i
\(341\) −6.12284 7.97944i −0.331571 0.432111i
\(342\) −1.13684 4.73015i −0.0614735 0.255777i
\(343\) 4.12491 + 18.0551i 0.222724 + 0.974881i
\(344\) 28.1159 + 2.19180i 1.51591 + 0.118174i
\(345\) −8.20941 + 2.19970i −0.441980 + 0.118428i
\(346\) 3.87932 + 0.100624i 0.208554 + 0.00540959i
\(347\) −0.339504 2.57879i −0.0182256 0.138437i 0.979913 0.199426i \(-0.0639078\pi\)
−0.998138 + 0.0609893i \(0.980574\pi\)
\(348\) 8.45152 + 0.438737i 0.453049 + 0.0235188i
\(349\) −2.18080 5.26491i −0.116735 0.281824i 0.854703 0.519118i \(-0.173740\pi\)
−0.971438 + 0.237294i \(0.923740\pi\)
\(350\) 15.0333 7.10743i 0.803562 0.379908i
\(351\) −0.994672 −0.0530917
\(352\) −11.3932 14.8100i −0.607261 0.789377i
\(353\) −12.7963 22.1639i −0.681079 1.17966i −0.974652 0.223726i \(-0.928178\pi\)
0.293573 0.955937i \(-0.405155\pi\)
\(354\) −13.4931 + 30.3263i −0.717152 + 1.61182i
\(355\) −1.41283 0.186003i −0.0749855 0.00987202i
\(356\) −18.8419 + 9.61215i −0.998617 + 0.509443i
\(357\) −0.662008 1.31114i −0.0350372 0.0693928i
\(358\) 0.694951 1.13469i 0.0367293 0.0599700i
\(359\) −14.9377 + 4.00253i −0.788380 + 0.211246i −0.630476 0.776209i \(-0.717140\pi\)
−0.157904 + 0.987455i \(0.550474\pi\)
\(360\) −0.762511 + 2.15835i −0.0401878 + 0.113755i
\(361\) 8.65360 + 2.31873i 0.455453 + 0.122038i
\(362\) 2.16795 + 0.641594i 0.113945 + 0.0337215i
\(363\) 0.0690665 0.166741i 0.00362505 0.00875165i
\(364\) 0.491474 1.26828i 0.0257602 0.0664759i
\(365\) −0.629952 + 0.260935i −0.0329732 + 0.0136579i
\(366\) 14.0533 + 11.3744i 0.734576 + 0.594548i
\(367\) −16.8198 + 9.71092i −0.877987 + 0.506906i −0.869994 0.493062i \(-0.835877\pi\)
−0.00799252 + 0.999968i \(0.502544\pi\)
\(368\) 14.2151 + 17.5187i 0.741011 + 0.913226i
\(369\) 3.20494 + 1.85037i 0.166842 + 0.0963265i
\(370\) −8.50134 1.34433i −0.441963 0.0698882i
\(371\) −15.8399 + 14.1574i −0.822367 + 0.735015i
\(372\) 12.2710 0.971848i 0.636220 0.0503880i
\(373\) 9.82411 + 12.8030i 0.508673 + 0.662915i 0.975131 0.221628i \(-0.0711369\pi\)
−0.466458 + 0.884543i \(0.654470\pi\)
\(374\) −0.883385 0.930433i −0.0456787 0.0481115i
\(375\) −13.7464 3.68335i −0.709863 0.190207i
\(376\) 6.03551 28.4987i 0.311258 1.46971i
\(377\) 0.380508 + 0.380508i 0.0195971 + 0.0195971i
\(378\) 4.42698 + 13.7852i 0.227699 + 0.709036i
\(379\) 8.51634 + 3.52758i 0.437455 + 0.181200i 0.590532 0.807015i \(-0.298918\pi\)
−0.153077 + 0.988214i \(0.548918\pi\)
\(380\) 3.16318 + 3.50958i 0.162268 + 0.180038i
\(381\) 17.0317 22.1962i 0.872561 1.13714i
\(382\) 16.5737 + 7.37419i 0.847986 + 0.377296i
\(383\) −5.43130 + 9.40729i −0.277526 + 0.480690i −0.970769 0.240014i \(-0.922848\pi\)
0.693243 + 0.720704i \(0.256181\pi\)
\(384\) 22.7946 1.83365i 1.16323 0.0935731i
\(385\) 1.21081 6.40172i 0.0617086 0.326262i
\(386\) −12.5401 + 9.11566i −0.638275 + 0.463975i
\(387\) 10.7313 + 1.41281i 0.545504 + 0.0718170i
\(388\) 0.182069 0.0387941i 0.00924317 0.00196947i
\(389\) −1.44322 10.9623i −0.0731741 0.555812i −0.988286 0.152613i \(-0.951231\pi\)
0.915112 0.403200i \(-0.132102\pi\)
\(390\) −0.481340 + 0.261500i −0.0243736 + 0.0132416i
\(391\) 1.09536 + 1.09536i 0.0553946 + 0.0553946i
\(392\) −19.7646 1.16666i −0.998262 0.0589253i
