Properties

Label 280.2.bj.f.171.12
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 171.12
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.f.131.12

$q$-expansion

\(f(q)\) \(=\) \(q+(1.39149 + 0.252502i) q^{2} +(-1.84104 - 1.06293i) q^{3} +(1.87249 + 0.702708i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.29340 - 1.94392i) q^{6} +(2.17552 - 1.50569i) q^{7} +(2.42811 + 1.45062i) q^{8} +(0.759621 + 1.31570i) q^{9} +O(q^{10})\) \(q+(1.39149 + 0.252502i) q^{2} +(-1.84104 - 1.06293i) q^{3} +(1.87249 + 0.702708i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.29340 - 1.94392i) q^{6} +(2.17552 - 1.50569i) q^{7} +(2.42811 + 1.45062i) q^{8} +(0.759621 + 1.31570i) q^{9} +(-0.477071 - 1.33132i) q^{10} +(2.04422 - 3.54069i) q^{11} +(-2.70039 - 3.28403i) q^{12} -4.95585 q^{13} +(3.40741 - 1.54583i) q^{14} +2.12585i q^{15} +(3.01240 + 2.63162i) q^{16} +(2.09103 + 1.20726i) q^{17} +(0.724787 + 2.02259i) q^{18} +(5.22809 - 3.01844i) q^{19} +(-0.327679 - 1.97297i) q^{20} +(-5.60566 + 0.459619i) q^{21} +(3.73854 - 4.41066i) q^{22} +(0.443005 - 0.255769i) q^{23} +(-2.92835 - 5.25154i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-6.89601 - 1.25136i) q^{26} +3.14787i q^{27} +(5.13169 - 1.29062i) q^{28} +3.08127i q^{29} +(-0.536782 + 2.95810i) q^{30} +(-2.30669 + 3.99530i) q^{31} +(3.52723 + 4.42251i) q^{32} +(-7.52697 + 4.34570i) q^{33} +(2.60481 + 2.20788i) q^{34} +(-2.39173 - 1.13121i) q^{35} +(0.497824 + 2.99742i) q^{36} +(-8.64910 + 4.99356i) q^{37} +(8.03700 - 2.88002i) q^{38} +(9.12392 + 5.26770i) q^{39} +(0.0422184 - 2.82811i) q^{40} +5.81092i q^{41} +(-7.91627 - 0.775887i) q^{42} -10.7069 q^{43} +(6.31584 - 5.19340i) q^{44} +(0.759621 - 1.31570i) q^{45} +(0.681020 - 0.244040i) q^{46} +(-0.698912 - 1.21055i) q^{47} +(-2.74874 - 8.04688i) q^{48} +(2.46579 - 6.55133i) q^{49} +(-0.914418 + 1.07881i) q^{50} +(-2.56645 - 4.44522i) q^{51} +(-9.27975 - 3.48252i) q^{52} +(6.79325 + 3.92208i) q^{53} +(-0.794845 + 4.38023i) q^{54} -4.08843 q^{55} +(7.46658 - 0.500126i) q^{56} -12.8335 q^{57} +(-0.778027 + 4.28755i) q^{58} +(8.82516 + 5.09521i) q^{59} +(-1.49385 + 3.98062i) q^{60} +(1.33141 + 2.30607i) q^{61} +(-4.21856 + 4.97698i) q^{62} +(3.63361 + 1.71859i) q^{63} +(3.79141 + 7.04451i) q^{64} +(2.47792 + 4.29189i) q^{65} +(-11.5710 + 4.14642i) q^{66} +(3.46437 - 6.00046i) q^{67} +(3.06708 + 3.72996i) q^{68} -1.08745 q^{69} +(-3.04243 - 2.17799i) q^{70} +1.54183i q^{71} +(-0.0641399 + 4.29659i) q^{72} +(6.99634 + 4.03934i) q^{73} +(-13.2960 + 4.76457i) q^{74} +(1.84104 - 1.06293i) q^{75} +(11.9106 - 1.97816i) q^{76} +(-0.883939 - 10.7808i) q^{77} +(11.3657 + 9.63375i) q^{78} +(-3.21095 + 1.85384i) q^{79} +(0.772851 - 3.92463i) q^{80} +(5.62481 - 9.74247i) q^{81} +(-1.46727 + 8.08584i) q^{82} -9.94035i q^{83} +(-10.8195 - 3.07852i) q^{84} -2.41452i q^{85} +(-14.8985 - 2.70351i) q^{86} +(3.27516 - 5.67274i) q^{87} +(10.0998 - 5.63179i) q^{88} +(-3.81064 + 2.20007i) q^{89} +(1.38922 - 1.63898i) q^{90} +(-10.7816 + 7.46197i) q^{91} +(1.00925 - 0.167621i) q^{92} +(8.49342 - 4.90368i) q^{93} +(-0.666861 - 1.86095i) q^{94} +(-5.22809 - 3.01844i) q^{95} +(-1.79298 - 11.8912i) q^{96} -5.67803i q^{97} +(5.08535 - 8.49348i) q^{98} +6.21132 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 10q^{12} + 20q^{13} + 5q^{14} - 3q^{16} + 6q^{17} + 3q^{18} + 18q^{19} - 2q^{20} - 26q^{21} - 16q^{22} + 18q^{23} - 18q^{24} - 12q^{25} - 37q^{26} - 41q^{28} - 8q^{30} - 6q^{31} + 3q^{32} + 12q^{33} - 20q^{34} - 8q^{35} - 22q^{36} + 15q^{38} - 18q^{39} + 3q^{40} - 12q^{42} + 32q^{43} + 35q^{44} + 12q^{45} - 49q^{46} - 14q^{48} + 8q^{49} - 22q^{51} - 41q^{52} + 30q^{53} + 104q^{54} - 16q^{55} + 44q^{56} - 44q^{57} - 54q^{58} - 18q^{59} - 8q^{60} + 22q^{61} + 8q^{62} - 12q^{63} + 58q^{64} - 10q^{65} + 8q^{66} - 8q^{67} + 18q^{68} - 12q^{69} - q^{70} - 17q^{72} + 30q^{73} + 53q^{74} - 12q^{75} + 8q^{76} - 32q^{77} - 8q^{78} + 6q^{79} - 3q^{80} - 4q^{81} - 57q^{82} + 42q^{86} + 14q^{87} - 17q^{88} - 60q^{89} + 24q^{90} + 18q^{91} - 38q^{92} - 18q^{93} + 19q^{94} - 18q^{95} - 74q^{96} + 3q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.39149 + 0.252502i 0.983932 + 0.178546i
\(3\) −1.84104 1.06293i −1.06293 0.613680i −0.136685 0.990615i \(-0.543645\pi\)
−0.926240 + 0.376934i \(0.876978\pi\)
\(4\) 1.87249 + 0.702708i 0.936243 + 0.351354i
\(5\) −0.500000 0.866025i −0.223607 0.387298i
\(6\) −2.29340 1.94392i −0.936276 0.793601i
\(7\) 2.17552 1.50569i 0.822270 0.569097i
\(8\) 2.42811 + 1.45062i 0.858466 + 0.512871i
\(9\) 0.759621 + 1.31570i 0.253207 + 0.438567i
\(10\) −0.477071 1.33132i −0.150863 0.420999i
\(11\) 2.04422 3.54069i 0.616354 1.06756i −0.373791 0.927513i \(-0.621942\pi\)
0.990145 0.140044i \(-0.0447245\pi\)
\(12\) −2.70039 3.28403i −0.779537 0.948017i
\(13\) −4.95585 −1.37450 −0.687252 0.726419i \(-0.741183\pi\)
−0.687252 + 0.726419i \(0.741183\pi\)
\(14\) 3.40741 1.54583i 0.910668 0.413140i
\(15\) 2.12585i 0.548892i
\(16\) 3.01240 + 2.63162i 0.753100 + 0.657906i
\(17\) 2.09103 + 1.20726i 0.507150 + 0.292803i 0.731661 0.681668i \(-0.238745\pi\)
−0.224511 + 0.974471i \(0.572079\pi\)
\(18\) 0.724787 + 2.02259i 0.170834 + 0.476729i
\(19\) 5.22809 3.01844i 1.19941 0.692478i 0.238984 0.971024i \(-0.423186\pi\)
0.960423 + 0.278546i \(0.0898525\pi\)
\(20\) −0.327679 1.97297i −0.0732713 0.441170i
\(21\) −5.60566 + 0.459619i −1.22326 + 0.100297i
\(22\) 3.73854 4.41066i 0.797059 0.940356i
\(23\) 0.443005 0.255769i 0.0923730 0.0533316i −0.453102 0.891459i \(-0.649683\pi\)
0.545475 + 0.838127i \(0.316349\pi\)
\(24\) −2.92835 5.25154i −0.597746 1.07197i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −6.89601 1.25136i −1.35242 0.245412i
\(27\) 3.14787i 0.605808i
\(28\) 5.13169 1.29062i 0.969799 0.243905i
\(29\) 3.08127i 0.572177i 0.958203 + 0.286088i \(0.0923551\pi\)
−0.958203 + 0.286088i \(0.907645\pi\)
\(30\) −0.536782 + 2.95810i −0.0980026 + 0.540072i
\(31\) −2.30669 + 3.99530i −0.414294 + 0.717578i −0.995354 0.0962826i \(-0.969305\pi\)
0.581060 + 0.813861i \(0.302638\pi\)
\(32\) 3.52723 + 4.42251i 0.623533 + 0.781797i
\(33\) −7.52697 + 4.34570i −1.31028 + 0.756489i
\(34\) 2.60481 + 2.20788i 0.446722 + 0.378648i
\(35\) −2.39173 1.13121i −0.404276 0.191210i
\(36\) 0.497824 + 2.99742i 0.0829706 + 0.499571i
\(37\) −8.64910 + 4.99356i −1.42190 + 0.820937i −0.996462 0.0840489i \(-0.973215\pi\)
−0.425442 + 0.904986i \(0.639881\pi\)
\(38\) 8.03700 2.88002i 1.30377 0.467201i
\(39\) 9.12392 + 5.26770i 1.46100 + 0.843507i
\(40\) 0.0422184 2.82811i 0.00667531 0.447164i
\(41\) 5.81092i 0.907514i 0.891126 + 0.453757i \(0.149917\pi\)
−0.891126 + 0.453757i \(0.850083\pi\)
\(42\) −7.91627 0.775887i −1.22151 0.119722i
\(43\) −10.7069 −1.63278 −0.816390 0.577501i \(-0.804028\pi\)
−0.816390 + 0.577501i \(0.804028\pi\)
\(44\) 6.31584 5.19340i 0.952148 0.782934i
\(45\) 0.759621 1.31570i 0.113238 0.196133i
\(46\) 0.681020 0.244040i 0.100411 0.0359818i
\(47\) −0.698912 1.21055i −0.101947 0.176577i 0.810540 0.585683i \(-0.199174\pi\)
−0.912487 + 0.409106i \(0.865840\pi\)
\(48\) −2.74874 8.04688i −0.396746 1.16147i
\(49\) 2.46579 6.55133i 0.352256 0.935904i
\(50\) −0.914418 + 1.07881i −0.129318 + 0.152567i
\(51\) −2.56645 4.44522i −0.359375 0.622456i
\(52\) −9.27975 3.48252i −1.28687 0.482938i
\(53\) 6.79325 + 3.92208i 0.933124 + 0.538739i 0.887798 0.460233i \(-0.152234\pi\)
0.0453258 + 0.998972i \(0.485567\pi\)
\(54\) −0.794845 + 4.38023i −0.108165 + 0.596074i
\(55\) −4.08843 −0.551284
\(56\) 7.46658 0.500126i 0.997764 0.0668321i
\(57\) −12.8335 −1.69984
\(58\) −0.778027 + 4.28755i −0.102160 + 0.562983i
\(59\) 8.82516 + 5.09521i 1.14894 + 0.663339i 0.948628 0.316393i \(-0.102472\pi\)
0.200310 + 0.979733i \(0.435805\pi\)
\(60\) −1.49385 + 3.98062i −0.192856 + 0.513896i
\(61\) 1.33141 + 2.30607i 0.170469 + 0.295262i 0.938584 0.345051i \(-0.112138\pi\)
−0.768115 + 0.640312i \(0.778805\pi\)
\(62\) −4.21856 + 4.97698i −0.535757 + 0.632077i
\(63\) 3.63361 + 1.71859i 0.457792 + 0.216521i
\(64\) 3.79141 + 7.04451i 0.473927 + 0.880564i
\(65\) 2.47792 + 4.29189i 0.307349 + 0.532343i
\(66\) −11.5710 + 4.14642i −1.42429 + 0.510389i
\(67\) 3.46437 6.00046i 0.423240 0.733073i −0.573014 0.819545i \(-0.694226\pi\)
0.996254 + 0.0864725i \(0.0275595\pi\)
\(68\) 3.06708 + 3.72996i 0.371938 + 0.452324i
\(69\) −1.08745 −0.130914
\(70\) −3.04243 2.17799i −0.363640 0.260319i
\(71\) 1.54183i 0.182981i 0.995806 + 0.0914906i \(0.0291631\pi\)
−0.995806 + 0.0914906i \(0.970837\pi\)
\(72\) −0.0641399 + 4.29659i −0.00755896 + 0.506357i
\(73\) 6.99634 + 4.03934i 0.818859 + 0.472769i 0.850023 0.526746i \(-0.176588\pi\)
−0.0311636 + 0.999514i \(0.509921\pi\)
\(74\) −13.2960 + 4.76457i −1.54563 + 0.553870i
\(75\) 1.84104 1.06293i 0.212585 0.122736i
\(76\) 11.9106 1.97816i 1.36624 0.226911i
\(77\) −0.883939 10.7808i −0.100734 1.22859i
\(78\) 11.3657 + 9.63375i 1.28692 + 1.09081i
\(79\) −3.21095 + 1.85384i −0.361260 + 0.208574i −0.669633 0.742692i \(-0.733549\pi\)
0.308373 + 0.951265i \(0.400215\pi\)
\(80\) 0.772851 3.92463i 0.0864074 0.438787i
\(81\) 5.62481 9.74247i 0.624979 1.08250i
\(82\) −1.46727 + 8.08584i −0.162033 + 0.892931i
\(83\) 9.94035i 1.09109i −0.838080 0.545547i \(-0.816322\pi\)
0.838080 0.545547i \(-0.183678\pi\)
\(84\) −10.8195 3.07852i −1.18050 0.335894i
\(85\) 2.41452i 0.261891i
\(86\) −14.8985 2.70351i −1.60654 0.291527i
\(87\) 3.27516 5.67274i 0.351134 0.608181i
\(88\) 10.0998 5.63179i 1.07664 0.600351i
\(89\) −3.81064 + 2.20007i −0.403927 + 0.233207i −0.688177 0.725543i \(-0.741589\pi\)
0.284250 + 0.958750i \(0.408255\pi\)