\(393\) 27.6300 27.6300i 1.39375 1.39375i
\(394\) −9.35045 + 31.5952i −0.471069 + 1.59175i
\(395\) 10.2461 1.34893i 0.515538 0.0678718i
\(396\) −4.06499 5.90833i −0.204273 0.296905i
\(397\) 2.42512 18.4206i 0.121713 0.924505i −0.816233 0.577723i \(-0.803941\pi\)
0.937946 0.346781i \(-0.112725\pi\)
\(398\) −6.53442 1.03329i −0.327541 0.0517944i
\(399\) −16.6508 3.14930i −0.833582 0.157662i
\(400\) 2.79827 + 17.5552i 0.139913 + 0.877762i
\(401\) 1.21956 + 0.704116i 0.0609022 + 0.0351619i 0.530142 0.847909i \(-0.322139\pi\)
−0.469240 + 0.883071i \(0.655472\pi\)
\(402\) −4.21660 + 1.61980i −0.210305 + 0.0807881i
\(403\) 0.620958 + 0.476478i 0.0309321 + 0.0237350i
\(404\) −8.10438 22.8502i −0.403208 1.13684i
\(405\) 3.16056 7.63028i 0.157050 0.379152i
\(406\) 3.57996 6.96701i 0.177671 0.345767i
\(407\) 19.0675 19.0675i 0.945140 0.945140i
\(408\) 1.54369 0.287291i 0.0764243 0.0142230i
\(409\) 5.19999 19.4066i 0.257123 0.959596i −0.709774 0.704429i \(-0.751203\pi\)
0.966897 0.255167i \(-0.0821304\pi\)
\(410\) −3.59293 0.0931958i −0.177442 0.00460261i
\(411\) −20.1092 + 15.4303i −0.991912 + 0.761121i
\(412\) −1.49183 + 0.761052i −0.0734970 + 0.0374943i
\(413\) 20.4730 + 22.9061i 1.00741 + 1.12714i
\(414\) 5.09133 + 7.00397i 0.250225 + 0.344227i
\(415\) 6.25399 10.8322i 0.306996 0.531733i
\(416\) 1.15470 + 0.883767i 0.0566138 + 0.0433303i
\(417\) 19.7302 + 34.1737i 0.966193 + 1.67349i
\(418\) −14.7210 + 1.55091i −0.720025 + 0.0758576i
\(419\) 6.86208 + 16.5665i 0.335235 + 0.809328i 0.998160 + 0.0606421i \(0.0193148\pi\)
−0.662925 + 0.748686i \(0.730685\pi\)
\(420\) 5.76645 + 5.50707i 0.281374 + 0.268718i
\(421\) 9.32287 + 3.86166i 0.454369 + 0.188206i 0.598117 0.801408i \(-0.295916\pi\)
−0.143748 + 0.989614i \(0.545916\pi\)
\(422\) −2.93150 5.39597i −0.142703 0.262672i
\(423\) 2.89378 10.7997i 0.140701 0.525102i
\(424\) −9.79273 20.4918i −0.475577 0.995169i
\(425\) 0.315918 + 1.17902i 0.0153243 + 0.0571910i
\(426\) 1.27686 + 5.31272i 0.0618640 + 0.257402i
\(427\) 14.9377 7.54222i 0.722887 0.364993i
\(428\) −0.267119 0.227913i −0.0129117 0.0110166i
\(429\) 0.224010 1.70152i 0.0108153 0.0821503i
\(430\) −9.81300 + 3.76964i −0.473225 + 0.181788i
\(431\) 18.6180 10.7491i 0.896798 0.517766i 0.0206379 0.999787i \(-0.493430\pi\)
0.876160 + 0.482021i \(0.160097\pi\)
\(432\) −15.4726 + 0.420469i −0.744426 + 0.0202298i
\(433\) 32.1640i 1.54570i −0.634587 0.772852i \(-0.718830\pi\)
0.634587 0.772852i \(-0.281170\pi\)
\(434\) 3.83985 10.7266i 0.184319 0.514892i
\(435\) −2.91446 + 1.20721i −0.139738 + 0.0578813i
\(436\) 16.2373 + 7.73496i 0.777627 + 0.370437i
\(437\) 17.7193 2.33279i 0.847631 0.111593i
\(438\) 1.80014 + 1.89601i 0.0860139 + 0.0905948i
\(439\) 2.81571 + 10.5084i 0.134386 + 0.501537i 1.00000 0.000823632i \(0.000262170\pi\)
−0.865613 + 0.500713i \(0.833071\pi\)
\(440\) 6.20826 + 3.15747i 0.295967 + 0.150527i
\(441\) −7.55141 0.849776i −0.359591 0.0404655i
\(442\) 0.0851423 + 0.0521464i 0.00404981 + 0.00248035i
\(443\) −18.5295 + 14.2182i −0.880363 + 0.675526i −0.946646 0.322275i \(-0.895553\pi\)
0.0662832 + 0.997801i \(0.478886\pi\)
\(444\) 6.87743 + 32.2773i 0.326388 + 1.53181i
\(445\) 4.79980 6.25523i 0.227532 0.296526i
\(446\) 3.79615 + 36.0323i 0.179753 + 1.70618i
\(447\) −24.7738 −1.17176
\(448\) 7.10899 19.9365i 0.335868 0.941909i
\(449\) 9.55987 0.451158 0.225579 0.974225i \(-0.427573\pi\)
0.225579 + 0.974225i \(0.427573\pi\)
\(450\) 0.714870 + 6.78540i 0.0336993 + 0.319867i
\(451\) 6.85489 8.93346i 0.322784 0.420660i
\(452\) 3.38954 + 15.9079i 0.159431 + 0.748244i
\(453\) 32.4092 24.8684i 1.52272 1.16842i
\(454\) −29.5745 18.1132i −1.38800 0.850096i
\(455\) 0.0379242 + 0.505592i 0.00177792 + 0.0237025i
\(456\) 8.21254 16.1476i 0.384588 0.756181i
\(457\) −2.17692 8.12438i −0.101832 0.380043i 0.896134 0.443783i \(-0.146364\pi\)
−0.997967 + 0.0637401i \(0.979697\pi\)
\(458\) 11.1134 + 11.7053i 0.519295 + 0.546952i
\(459\) −1.05370 + 0.138722i −0.0491823 + 0.00647498i
\(460\) −7.59209 3.61664i −0.353983 0.168627i
\(461\) 20.9004 8.65723i 0.973428 0.403207i 0.161441 0.986882i \(-0.448386\pi\)
0.811987 + 0.583675i \(0.198386\pi\)
\(462\) −24.5786 + 4.46839i −1.14350 + 0.207888i
\(463\) 33.6055i 1.56178i 0.624668 + 0.780891i \(0.285235\pi\)
−0.624668 + 0.780891i \(0.714765\pi\)
\(464\) 6.07983 + 5.75813i 0.282249 + 0.267315i
\(465\) −3.97366 + 2.29419i −0.184274 + 0.106391i
\(466\) 21.8023 8.37531i 1.00997 0.387979i
\(467\) 0.0300771 0.228458i 0.00139180 0.0105718i −0.990735 0.135810i \(-0.956636\pi\)
0.992127 + 0.125238i \(0.0399696\pi\)
\(468\) 0.424558 + 0.362244i 0.0196252 + 0.0167447i
\(469\) −0.234129 + 4.17424i −0.0108111 + 0.192748i
\(470\) 2.53751 + 10.5580i 0.117047 + 0.487004i
\(471\) −9.46598 35.3275i −0.436169 1.62781i
\(472\) −29.6332 + 14.1613i −1.36398 + 0.651826i
\(473\) 8.52404 31.8121i 0.391936 1.46272i
\(474\) −18.9164 34.8192i −0.868860 1.59930i
\(475\) 13.0107 + 5.38922i 0.596973 + 0.247274i
\(476\) 0.343758 1.41208i 0.0157561 0.0647227i
\(477\) −3.33582 8.05338i −0.152737 0.368739i
\(478\) 38.9231 4.10071i 1.78030 0.187562i
\(479\) 2.98768 + 5.17482i 0.136511 + 0.236444i 0.926174 0.377097i \(-0.123078\pi\)
−0.789663 + 0.613541i \(0.789744\pi\)
\(480\) −7.37693 + 4.27124i −0.336709 + 0.194954i
\(481\) −1.04922 + 1.81731i −0.0478404 + 0.0828621i
\(482\) −21.6689 29.8091i −0.986990 1.35777i
\(483\) 29.5259 6.16275i 1.34348 0.280415i
\(484\) 0.159075 0.0811519i 0.00723069 0.00368872i
\(485\) −0.0550514 + 0.0422424i −0.00249976 + 0.00191813i
\(486\) −15.2451 0.395437i −0.691532 0.0179374i
\(487\) 5.58824 20.8556i 0.253227 0.945057i −0.715841 0.698263i \(-0.753956\pi\)
0.969068 0.246793i \(-0.0793769\pi\)
\(488\) 3.27309 + 17.5872i 0.148166 + 0.796136i
\(489\) −18.6204 + 18.6204i −0.842045 + 0.842045i
\(490\) 6.83826 2.77583i 0.308921 0.125399i
\(491\) −10.1495 + 24.5032i −0.458043 + 1.10581i 0.511146 + 0.859494i \(0.329221\pi\)
−0.969189 + 0.246319i \(0.920779\pi\)
\(492\) 4.60664 + 12.9884i 0.207684 + 0.585560i
\(493\) 0.456155 + 0.350020i 0.0205442 + 0.0157641i
\(494\) 1.07531 0.413077i 0.0483804 0.0185852i
\(495\) 2.31512 + 1.33663i 0.104057 + 0.0600772i
\(496\) 9.86072 + 7.14935i 0.442759 + 0.321015i
\(497\) 4.96919 + 0.939864i 0.222899 + 0.0421587i
\(498\) −47.3710 7.49082i −2.12274 0.335672i
\(499\) −0.883086 + 6.70770i −0.0395324 + 0.300278i 0.960245 + 0.279160i \(0.0900559\pi\)
−0.999777 + 0.0211181i \(0.993277\pi\)
\(500\) −7.98159 11.6010i −0.356948 0.518813i