\(90\) 1.38922 1.63898i 0.146437 0.172764i
\(91\) −10.7816 + 7.46197i −1.13021 + 0.782227i
\(92\) 1.00925 0.167621i 0.105222 0.0174756i
\(93\) 8.49342 4.90368i 0.880727 0.508488i
\(94\) −0.666861 1.86095i −0.0687815 0.191942i
\(95\) −5.22809 3.01844i −0.536391 0.309685i
\(96\) −1.79298 11.8912i −0.182995 1.21364i
\(97\) 5.67803i 0.576517i −0.957553 0.288258i \(-0.906924\pi\)
0.957553 0.288258i \(-0.0930762\pi\)
\(98\) 5.08535 8.49348i 0.513698 0.857971i
\(99\) 6.21132 0.624261
\(100\) −1.54481 + 1.27027i −0.154481 + 0.127027i
\(101\) 7.38908 12.7983i 0.735241 1.27348i −0.219376 0.975640i \(-0.570402\pi\)
0.954617 0.297835i \(-0.0962645\pi\)
\(102\) −2.44876 6.83352i −0.242463 0.676619i
\(103\) −4.73633 8.20356i −0.466684 0.808321i 0.532591 0.846373i \(-0.321218\pi\)
−0.999276 + 0.0380514i \(0.987885\pi\)
\(104\) −12.0333 7.18904i −1.17997 0.704944i
\(105\) 3.20087 + 4.62484i 0.312373 + 0.451338i
\(106\) 8.46239 + 7.17285i 0.821940 + 0.696688i
\(107\) 9.53855 + 16.5212i 0.922126 + 1.59717i 0.796119 + 0.605140i \(0.206883\pi\)
0.126007 + 0.992029i \(0.459784\pi\)
\(108\) −2.21204 + 5.89434i −0.212853 + 0.567183i
\(109\) 0.554540 + 0.320164i 0.0531153 + 0.0306662i 0.526323 0.850285i \(-0.323570\pi\)
−0.473207 + 0.880951i \(0.656904\pi\)
\(110\) −5.68901 1.03234i −0.542426 0.0984296i
\(111\) 21.2311 2.01517
\(112\) 10.5160 + 1.18941i 0.993664 + 0.112389i
\(113\) −14.8422 −1.39623 −0.698117 0.715984i \(-0.745978\pi\)
−0.698117 + 0.715984i \(0.745978\pi\)
\(114\) −17.8577 3.24049i −1.67253 0.303500i
\(115\) −0.443005 0.255769i −0.0413105 0.0238506i
\(116\) −2.16523 + 5.76963i −0.201037 + 0.535696i
\(117\) −3.76457 6.52042i −0.348034 0.602813i
\(118\) 10.9936 + 9.31830i 1.01204 + 0.857819i
\(119\) 6.36685 0.522030i 0.583648 0.0478544i
\(120\) −3.08380 + 5.16179i −0.281511 + 0.471205i
\(121\) −2.85764 4.94958i −0.259786 0.449962i
\(122\) 1.27035 + 3.54505i 0.115012 + 0.320954i
\(123\) 6.17658 10.6981i 0.556923 0.964619i
\(124\) −7.12678 + 5.86022i −0.640004 + 0.526263i
\(125\) 1.00000 0.0894427
\(126\) 4.62219 + 3.30889i 0.411777 + 0.294779i
\(127\) 7.19222i 0.638207i −0.947720 0.319103i \(-0.896618\pi\)
0.947720 0.319103i \(-0.103382\pi\)
\(128\) 3.49696 + 10.7597i 0.309090 + 0.951033i
\(129\) 19.7118 + 11.3806i 1.73552 + 1.00201i
\(130\) 2.36429 + 6.59780i 0.207362 + 0.578665i
\(131\) −6.50864 + 3.75777i −0.568663 + 0.328318i −0.756615 0.653860i \(-0.773148\pi\)
0.187952 + 0.982178i \(0.439815\pi\)
\(132\) −17.1479 + 2.84799i −1.49253 + 0.247886i
\(133\) 6.82899 14.4386i 0.592149 1.25198i
\(134\) 6.33576 7.47481i 0.547326 0.645726i
\(135\) 2.72614 1.57394i 0.234628 0.135463i
\(136\) 3.32598 + 5.96464i 0.285201 + 0.511464i
\(137\) 1.70968 2.96124i 0.146067 0.252996i −0.783703 0.621135i \(-0.786672\pi\)
0.929771 + 0.368139i \(0.120005\pi\)
\(138\) −1.51318 0.274585i −0.128811 0.0233742i
\(139\) 11.0468i 0.936981i 0.883468 + 0.468491i \(0.155202\pi\)
−0.883468 + 0.468491i \(0.844798\pi\)
\(140\) −3.68356 3.79887i −0.311318 0.321063i
\(141\) 2.97156i 0.250251i
\(142\) −0.389315 + 2.14544i −0.0326706 + 0.180041i
\(143\) −10.1308 + 17.5471i −0.847182 + 1.46736i
\(144\) −1.17415 + 5.96246i −0.0978456 + 0.496871i
\(145\) 2.66845 1.54063i 0.221603 0.127943i
\(146\) 8.71539 + 7.38729i 0.721291 + 0.611376i
\(147\) −11.5032 + 9.44030i −0.948768 + 0.778623i
\(148\) −19.7043 + 3.27257i −1.61969 + 0.269004i
\(149\) −8.88620 + 5.13045i −0.727986 + 0.420303i −0.817685 0.575666i \(-0.804743\pi\)
0.0896992 + 0.995969i \(0.471409\pi\)
\(150\) 2.83018 1.01418i 0.231083 0.0828076i
\(151\) −14.2514 8.22804i −1.15976 0.669588i −0.208514 0.978019i \(-0.566863\pi\)
−0.951247 + 0.308431i \(0.900196\pi\)
\(152\) 17.0730 + 0.254867i 1.38480 + 0.0206725i
\(153\) 3.66824i 0.296559i
\(154\) 1.49218 15.2246i 0.120244 1.22683i
\(155\) 4.61338 0.370556
\(156\) 13.3827 + 16.2751i 1.07148 + 1.30305i
\(157\) −11.1196 + 19.2597i −0.887441 + 1.53709i −0.0445519 + 0.999007i \(0.514186\pi\)
−0.842890 + 0.538087i \(0.819147\pi\)
\(158\) −4.93610 + 1.76883i −0.392695 + 0.140721i
\(159\) −8.33776 14.4414i −0.661227 1.14528i
\(160\) 2.06639 5.26593i 0.163363 0.416308i
\(161\) 0.578659 1.22346i 0.0456047 0.0964222i
\(162\) 10.2869 12.1363i 0.808212 0.953514i
\(163\) −6.48712 11.2360i −0.508111 0.880073i −0.999956 0.00939084i \(-0.997011\pi\)
0.491845 0.870683i \(-0.336323\pi\)
\(164\) −4.08338 + 10.8809i −0.318859 + 0.849653i
\(165\) 7.52697 + 4.34570i 0.585974 + 0.338312i
\(166\) 2.50996 13.8319i 0.194811 1.07356i
\(167\) 11.9246 0.922755 0.461377 0.887204i \(-0.347355\pi\)
0.461377 + 0.887204i \(0.347355\pi\)
\(168\) −14.2779 7.01567i −1.10156 0.541271i
\(169\) 11.5604 0.889264
\(170\) 0.609671 3.35978i 0.0467596 0.257683i
\(171\) 7.94273 + 4.58574i 0.607396 + 0.350680i
\(172\) −20.0484 7.52380i −1.52868 0.573684i
\(173\) 5.55929 + 9.62897i 0.422665 + 0.732077i 0.996199 0.0871047i \(-0.0277615\pi\)
−0.573534 + 0.819181i \(0.694428\pi\)
\(174\) 5.98972 7.06657i 0.454080 0.535715i
\(175\) 0.216205 + 2.63690i 0.0163436 + 0.199331i
\(176\) 15.4758 5.28636i 1.16653 0.398475i
\(177\) −10.8317 18.7610i −0.814157 1.41016i
\(178\) −5.85798 + 2.09918i −0.439074 + 0.157340i
\(179\) 4.27641 7.40695i 0.319634 0.553622i −0.660778 0.750581i \(-0.729773\pi\)
0.980412 + 0.196960i \(0.0631068\pi\)
\(180\) 2.34693 1.92984i 0.174930 0.143842i
\(181\) −0.821960 −0.0610958 −0.0305479 0.999533i \(-0.509725\pi\)
−0.0305479 + 0.999533i \(0.509725\pi\)
\(182\) −16.8866 + 7.66089i −1.25172 + 0.567863i
\(183\) 5.66075i 0.418455i
\(184\) 1.44669 + 0.0215963i 0.106651 + 0.00159210i
\(185\) 8.64910 + 4.99356i 0.635895 + 0.367134i
\(186\) 13.0567 4.67881i 0.957363 0.343067i
\(187\) 8.54905 4.93580i 0.625168 0.360941i
\(188\) −0.458038 2.75787i −0.0334058 0.201138i
\(189\) 4.73972 + 6.84826i 0.344764 + 0.498138i
\(190\) −6.51267 5.52023i −0.472479 0.400480i
\(191\) 19.4375 11.2222i 1.40645 0.812012i 0.411402 0.911454i \(-0.365039\pi\)
0.995043 + 0.0994420i \(0.0317058\pi\)
\(192\) 0.507646 16.9992i 0.0366362 1.22681i
\(193\) 2.15591 3.73414i 0.155186 0.268789i −0.777941 0.628337i \(-0.783736\pi\)
0.933127 + 0.359548i \(0.117069\pi\)
\(194\) 1.43372 7.90092i 0.102935 0.567253i
\(195\) 10.5354i 0.754455i
\(196\) 9.22083 10.5345i 0.658631 0.752466i
\(197\) 6.67148i 0.475323i 0.971348 + 0.237662i \(0.0763809\pi\)
−0.971348 + 0.237662i \(0.923619\pi\)
\(198\) 8.64298 + 1.56837i 0.614230 + 0.111459i
\(199\) −4.68875 + 8.12116i −0.332377 + 0.575693i −0.982977 0.183727i \(-0.941184\pi\)
0.650601 + 0.759420i \(0.274517\pi\)
\(200\) −2.47033 + 1.37749i −0.174678 + 0.0974035i
\(201\) −12.7561 + 7.36473i −0.899745 + 0.519468i
\(202\) 13.5134 15.9429i 0.950801 1.12174i
\(203\) 4.63943 + 6.70336i 0.325624 + 0.470484i
\(204\) −1.68195 10.1271i −0.117760 0.709038i
\(205\) 5.03241 2.90546i 0.351479 0.202926i
\(206\) −4.51913 12.6111i −0.314863 0.878657i
\(207\) 0.673032 + 0.388575i 0.0467790 + 0.0270079i
\(208\) −14.9290 13.0419i −1.03514 0.904295i
\(209\) 24.6814i 1.70725i
\(210\) 3.28620 + 7.24364i 0.226769 + 0.499858i
\(211\) 6.08038 0.418590 0.209295 0.977852i \(-0.432883\pi\)
0.209295 + 0.977852i \(0.432883\pi\)
\(212\) 9.96417 + 12.1177i 0.684342 + 0.832248i
\(213\) 1.63885 2.83857i 0.112292 0.194495i
\(214\) 9.10113 + 25.3976i 0.622141 + 1.73615i
\(215\) 5.35343 + 9.27241i 0.365101 + 0.632373i
\(216\) −4.56636 + 7.64337i −0.310701 + 0.520065i
\(217\) 0.997435 + 12.1650i 0.0677103 + 0.825816i
\(218\) 0.690795 + 0.585528i 0.0467865 + 0.0396569i
\(219\) −8.58703 14.8732i −0.580258 1.00504i
\(220\) −7.65553 2.87298i −0.516136 0.193696i
\(221\) −10.3628 5.98299i −0.697080 0.402459i
\(222\) 29.5429 + 5.36091i 1.98279 + 0.359801i
\(223\) −15.1265 −1.01295 −0.506474 0.862255i \(-0.669051\pi\)
−0.506474 + 0.862255i \(0.669051\pi\)
\(224\) 14.3325 + 4.31035i 0.957631 + 0.287998i
\(225\) −1.51924 −0.101283
\(226\) −20.6527 3.74768i −1.37380 0.249292i
\(227\) −19.6959 11.3714i −1.30726 0.754747i −0.325622 0.945500i \(-0.605574\pi\)
−0.981638 + 0.190753i \(0.938907\pi\)
\(228\) −24.0306 9.01821i −1.59146 0.597246i
\(229\) −1.35800 2.35213i −0.0897393 0.155433i 0.817662 0.575699i \(-0.195270\pi\)
−0.907401 + 0.420266i \(0.861937\pi\)
\(230\) −0.551855 0.467760i −0.0363882 0.0308432i
\(231\) −9.83182 + 20.7875i −0.646886 + 1.36771i
\(232\) −4.46974 + 7.48165i −0.293453 + 0.491194i
\(233\) 8.54513 + 14.8006i 0.559810 + 0.969620i 0.997512 + 0.0704994i \(0.0224593\pi\)
−0.437702 + 0.899120i \(0.644207\pi\)
\(234\) −3.59193 10.0237i −0.234812 0.655267i
\(235\) −0.698912 + 1.21055i −0.0455920 + 0.0789676i
\(236\) 12.9445 + 15.7422i 0.842617 + 1.02473i
\(237\) 7.88199 0.511990
\(238\) 8.99121 + 0.881244i 0.582814 + 0.0571225i
\(239\) 14.8013i 0.957416i −0.877974 0.478708i \(-0.841105\pi\)
0.877974 0.478708i \(-0.158895\pi\)
\(240\) −5.59444 + 6.40392i −0.361119 + 0.413371i
\(241\) −15.4371 8.91260i −0.994389 0.574111i −0.0878059 0.996138i \(-0.527986\pi\)
−0.906583 + 0.422027i \(0.861319\pi\)
\(242\) −2.72660 7.60885i −0.175272 0.489115i
\(243\) −12.5326 + 7.23571i −0.803968 + 0.464171i
\(244\) 0.872550 + 5.25367i 0.0558593 + 0.336332i
\(245\) −6.90651 + 1.14022i −0.441241 + 0.0728461i
\(246\) 11.2959 13.3268i 0.720203 0.849683i
\(247\) −25.9096 + 14.9589i −1.64859 + 0.951814i
\(248\) −11.3966 + 6.35490i −0.723682 + 0.403537i
\(249\) −10.5658 + 18.3006i −0.669583 + 1.15975i
\(250\) 1.39149 + 0.252502i 0.0880055 + 0.0159696i
\(251\) 25.9720i 1.63934i 0.572837 + 0.819669i \(0.305843\pi\)
−0.572837 + 0.819669i \(0.694157\pi\)
\(252\) 5.59622 + 5.77139i 0.352529 + 0.363564i
\(253\) 2.09139i 0.131485i
\(254\) 1.81605 10.0079i 0.113949 0.627952i