\(501\) −24.5043 + 3.22605i −1.09477 + 0.144129i
\(502\) −5.12202 + 17.3074i −0.228607 + 0.772466i
\(503\) −3.04175 + 3.04175i −0.135625 + 0.135625i −0.771660 0.636035i \(-0.780573\pi\)
0.636035 + 0.771660i \(0.280573\pi\)
\(504\) 3.13079 7.49623i 0.139457 0.333908i
\(505\) 6.39039 + 6.39039i 0.284369 + 0.284369i
\(506\) 23.1510 12.5774i 1.02919 0.559132i
\(507\) −3.41236 25.9195i −0.151548 1.15112i
\(508\) 27.0753 5.76902i 1.20127 0.255959i
\(509\) −4.11101 0.541224i −0.182217 0.0239893i 0.0388653 0.999244i \(-0.487626\pi\)
−0.221082 + 0.975255i \(0.570959\pi\)
\(510\) −0.473433 + 0.344148i −0.0209640 + 0.0152391i
\(511\) 2.28399 0.799382i 0.101038 0.0353626i
\(512\) 18.3355 + 13.2593i 0.810322 + 0.585985i
\(513\) −6.13091 + 10.6191i −0.270686 + 0.468843i
\(514\) −16.0045 7.12092i −0.705928 0.314090i
\(515\) 0.380030 0.495264i 0.0167461 0.0218239i
\(516\) 26.9854 + 29.9405i 1.18797 + 1.31806i
\(517\) −31.4304 13.0189i −1.38231 0.572570i
\(518\) 29.8560 + 6.45299i 1.31180 + 0.283528i
\(519\) 3.92192 + 3.92192i 0.172153 + 0.172153i
\(520\) −0.530258 0.112299i −0.0232534 0.00492464i
\(521\) 42.1708 + 11.2996i 1.84754 + 0.495046i 0.999397 0.0347293i \(-0.0110569\pi\)
0.848138 + 0.529775i \(0.177724\pi\)
\(522\) 2.21292 + 2.33077i 0.0968567 + 0.102015i
\(523\) 8.39693 + 10.9431i 0.367172 + 0.478508i 0.940003 0.341165i \(-0.110822\pi\)
−0.572831 + 0.819673i \(0.694155\pi\)
\(524\) 38.5426 3.05253i 1.68374 0.133351i
\(525\) 22.5765 + 7.42727i 0.985318 + 0.324152i
\(526\) −10.8107 1.70950i −0.471367 0.0745378i
\(527\) 0.724258 + 0.418150i 0.0315492 + 0.0182149i
\(528\) 2.76531 26.5627i 0.120345 1.15599i
\(529\) −7.63040 + 4.40541i −0.331756 + 0.191540i
\(530\) 6.58049 + 5.32608i 0.285838 + 0.231350i
\(531\) −11.6460 + 4.82393i −0.505393 + 0.209341i
\(532\) −10.5107 13.0643i −0.455698 0.566410i
\(533\) −0.335338 + 0.809577i −0.0145251 + 0.0350667i
\(534\) −28.9890 8.57914i −1.25448 0.371256i
\(535\) 0.126428 + 0.0338762i 0.00546595 + 0.00146460i
\(536\) −4.21420 1.48881i −0.182026 0.0643069i
\(537\) 1.83696 0.492212i 0.0792707 0.0212405i
\(538\) −6.35392 + 10.3744i −0.273937 + 0.447273i
\(539\) −5.56261 + 22.4429i −0.239599 + 0.966683i
\(540\) 5.13948 2.62189i 0.221168 0.112828i
\(541\) −11.5998 1.52714i −0.498715 0.0656570i −0.123027 0.992403i \(-0.539260\pi\)
−0.375688 + 0.926746i \(0.622593\pi\)
\(542\) −15.1414 + 34.0307i −0.650378 + 1.46174i
\(543\) 1.61571 + 2.79849i 0.0693367 + 0.120095i
\(544\) 1.34647 + 0.775171i 0.0577296 + 0.0332352i
\(545\) −6.70421 −0.287177
\(546\) 1.75752 0.830922i 0.0752151 0.0355602i
\(547\) 4.82313 + 11.6441i 0.206222 + 0.497865i 0.992822 0.119598i \(-0.0381606\pi\)
−0.786600 + 0.617463i \(0.788161\pi\)
\(548\) −25.0464 1.30022i −1.06993 0.0555425i
\(549\) 0.896202 + 6.80733i 0.0382490 + 0.290530i
\(550\) 20.7535 + 0.538316i 0.884930 + 0.0229539i
\(551\) 6.40763 1.71692i 0.272974 0.0731432i
\(552\) −2.50606 + 32.1472i −0.106665 + 1.36828i
\(553\) −36.5736 + 2.74337i −1.55527 + 0.116660i
\(554\) 2.34118 + 9.74111i 0.0994672 + 0.413860i
\(555\) −7.48875 9.75953i −0.317880 0.414269i
\(556\) −7.09640 + 38.3946i −0.300954 + 1.62830i
\(557\) 9.18100 + 7.04483i 0.389011 + 0.298499i 0.784688 0.619891i \(-0.212823\pi\)