\(255\) −2.56645 + 4.44522i −0.160717 + 0.278371i
\(256\) 2.14913 + 15.8550i 0.134320 + 0.990938i
\(257\) 8.43972 4.87268i 0.526455 0.303949i −0.213116 0.977027i \(-0.568361\pi\)
0.739572 + 0.673078i \(0.235028\pi\)
\(258\) 24.5551 + 20.8132i 1.52873 + 1.29578i
\(259\) −11.2976 + 23.8865i −0.701996 + 1.48423i
\(260\) 1.62393 + 9.77776i 0.100712 + 0.606391i
\(261\) −4.05403 + 2.34059i −0.250938 + 0.144879i
\(262\) −10.0056 + 3.58545i −0.618145 + 0.221510i
\(263\) −5.12532 2.95910i −0.316041 0.182466i 0.333586 0.942720i \(-0.391741\pi\)
−0.649626 + 0.760254i \(0.725075\pi\)
\(264\) −24.5802 0.366937i −1.51281 0.0225834i
\(265\) 7.84416i 0.481863i
\(266\) 13.1482 18.3668i 0.806171 1.12614i
\(267\) 9.35405 0.572459
\(268\) 10.7035 8.80133i 0.653823 0.537627i
\(269\) 10.3914 17.9984i 0.633572 1.09738i −0.353244 0.935531i \(-0.614921\pi\)
0.986816 0.161848i \(-0.0517453\pi\)
\(270\) 4.19081 1.50176i 0.255045 0.0913941i
\(271\) −5.73115 9.92664i −0.348143 0.603001i 0.637777 0.770221i \(-0.279854\pi\)
−0.985920 + 0.167221i \(0.946521\pi\)
\(272\) 3.12198 + 9.13956i 0.189298 + 0.554167i
\(273\) 27.7808 2.27780i 1.68137 0.137859i
\(274\) 3.12672 3.68884i 0.188892 0.222851i
\(275\) 2.04422 + 3.54069i 0.123271 + 0.213511i
\(276\) −2.03624 0.764164i −0.122567 0.0459972i
\(277\) 28.4995 + 16.4542i 1.71237 + 0.988638i 0.931343 + 0.364143i \(0.118638\pi\)
0.781029 + 0.624495i \(0.214695\pi\)
\(278\) −2.78935 + 15.3716i −0.167294 + 0.921925i
\(279\) −7.00884 −0.419608
\(280\) −4.16641 6.21619i −0.248991 0.371488i
\(281\) −23.6717 −1.41214 −0.706068 0.708144i \(-0.749533\pi\)
−0.706068 + 0.708144i \(0.749533\pi\)
\(282\) −0.750327 + 4.13490i −0.0446813 + 0.246230i
\(283\) −17.3451 10.0142i −1.03106 0.595283i −0.113772 0.993507i \(-0.536293\pi\)
−0.917288 + 0.398224i \(0.869627\pi\)
\(284\) −1.08346 + 2.88705i −0.0642912 + 0.171315i
\(285\) 6.41675 + 11.1141i 0.380096 + 0.658345i
\(286\) −18.5276 + 21.8586i −1.09556 + 1.29252i
\(287\) 8.74945 + 12.6418i 0.516464 + 0.746221i
\(288\) −3.13935 + 8.00022i −0.184988 + 0.471418i
\(289\) −5.58505 9.67360i −0.328533 0.569035i
\(290\) 4.10214 1.46998i 0.240886 0.0863204i
\(291\) −6.03532 + 10.4535i −0.353797 + 0.612794i
\(292\) 10.2621 + 12.4800i 0.600542 + 0.730336i
\(293\) 4.76771 0.278533 0.139266 0.990255i \(-0.455526\pi\)
0.139266 + 0.990255i \(0.455526\pi\)
\(294\) −18.3903 + 10.2315i −1.07254 + 0.596713i
\(295\) 10.1904i 0.593309i
\(296\) −28.2447 0.421640i −1.64169 0.0245073i
\(297\) 11.1456 + 6.43493i 0.646735 + 0.373393i
\(298\) −13.6605 + 4.89518i −0.791331 + 0.283570i
\(299\) −2.19547 + 1.26755i −0.126967 + 0.0733045i
\(300\) 4.19425 0.696597i 0.242155 0.0402181i
\(301\) −23.2930 + 16.1212i −1.34259 + 0.929211i
\(302\) −17.7530 15.0477i −1.02157 0.865900i
\(303\) −27.2072 + 15.7081i −1.56301 + 0.902406i
\(304\) 23.6925 + 4.66561i 1.35886 + 0.267591i
\(305\) 1.33141 2.30607i 0.0762362 0.132045i
\(306\) −0.926238 + 5.10431i −0.0529495 + 0.291794i
\(307\) 14.4066i 0.822231i 0.911583 + 0.411115i \(0.134861\pi\)
−0.911583 + 0.411115i \(0.865139\pi\)
\(308\) 5.92060 20.8080i 0.337357 1.18565i
\(309\) 20.1375i 1.14558i
\(310\) 6.41947 + 1.16489i 0.364601 + 0.0661613i
\(311\) 0.00739749 0.0128128i 0.000419473 0.000726549i −0.865816 0.500363i \(-0.833200\pi\)
0.866235 + 0.499637i \(0.166533\pi\)
\(312\) 14.5124 + 26.0259i 0.821605 + 1.47342i
\(313\) −12.0601 + 6.96291i −0.681678 + 0.393567i −0.800487 0.599350i \(-0.795426\pi\)
0.118809 + 0.992917i \(0.462092\pi\)
\(314\) −20.3359 + 23.9920i −1.14762 + 1.35395i
\(315\) −0.328467 4.00609i −0.0185070 0.225718i
\(316\) −7.31517 + 1.21493i −0.411511 + 0.0683453i
\(317\) 20.7904 12.0034i 1.16771 0.674176i 0.214568 0.976709i \(-0.431166\pi\)
0.953139 + 0.302533i \(0.0978323\pi\)
\(318\) −7.95541 22.2004i −0.446117 1.24494i
\(319\) 10.9098 + 6.29878i 0.610831 + 0.352664i
\(320\) 4.20502 6.80572i 0.235068 0.380451i
\(321\) 40.5550i 2.26356i
\(322\) 1.11412 1.55632i 0.0620877 0.0867303i
\(323\) 14.5762 0.811039
\(324\) 17.3785 14.2900i 0.965472 0.793890i
\(325\) 2.47792 4.29189i 0.137450 0.238071i
\(326\) −6.18964 17.2728i −0.342812 0.956653i
\(327\) −0.680621 1.17887i −0.0376384 0.0651917i
\(328\) −8.42943 + 14.1095i −0.465437 + 0.779069i
\(329\) −3.34321 1.58124i −0.184317 0.0871763i
\(330\) 9.37640 + 7.94757i 0.516154 + 0.437499i
\(331\) −0.783208 1.35656i −0.0430490 0.0745630i 0.843698 0.536818i \(-0.180374\pi\)
−0.886747 + 0.462255i \(0.847040\pi\)
\(332\) 6.98517 18.6132i 0.383361 1.02153i
\(333\) −13.1401 7.58643i −0.720072 0.415734i
\(334\) 16.5930 + 3.01099i 0.907928 + 0.164754i
\(335\) −6.92873 −0.378557
\(336\) −18.0960 13.3674i −0.987220 0.729253i
\(337\) 0.0592518 0.00322765 0.00161383 0.999999i \(-0.499486\pi\)
0.00161383 + 0.999999i \(0.499486\pi\)
\(338\) 16.0862 + 2.91904i 0.874975 + 0.158775i
\(339\) 27.3250 + 15.7761i 1.48409 + 0.856841i
\(340\) 1.69670 4.52115i 0.0920166 0.245194i
\(341\) 9.43075 + 16.3345i 0.510704 + 0.884565i
\(342\) 9.89432 + 8.38657i 0.535024 + 0.453494i
\(343\) −4.49988 17.9653i −0.242970 0.970034i
\(344\) −25.9974 15.5316i −1.40169 0.837406i
\(345\) 0.543727 + 0.941763i 0.0292733 + 0.0507028i
\(346\) 5.30435 + 14.8023i 0.285164 + 0.795779i
\(347\) −0.0461825 + 0.0799904i −0.00247921 + 0.00429411i −0.867262 0.497851i \(-0.834122\pi\)
0.864783 + 0.502146i \(0.167456\pi\)
\(348\) 10.1190 8.32064i 0.542433 0.446033i
\(349\) −15.4400 −0.826483 −0.413241 0.910622i \(-0.635603\pi\)
−0.413241 + 0.910622i \(0.635603\pi\)
\(350\) −0.364977 + 3.72381i −0.0195089 + 0.199046i
\(351\) 15.6004i 0.832686i
\(352\) 22.8692 3.44826i 1.21893 0.183793i
\(353\) −8.58726 4.95786i −0.457054 0.263880i 0.253751 0.967270i \(-0.418336\pi\)
−0.710805 + 0.703389i \(0.751669\pi\)
\(354\) −10.3349 28.8407i −0.549296 1.53287i
\(355\) 1.33526 0.770914i 0.0708683 0.0409158i
\(356\) −8.68137 + 1.44184i −0.460112 + 0.0764171i
\(357\) −12.2765 5.80640i −0.649742 0.307307i
\(358\) 7.82085 9.22690i 0.413345 0.487657i
\(359\) −9.04478 + 5.22201i −0.477365 + 0.275607i −0.719318 0.694681i \(-0.755545\pi\)
0.241953 + 0.970288i \(0.422212\pi\)
\(360\) 3.75302 2.09275i 0.197802 0.110297i
\(361\) 8.72196 15.1069i 0.459051 0.795099i
\(362\) −1.14375 0.207547i −0.0601141 0.0109084i
\(363\) 12.1498i 0.637701i
\(364\) −25.4319 + 6.39614i −1.33299 + 0.335249i
\(365\) 8.07867i 0.422857i
\(366\) 1.42935 7.87688i 0.0747135 0.411731i
\(367\) 14.3708 24.8910i 0.750152 1.29930i −0.197596 0.980283i \(-0.563314\pi\)
0.947749 0.319018i \(-0.103353\pi\)
\(368\) 2.00760 + 0.395343i 0.104653 + 0.0206087i
\(369\) −7.64544 + 4.41410i −0.398006 + 0.229789i
\(370\) 10.7743 + 9.13241i 0.560127 + 0.474771i
\(371\) 20.6843 1.69595i 1.07388 0.0880491i
\(372\) 19.3497 3.21367i 1.00323 0.166621i
\(373\) 8.93722 5.15991i 0.462752 0.267170i −0.250449 0.968130i \(-0.580578\pi\)
0.713201 + 0.700960i \(0.247245\pi\)
\(374\) 13.1422 4.70945i 0.679568 0.243520i
\(375\) −1.84104 1.06293i −0.0950709 0.0548892i
\(376\) 0.0590138 3.95320i 0.00304341 0.203871i
\(377\) 15.2703i 0.786460i
\(378\) 4.86607 + 10.7261i 0.250283 + 0.551690i
\(379\) −20.1192 −1.03346 −0.516728 0.856150i \(-0.672850\pi\)
−0.516728 + 0.856150i \(0.672850\pi\)
\(380\) −7.66844 9.32581i −0.393383 0.478404i
\(381\) −7.64480 + 13.2412i −0.391655 + 0.678366i
\(382\) 29.8807 10.7076i 1.52883 0.547849i
\(383\) 15.9182 + 27.5710i 0.813380 + 1.40881i 0.910486 + 0.413541i \(0.135708\pi\)
−0.0971062 + 0.995274i \(0.530959\pi\)
\(384\) 4.99873 23.5261i 0.255090 1.20056i
\(385\) −8.89448 + 6.15591i −0.453304 + 0.313734i
\(386\) 3.94280 4.65164i 0.200683 0.236762i
\(387\) −8.13315 14.0870i −0.413431 0.716084i
\(388\) 3.99000 10.6320i 0.202562 0.539760i
\(389\) −11.9293 6.88741i −0.604842 0.349205i 0.166102 0.986109i \(-0.446882\pi\)
−0.770944 + 0.636903i \(0.780215\pi\)
\(390\) 2.66021 14.6599i 0.134705 0.742332i
\(391\) 1.23512 0.0624626
\(392\) 15.4907 12.3304i 0.782398 0.622779i
\(393\) 15.9769 0.805928
\(394\) −1.68456 + 9.28329i −0.0848671 + 0.467685i
\(395\) 3.21095 + 1.85384i 0.161561 + 0.0932770i
\(396\) 11.6306 + 4.36475i 0.584460 + 0.219337i
\(397\) −15.3003 26.5009i −0.767900 1.33004i −0.938700 0.344736i \(-0.887969\pi\)
0.170800 0.985306i \(-0.445365\pi\)
\(398\) −8.57496 + 10.1166i −0.429824 + 0.507098i
\(399\) −27.9196 + 19.3233i −1.39773 + 0.967374i
\(400\) −3.78525 + 1.29301i −0.189263 + 0.0646503i
\(401\) 9.62164 + 16.6652i 0.480482 + 0.832219i 0.999749 0.0223928i \(-0.00712846\pi\)
−0.519267 + 0.854612i \(0.673795\pi\)
\(402\) −19.6096 + 7.02700i −0.978036 + 0.350475i
\(403\) 11.4316 19.8001i 0.569449 0.986314i
\(404\) 22.8294 18.7722i 1.13581 0.933952i
\(405\) −11.2496 −0.558999
\(406\) 4.76311 + 10.4991i 0.236389 + 0.521063i
\(407\) 40.8317i 2.02395i
\(408\) 0.216703 14.5164i 0.0107284 0.718670i
\(409\) −4.36225 2.51854i −0.215699 0.124534i 0.388258 0.921551i \(-0.373077\pi\)
−0.603957 + 0.797017i \(0.706410\pi\)
\(410\) 7.73618 2.77222i 0.382062 0.136910i
\(411\) −6.29516 + 3.63451i −0.310518 + 0.179277i
\(412\) −3.10399 18.6893i −0.152923 0.920756i
\(413\) 26.8711 2.20322i 1.32224 0.108413i
\(414\) 0.838401 + 0.710641i 0.0412052 + 0.0349261i
\(415\) −8.60859 + 4.97017i −0.422579 + 0.243976i
\(416\) −17.4804 21.9173i −0.857049 1.07458i
\(417\) 11.7420 20.3377i 0.575007 0.995941i
\(418\) 6.23210 34.3439i 0.304822 1.67981i
\(419\) 15.6895i 0.766483i −0.923648 0.383242i \(-0.874808\pi\)
0.923648 0.383242i \(-0.125192\pi\)
\(420\) 2.74368 + 10.9092i 0.133878 + 0.532315i
\(421\) 17.3487i 0.845525i 0.906240 + 0.422763i \(0.138940\pi\)
−0.906240 + 0.422763i \(0.861060\pi\)