−0.395676 + 0.918390i \(0.629490\pi\)
\(558\) 3.63368 + 2.94101i 0.153826 + 0.124503i
\(559\) 2.56294i 0.108401i
\(560\) 0.803655 + 7.84870i 0.0339606 + 0.331668i
\(561\) 1.83373i 0.0774204i
\(562\) −4.31705 + 5.33381i −0.182104 + 0.224993i
\(563\) 8.59744 + 6.59705i 0.362339 + 0.278032i 0.773846 0.633374i \(-0.218331\pi\)
−0.411507 + 0.911407i \(0.634997\pi\)
\(564\) 34.3013 23.5996i 1.44434 0.993722i
\(565\) −3.69083 4.80999i −0.155275 0.202358i
\(566\) 31.3124 7.52564i 1.31616 0.316326i
\(567\) −12.7154 + 26.4086i −0.533998 + 1.10906i
\(568\) −2.45092 + 4.81902i −0.102838 + 0.202202i
\(569\) 22.4880 6.02563i 0.942745 0.252608i 0.245464 0.969406i \(-0.421060\pi\)
0.697281 + 0.716798i \(0.254393\pi\)
\(570\) −0.175101 + 6.75058i −0.00733416 + 0.282751i
\(571\) 2.05675 + 15.6226i 0.0860725 + 0.653785i 0.979041 + 0.203665i \(0.0652855\pi\)
−0.892968 + 0.450120i \(0.851381\pi\)
\(572\) 1.26140 1.13690i 0.0527418 0.0475361i
\(573\) 9.92188 + 23.9535i 0.414492 + 1.00067i
\(574\) 12.7125 + 1.04429i 0.530609 + 0.0435880i
\(575\) −25.0659 −1.04532
\(576\) 6.75734 + 5.45542i 0.281556 + 0.227309i
\(577\) 8.37214 + 14.5010i 0.348537 + 0.603683i 0.985990 0.166806i \(-0.0533454\pi\)
−0.637453 + 0.770489i \(0.720012\pi\)
\(578\) −21.8681 9.72982i −0.909592 0.404707i
\(579\) −21.9686 2.89222i −0.912983 0.120197i
\(580\) −2.96908 0.963091i −0.123284 0.0399902i
\(581\) −24.3129 + 37.1394i −1.00867 + 1.54080i
\(582\) 0.226893 + 0.138963i 0.00940503 + 0.00576021i
\(583\) −25.6195 + 6.86472i −1.06105 + 0.284308i
\(584\) 0.137304 + 2.58328i 0.00568169 + 0.106897i
\(585\) −0.200944 0.0538429i −0.00830803 0.00222613i
\(586\) 3.38603 11.4414i 0.139876 0.472641i
\(587\) −9.89537 + 23.8895i −0.408426 + 0.986027i 0.577127 + 0.816655i \(0.304174\pi\)
−0.985552 + 0.169372i \(0.945826\pi\)
\(588\) −19.3380 20.6595i −0.797487 0.851983i
\(589\) 8.91428 3.69242i 0.367306 0.152143i
\(590\) 7.70206 9.51606i 0.317089 0.391770i
\(591\) −40.7845 + 23.5470i −1.67765 + 0.968593i
\(592\) −15.5530 + 28.7126i −0.639223 + 1.18008i
\(593\) −28.7707 16.6108i −1.18147 0.682122i −0.225116 0.974332i \(-0.572276\pi\)
−0.956354 + 0.292210i \(0.905609\pi\)
\(594\) −2.82332 + 17.8543i −0.115842 + 0.732570i
\(595\) 0.110687 + 0.530305i 0.00453773 + 0.0217404i
\(596\) −18.6477 15.9107i −0.763839 0.651728i
\(597\) −5.75611 7.50151i −0.235582 0.307016i
\(598\) −1.48689 + 1.41170i −0.0608034 + 0.0577289i
\(599\) 18.1266 + 4.85700i 0.740631 + 0.198452i 0.609359 0.792895i \(-0.291427\pi\)
0.131273 + 0.991346i \(0.458094\pi\)
\(600\) −14.3756 + 20.9499i −0.586882 + 0.855276i
\(601\) −18.6060 18.6060i −0.758956 0.758956i 0.217176 0.976132i \(-0.430315\pi\)
−0.976132 + 0.217176i \(0.930315\pi\)
\(602\) 35.5200 11.4069i 1.44769 0.464909i
\(603\) −1.58485 0.656466i −0.0645400 0.0267334i
\(604\) 40.3664 + 2.09551i 1.64248 + 0.0852650i
\(605\) −0.0405230 + 0.0528106i −0.00164750 + 0.00214706i
\(606\) 14.0865 31.6598i 0.572225 1.28609i
\(607\) 19.6219 33.9861i 0.796427 1.37945i −0.125502 0.992093i \(-0.540054\pi\)
0.921929 0.387359i \(-0.126612\pi\)
\(608\) 16.5523 6.88017i 0.671286 0.279028i
\(609\) 10.5669 3.69833i 0.428191 0.149864i