\(422\) 8.46078 + 1.53531i 0.411864 + 0.0747377i
\(423\) 1.06182 1.83912i 0.0516273 0.0894210i
\(424\) 10.8053 + 19.3776i 0.524751 + 0.941061i
\(425\) −2.09103 + 1.20726i −0.101430 + 0.0585606i
\(426\) 2.99718 3.53602i 0.145214 0.171321i
\(427\) 6.36873 + 3.01221i 0.308205 + 0.145771i
\(428\) 6.25117 + 37.6386i 0.302161 + 1.81933i
\(429\) 37.3025 21.5366i 1.80098 1.03980i
\(430\) 5.10793 + 14.2542i 0.246326 + 0.687399i
\(431\) −6.75727 3.90131i −0.325486 0.187920i 0.328349 0.944556i \(-0.393508\pi\)
−0.653835 + 0.756637i \(0.726841\pi\)
\(432\) −8.28401 + 9.48265i −0.398565 + 0.456234i
\(433\) 8.76403i 0.421172i 0.977575 + 0.210586i \(0.0675372\pi\)
−0.977575 + 0.210586i \(0.932463\pi\)
\(434\) −1.68378 + 17.1794i −0.0808240 + 0.824636i
\(435\) −6.55031 −0.314063
\(436\) 0.813387 + 0.989183i 0.0389542 + 0.0473733i
\(437\) 1.54405 2.67437i 0.0738619 0.127932i
\(438\) −8.19325 22.8641i −0.391489 1.09249i
\(439\) 1.26642 + 2.19350i 0.0604428 + 0.104690i 0.894663 0.446741i \(-0.147415\pi\)
−0.834221 + 0.551431i \(0.814082\pi\)
\(440\) −9.92716 5.93076i −0.473259 0.282738i
\(441\) 10.4927 1.73227i 0.499650 0.0824892i
\(442\) −12.9091 10.9419i −0.614022 0.520454i
\(443\) −14.7957 25.6269i −0.702964 1.21757i −0.967421 0.253172i \(-0.918526\pi\)
0.264458 0.964397i \(-0.414807\pi\)
\(444\) 39.7550 + 14.9193i 1.88669 + 0.708039i
\(445\) 3.81064 + 2.20007i 0.180642 + 0.104293i
\(446\) −21.0484 3.81948i −0.996671 0.180858i
\(447\) 21.8131 1.03173
\(448\) 18.8552 + 9.61680i 0.890823 + 0.454351i
\(449\) −12.4051 −0.585434 −0.292717 0.956199i \(-0.594559\pi\)
−0.292717 + 0.956199i \(0.594559\pi\)
\(450\) −2.11401 0.383612i −0.0996553 0.0180836i
\(451\) 20.5747 + 11.8788i 0.968823 + 0.559350i
\(452\) −27.7917 10.4297i −1.30721 0.490573i
\(453\) 17.4916 + 30.2963i 0.821826 + 1.42344i
\(454\) −24.5353 20.7964i −1.15150 0.976026i
\(455\) 11.8530 + 5.60612i 0.555679 + 0.262819i
\(456\) −31.1611 18.6165i −1.45925 0.871798i
\(457\) 19.1981 + 33.2521i 0.898049 + 1.55547i 0.829985 + 0.557785i \(0.188349\pi\)
0.0680633 + 0.997681i \(0.478318\pi\)
\(458\) −1.29573 3.61586i −0.0605454 0.168958i
\(459\) −3.80029 + 6.58230i −0.177383 + 0.307236i
\(460\) −0.649790 0.790228i −0.0302966 0.0368446i
\(461\) −19.3759 −0.902426 −0.451213 0.892416i \(-0.649008\pi\)
−0.451213 + 0.892416i \(0.649008\pi\)
\(462\) −18.9297 + 26.4430i −0.880692 + 1.23024i
\(463\) 34.4968i 1.60320i −0.597860 0.801600i \(-0.703982\pi\)
0.597860 0.801600i \(-0.296018\pi\)
\(464\) −8.10873 + 9.28201i −0.376438 + 0.430907i
\(465\) −8.49342 4.90368i −0.393873 0.227403i
\(466\) 8.15327 + 22.7525i 0.377693 + 1.05399i
\(467\) 18.4058 10.6266i 0.851720 0.491741i −0.00951086 0.999955i \(-0.503027\pi\)
0.861231 + 0.508214i \(0.169694\pi\)
\(468\) −2.46714 14.8548i −0.114044 0.686662i
\(469\) −1.49803 18.2704i −0.0691724 0.843649i
\(470\) −1.27820 + 1.50799i −0.0589587 + 0.0695585i
\(471\) 40.9433 23.6386i 1.88657 1.08921i
\(472\) 14.0372 + 25.1736i 0.646116 + 1.15871i
\(473\) −21.8871 + 37.9096i −1.00637 + 1.74309i
\(474\) 10.9677 + 1.99022i 0.503763 + 0.0914139i
\(475\) 6.03688i 0.276991i
\(476\) 12.2887 + 3.49654i 0.563250 + 0.160264i
\(477\) 11.9172i 0.545650i
\(478\) 3.73736 20.5958i 0.170943 0.942032i
\(479\) 2.99806 5.19279i 0.136985 0.237265i −0.789369 0.613919i \(-0.789592\pi\)
0.926354 + 0.376654i \(0.122925\pi\)
\(480\) −9.40160 + 7.49837i −0.429122 + 0.342252i
\(481\) 42.8636 24.7473i 1.95441 1.12838i
\(482\) −19.2301 16.2997i −0.875906 0.742430i
\(483\) −2.36578 + 1.63737i −0.107647 + 0.0745029i
\(484\) −1.87278 11.2761i −0.0851263 0.512550i
\(485\) −4.91732 + 2.83902i −0.223284 + 0.128913i
\(486\) −19.2660 + 6.90390i −0.873925 + 0.313167i
\(487\) −8.18300 4.72445i −0.370807 0.214085i 0.303004 0.952989i \(-0.402010\pi\)
−0.673811 + 0.738904i \(0.735344\pi\)
\(488\) −0.112420 + 7.53075i −0.00508900 + 0.340901i
\(489\) 27.5813i 1.24727i
\(490\) −9.89825 0.157303i −0.447157 0.00710621i
\(491\) 24.6604 1.11291 0.556454 0.830879i \(-0.312162\pi\)
0.556454 + 0.830879i \(0.312162\pi\)
\(492\) 19.0832 15.6918i 0.860338 0.707440i
\(493\) −3.71989 + 6.44303i −0.167535 + 0.290179i
\(494\) −39.8301 + 14.2730i −1.79204 + 0.642170i
\(495\) −3.10566 5.37916i −0.139589 0.241775i
\(496\) −17.4628 + 5.96512i −0.784103 + 0.267842i
\(497\) 2.32151 + 3.35428i 0.104134 + 0.150460i
\(498\) −19.3232 + 22.7972i −0.865894 + 1.02157i
\(499\) −11.1699 19.3469i −0.500035 0.866086i −1.00000 4.07161e-5i \(-0.999987\pi\)
0.499965 0.866046i \(-0.333346\pi\)
\(500\) 1.87249 + 0.702708i 0.0837401 + 0.0314261i
\(501\) −21.9537 12.6750i −0.980820 0.566276i
\(502\) −6.55799 + 36.1398i −0.292697 + 1.61300i
\(503\) 7.59124 0.338477 0.169238 0.985575i \(-0.445869\pi\)
0.169238 + 0.985575i \(0.445869\pi\)
\(504\) 6.32979 + 9.44389i 0.281951 + 0.420664i