\(610\) −3.92086 5.39379i −0.158751 0.218388i
\(611\) 2.62477 + 0.345558i 0.106187 + 0.0139798i
\(612\) 0.500272 + 0.324529i 0.0202223 + 0.0131183i
\(613\) −2.08519 15.8386i −0.0842198 0.639713i −0.980542 0.196310i \(-0.937104\pi\)
0.896322 0.443403i \(-0.146229\pi\)
\(614\) −11.9731 22.0387i −0.483195 0.889410i
\(615\) −3.63239 3.63239i −0.146472 0.146472i
\(616\) −21.3705 12.4219i −0.861041 0.500491i
\(617\) −13.0001 + 13.0001i −0.523363 + 0.523363i −0.918585 0.395223i \(-0.870667\pi\)
0.395223 + 0.918585i \(0.370667\pi\)
\(618\) −2.29524 0.679263i −0.0923279 0.0273240i
\(619\) 35.2134 4.63593i 1.41534 0.186334i 0.616255 0.787547i \(-0.288649\pi\)
0.799089 + 0.601213i \(0.205316\pi\)
\(620\) −4.46446 0.825157i −0.179297 0.0331391i
\(621\) 2.84871 21.6381i 0.114315 0.868308i
\(622\) 3.88670 24.5790i 0.155843 0.985527i
\(623\) −18.2505 + 21.2105i −0.731192 + 0.849780i
\(624\) 0.327143 + 2.05237i 0.0130962 + 0.0821604i
\(625\) −14.6983 8.48606i −0.587931 0.339442i
\(626\) −12.8820 33.5339i −0.514868 1.34029i
\(627\) −16.7846 12.8793i −0.670313 0.514349i
\(628\) 15.5635 32.6710i 0.621050 1.30372i
\(629\) −0.858034 + 2.07148i −0.0342121 + 0.0825952i
\(630\) 0.148129 + 3.02454i 0.00590160 + 0.120501i
\(631\) 16.4788 16.4788i 0.656012 0.656012i −0.298422 0.954434i \(-0.596460\pi\)
0.954434 + 0.298422i \(0.0964604\pi\)
\(632\) 8.12350 38.3579i 0.323135 1.52579i
\(633\) 2.27163 8.47784i 0.0902892 0.336964i
\(634\) −0.193235 + 7.44970i −0.00767435 + 0.295866i
\(635\) −8.18662 + 6.28181i −0.324876 + 0.249286i
\(636\) 10.0156 30.8769i 0.397146 1.22435i
\(637\) −0.0338958 1.79902i −0.00134300 0.0712799i
\(638\) 7.91013 5.75003i 0.313165 0.227646i
\(639\) −1.03753 + 1.79706i −0.0410441 + 0.0710905i
\(640\) −8.29590 1.52271i −0.327924 0.0601906i
\(641\) −13.9878 24.2276i −0.552484 0.956931i −0.998095 0.0617037i \(-0.980347\pi\)
0.445610 0.895227i \(-0.352987\pi\)
\(642\) −0.0525826 0.499103i −0.00207527 0.0196980i
\(643\) 0.627316 + 1.51447i 0.0247389 + 0.0597251i 0.935766 0.352621i \(-0.114709\pi\)
−0.911027 + 0.412346i \(0.864709\pi\)
\(644\) 26.1826 + 14.3239i 1.03174 + 0.564440i
\(645\) −13.8809 5.74967i −0.546561 0.226393i
\(646\) 1.08151 0.587557i 0.0425514 0.0231171i
\(647\) 9.24168 34.4904i 0.363328 1.35596i −0.506346 0.862331i \(-0.669004\pi\)
0.869674 0.493627i \(-0.164329\pi\)
\(648\) −23.3013 20.9493i −0.915360 0.822966i
\(649\) 9.92709 + 37.0484i 0.389672 + 1.45428i
\(650\) −1.57084 + 0.377536i −0.0616134 + 0.0148082i
\(651\) 14.5360 7.33938i 0.569711 0.287653i
\(652\) −25.9747 + 2.05717i −1.01725 + 0.0805649i
\(653\) −4.43023 + 33.6510i −0.173368 + 1.31686i 0.654551 + 0.756018i \(0.272858\pi\)
−0.827920 + 0.560847i \(0.810476\pi\)
\(654\) 9.21817 + 23.9964i 0.360459 + 0.938334i
\(655\) −12.4811 + 7.20597i −0.487677 + 0.281560i
\(656\) −4.87412 + 12.7351i −0.190302 + 0.497223i
\(657\) 0.992889i 0.0387363i
\(658\) −6.89295 37.9149i −0.268715 1.47808i
\(659\) 36.6698 15.1891i 1.42845 0.591685i 0.471484 0.881875i \(-0.343719\pi\)
0.956969 + 0.290190i \(0.0937185\pi\)
\(660\) 3.32765 + 9.38226i 0.129529 + 0.365204i
\(661\) −45.8806 + 6.04030i −1.78455 + 0.234940i −0.949177 0.314744i \(-0.898081\pi\)
−0.835372 + 0.549685i \(0.814748\pi\)
\(662\) −5.43363 + 5.15888i −0.211184 + 0.200505i
\(663\) 0.0369337 + 0.137838i 0.00143438 + 0.00535319i
\(664\) −30.8460 36.0619i −1.19706 1.39947i
\(665\) 5.63143 + 2.71147i 0.218377 + 0.105146i
\(666\) −6.54589 + 10.6879i −0.253648 + 0.414146i
\(667\) −9.36734 + 7.18782i −0.362705 + 0.278313i
\(668\) −20.5167 13.3093i −0.793814 0.514952i
\(669\) −31.5245 + 41.0835i −1.21881 + 1.58838i
\(670\) 1.65684 0.174555i 0.0640095 0.00674366i
\(671\) 20.8916 0.806513
\(672\) 26.9879 13.6683i 1.04108 0.527268i
\(673\) 34.9075 1.34559 0.672793 0.739831i \(-0.265095\pi\)
0.672793 + 0.739831i \(0.265095\pi\)
\(674\) 18.6292 1.96266i 0.717569 0.0755988i
\(675\) 10.4690 13.6435i 0.402953 0.525138i
\(676\) 14.0779 21.7016i 0.541458 0.834676i
\(677\) 4.61281 3.53953i 0.177285 0.136035i −0.516307 0.856403i \(-0.672694\pi\)
0.693592 + 0.720368i \(0.256027\pi\)
\(678\) −12.1416 + 19.8243i −0.466295 + 0.761347i
\(679\) 0.203461 0.138738i 0.00780813 0.00532429i
\(680\) −0.577386 0.0450106i −0.0221417 0.00172608i
\(681\) −12.8290 47.8786i −0.491610 1.83471i
\(682\) 10.3153 9.79369i 0.394993 0.375020i
\(683\) −25.3273 + 3.33440i −0.969122 + 0.127587i −0.598436 0.801171i \(-0.704211\pi\)
−0.370686 + 0.928758i \(0.620877\pi\)
\(684\) 6.48417 2.29977i 0.247928 0.0879340i
\(685\) 8.63713 3.57762i 0.330008 0.136694i
\(686\) −24.7820 + 8.47667i −0.946180 + 0.323641i
\(687\) 23.0693i 0.880147i
\(688\) 1.08341 + 39.8678i 0.0413047 + 1.51995i
\(689\) 1.78750 1.03202i 0.0680985 0.0393167i
\(690\) −4.31014 11.2200i −0.164084 0.427139i
\(691\) 4.74734 36.0596i 0.180597 1.37177i −0.625609 0.780137i \(-0.715149\pi\)
0.806206 0.591635i \(-0.201517\pi\)
\(692\) 0.433290 + 5.47090i 0.0164712 + 0.207972i
\(693\) −7.93761 5.19627i −0.301525 0.197390i
\(694\) 3.57659 0.859597i 0.135765 0.0326299i
\(695\) −3.76690 14.0583i −0.142887 0.533261i
\(696\) 0.635235 + 11.9515i 0.0240785 + 0.453020i
\(697\) −0.242329 + 0.904386i −0.00917888 + 0.0342560i
\(698\) 7.08159 3.84725i 0.268042 0.145621i
\(699\) 30.8404 + 12.7745i 1.16649 + 0.483176i
\(700\) 12.2236 + 20.0901i 0.462010 + 0.759334i
\(701\) −8.73457 21.0871i −0.329900 0.796449i −0.998599 0.0529159i \(-0.983148\pi\)
0.668699 0.743533i \(-0.266852\pi\)
\(702\) −0.147384 1.39894i −0.00556264 0.0527994i
\(703\) 12.9343 + 22.4029i 0.487827 + 0.844940i
\(704\) 19.1411 18.2182i 0.721407 0.686625i
\(705\) −7.75993 + 13.4406i −0.292256 + 0.506202i
\(706\) 29.2758 21.2812i 1.10181 0.800928i
\(707\) −21.3733 23.9134i −0.803826 0.899356i
\(708\) −44.6511 14.4836i −1.67809 0.544328i
\(709\) −0.989203 + 0.759042i −0.0371503 + 0.0285064i −0.627170 0.778883i \(-0.715787\pi\)
0.590019 + 0.807389i \(0.299120\pi\)
\(710\) 0.0522563 2.01461i 0.00196114 0.0756071i
\(711\) 3.89489 14.5359i 0.146070 0.545140i
\(712\) −16.3107 25.0755i −0.611268 0.939745i
\(713\) −12.1437 + 12.1437i −0.454786 + 0.454786i
\(714\) 1.74593 1.12534i 0.0653399 0.0421149i
\(715\) −0.242234 + 0.584805i −0.00905905 + 0.0218705i
\(716\) 1.69883 + 0.809269i 0.0634882 + 0.0302438i
\(717\) 44.3795 + 34.0536i 1.65738 + 1.27176i
\(718\) −7.84264 20.4157i −0.292685 0.761907i
\(719\) −0.246628 0.142391i −0.00919766 0.00531027i 0.495394 0.868668i \(-0.335024\pi\)
−0.504592 + 0.863358i \(0.668357\pi\)
\(720\) −3.14855 0.752609i −0.117339 0.0280481i
\(721\) −1.44501 + 1.67936i −0.0538148 + 0.0625427i
\(722\) −1.97889 + 12.5143i −0.0736468 + 0.465732i
\(723\) 6.87510 52.2216i 0.255688 1.94214i
\(724\) −0.581125 + 3.14414i −0.0215973 + 0.116851i
\(725\) −9.22414 + 1.21438i −0.342576 + 0.0451010i
\(726\) 0.244744 + 0.0724307i 0.00908330 + 0.00268815i
\(727\) −2.93684 + 2.93684i −0.108921 + 0.108921i −0.759467 0.650546i \(-0.774540\pi\)
0.650546 + 0.759467i \(0.274540\pi\)
\(728\) 1.85657 + 0.503299i 0.0688090 + 0.0186535i
\(729\) 8.08802 + 8.08802i 0.299556 + 0.299556i
\(730\) −0.460328 0.847319i −0.0170375 0.0313607i
\(731\) 0.357440 + 2.71503i 0.0132204 + 0.100419i
\(732\) −13.9149 + 21.4503i −0.514311 + 0.792827i
\(733\) 0.107779 + 0.0141894i 0.00398092 + 0.000524097i 0.132516 0.991181i \(-0.457694\pi\)
−0.128535 + 0.991705i \(0.541028\pi\)
\(734\) −16.1500 22.2170i −0.596106 0.820043i
\(735\) 9.81958 + 3.85233i 0.362201 + 0.142095i
\(736\) −22.5325 + 22.5883i −0.830560 + 0.832615i
\(737\) −2.60980 + 4.52030i −0.0961331 + 0.166507i
\(738\) −2.12753 + 4.78170i −0.0783156 + 0.176017i
\(739\) −22.0513 + 28.7378i −0.811169 + 1.05714i 0.186045 + 0.982541i \(0.440433\pi\)
−0.997214 + 0.0745946i \(0.976234\pi\)
\(740\) 0.631030 12.1557i 0.0231971 0.446853i
\(741\) 1.52107 + 0.630048i 0.0558780 + 0.0231454i
\(742\) −22.2584 20.1800i −0.817132 0.740830i
\(743\) −23.8662 23.8662i −0.875568 0.875568i 0.117505 0.993072i \(-0.462511\pi\)
−0.993072 + 0.117505i \(0.962511\pi\)
\(744\) 3.18506 + 17.1142i 0.116770 + 0.627439i
\(745\) 8.82600 + 2.36492i 0.323360 + 0.0866439i
\(746\) −16.5509 + 15.7140i −0.605971 + 0.575330i
\(747\) −11.0877 14.4498i −0.405679 0.528691i
\(748\) 1.17769 1.38028i 0.0430608 0.0504682i
\(749\) −0.441245 0.145162i −0.0161227 0.00530410i
\(750\) 3.14352 19.8792i 0.114785 0.725885i
\(751\) 29.5087 + 17.0368i 1.07679 + 0.621683i 0.930028 0.367489i \(-0.119783\pi\)
0.146759 + 0.989172i \(0.453116\pi\)
\(752\) 40.9757 + 4.26578i 1.49423 + 0.155557i
\(753\) −22.3411 + 12.8986i −0.814155 + 0.470053i
\(754\) −0.478776 + 0.591538i −0.0174360 + 0.0215426i
\(755\) −13.9201 + 5.76590i −0.506605 + 0.209843i
\(756\) −18.7320 + 8.26884i −0.681277 + 0.300735i
\(757\) −15.0712 + 36.3851i −0.547772 + 1.32244i 0.371360 + 0.928489i \(0.378892\pi\)
−0.919132 + 0.393950i \(0.871108\pi\)
\(758\) −3.69941 + 12.5003i −0.134368 + 0.454032i
\(759\) 36.3735 + 9.74624i 1.32027 + 0.353766i
\(760\) −4.46728 + 4.96882i −0.162045 + 0.180238i
\(761\) −16.2032 + 4.34164i −0.587366 + 0.157384i −0.540249 0.841505i \(-0.681670\pi\)
−0.0471169 + 0.998889i \(0.515003\pi\)
\(762\) 33.7410 + 20.6650i 1.22231 + 0.748615i
\(763\) 23.7553 + 1.33241i 0.860000 + 0.0482366i
\(764\) −7.91550 + 24.4024i −0.286373 + 0.882849i
\(765\) −0.220378 0.0290133i −0.00796777 0.00104898i
\(766\) −14.0355 6.24484i −0.507122 0.225635i
\(767\) −1.49240 2.58491i −0.0538874 0.0933357i
\(768\) 5.95644 + 31.7873i 0.214935 + 1.14702i
\(769\) 44.5030 1.60482 0.802410 0.596773i \(-0.203551\pi\)
0.802410 + 0.596773i \(0.203551\pi\)
\(770\) 9.18298 + 0.754356i 0.330932 + 0.0271851i
\(771\) −9.58110 23.1308i −0.345055 0.833037i
\(772\) −14.6786 16.2861i −0.528296 0.586149i