\(505\) −14.7782 −0.657620
\(506\) 0.528081 2.91015i 0.0234761 0.129372i
\(507\) −21.2832 12.2879i −0.945221 0.545724i
\(508\) 5.05404 13.4673i 0.224237 0.597516i
\(509\) −16.7288 28.9751i −0.741490 1.28430i −0.951817 0.306668i \(-0.900786\pi\)
0.210326 0.977631i \(-0.432547\pi\)
\(510\) −4.69362 + 5.53745i −0.207837 + 0.245202i
\(511\) 21.3027 1.74665i 0.942375 0.0772672i
\(512\) −1.01294 + 22.6047i −0.0447660 + 0.998997i
\(513\) 9.50166 + 16.4574i 0.419509 + 0.726610i
\(514\) 12.9741 4.64923i 0.572265 0.205069i
\(515\) −4.73633 + 8.20356i −0.208708 + 0.361492i
\(516\) 28.9127 + 35.1616i 1.27281 + 1.54790i
\(517\) −5.71491 −0.251341
\(518\) −21.7518 + 30.3851i −0.955720 + 1.33505i
\(519\) 23.6364i 1.03752i
\(520\) −0.209228 + 14.0157i −0.00917524 + 0.614629i
\(521\) −4.24541 2.45109i −0.185995 0.107384i 0.404111 0.914710i \(-0.367581\pi\)
−0.590106 + 0.807326i \(0.700914\pi\)
\(522\) −6.23214 + 2.23326i −0.272773 + 0.0977472i
\(523\) 2.15135 1.24208i 0.0940721 0.0543125i −0.452226 0.891903i \(-0.649370\pi\)
0.546298 + 0.837591i \(0.316037\pi\)
\(524\) −14.8280 + 2.46268i −0.647762 + 0.107583i
\(525\) 2.40479 5.08445i 0.104954 0.221904i
\(526\) −6.38465 5.41172i −0.278384 0.235962i
\(527\) −9.64673 + 5.56954i −0.420218 + 0.242613i
\(528\) −34.1105 6.71716i −1.48447 0.292327i
\(529\) −11.3692 + 19.6920i −0.494311 + 0.856173i
\(530\) 1.98067 10.9151i 0.0860348 0.474120i
\(531\) 15.4817i 0.671849i
\(532\) 22.9333 22.2372i 0.994284 0.964106i
\(533\) 28.7981i 1.24738i
\(534\) 13.0161 + 2.36192i 0.563260 + 0.102210i
\(535\) 9.53855 16.5212i 0.412387 0.714276i
\(536\) 17.1162 9.54429i 0.739309 0.412250i
\(537\) −15.7461 + 9.09100i −0.679493 + 0.392306i
\(538\) 19.0041 22.4207i 0.819324 0.966624i
\(539\) −18.1556 22.1229i −0.782016 0.952902i
\(540\) 6.21067 1.03149i 0.267265 0.0443883i
\(541\) 23.1290 13.3535i 0.994392 0.574113i 0.0878078 0.996137i \(-0.472014\pi\)
0.906584 + 0.422025i \(0.138681\pi\)
\(542\) −5.46833 15.2599i −0.234885 0.655471i
\(543\) 1.51326 + 0.873682i 0.0649403 + 0.0374933i
\(544\) 2.03645 + 13.5059i 0.0873119 + 0.579061i
\(545\) 0.640328i 0.0274286i
\(546\) 39.2318 + 3.84518i 1.67897 + 0.164558i
\(547\) 21.5603 0.921851 0.460926 0.887439i \(-0.347517\pi\)
0.460926 + 0.887439i \(0.347517\pi\)
\(548\) 5.28223 4.34348i 0.225646 0.185544i
\(549\) −2.02273 + 3.50347i −0.0863281 + 0.149525i
\(550\) 1.95047 + 5.44300i 0.0831685 + 0.232090i
\(551\) 9.30062 + 16.1091i 0.396220 + 0.686273i
\(552\) −2.64046 1.57748i −0.112385 0.0671421i
\(553\) −4.19418 + 8.86778i −0.178355 + 0.377096i
\(554\) 35.5021 + 30.0921i 1.50834 + 1.27849i
\(555\) −10.6156 18.3867i −0.450606 0.780472i
\(556\) −7.76271 + 20.6851i −0.329212 + 0.877242i
\(557\) −11.7177 6.76520i −0.496493 0.286651i 0.230771 0.973008i \(-0.425875\pi\)
−0.727264 + 0.686358i \(0.759209\pi\)
\(558\) −9.75273 1.76975i −0.412866 0.0749194i
\(559\) 53.0616 2.24426
\(560\) −4.22792 9.70179i −0.178662 0.409975i
\(561\) −20.9855 −0.886010
\(562\) −32.9389 5.97716i −1.38945 0.252131i
\(563\) 0.290557 + 0.167753i 0.0122455 + 0.00706994i 0.506110 0.862469i \(-0.331083\pi\)
−0.493865 + 0.869539i \(0.664416\pi\)
\(564\) −2.08814 + 5.56421i −0.0879267 + 0.234296i
\(565\) 7.42108 + 12.8537i 0.312207 + 0.540759i
\(566\) −21.6069 18.3144i −0.908208 0.769810i
\(567\) −2.43222 29.6642i −0.102144 1.24578i
\(568\) −2.23660 + 3.74372i −0.0938458 + 0.157083i
\(569\) −6.01354 10.4158i −0.252101 0.436651i 0.712003 0.702176i \(-0.247788\pi\)
−0.964104 + 0.265525i \(0.914455\pi\)
\(570\) 6.12250 + 17.0855i 0.256443 + 0.715631i
\(571\) 17.2292 29.8419i 0.721020 1.24884i −0.239571 0.970879i \(-0.577007\pi\)
0.960591 0.277965i \(-0.0896599\pi\)
\(572\) −31.3003 + 25.7377i −1.30873 + 1.07615i
\(573\) −47.7136 −1.99326
\(574\) 8.98268 + 19.8002i 0.374930 + 0.826443i
\(575\) 0.511539i 0.0213326i
\(576\) −6.38844 + 10.3395i −0.266185 + 0.430814i
\(577\) 26.7684 + 15.4547i 1.11438 + 0.643389i 0.939961 0.341282i \(-0.110861\pi\)
0.174422 + 0.984671i \(0.444194\pi\)
\(578\) −5.32894 14.8709i −0.221655 0.618550i
\(579\) −7.93823 + 4.58314i −0.329901 + 0.190469i
\(580\) 6.07926 1.00967i 0.252427 0.0419241i
\(581\) −14.9671 21.6254i −0.620939 0.897175i
\(582\) −11.0376 + 13.0220i −0.457524 + 0.539779i
\(583\) 27.7737 16.0352i 1.15027 0.664109i
\(584\) 11.1283 + 19.9570i 0.460493 + 0.825825i
\(585\) −3.76457 + 6.52042i −0.155646 + 0.269586i
\(586\) 6.63422 + 1.20386i 0.274057 + 0.0497309i
\(587\) 11.3376i 0.467955i −0.972242 0.233977i \(-0.924826\pi\)
0.972242 0.233977i \(-0.0751742\pi\)
\(588\) −28.1733 + 9.59343i −1.16185 + 0.395626i
\(589\) 27.8504i 1.14756i
\(590\) 2.57310 14.1799i 0.105933 0.583775i
\(591\) 7.09128 12.2825i 0.291696 0.505233i
\(592\) −39.1957 7.71856i −1.61094 0.317231i
\(593\) 26.3586 15.2182i 1.08242 0.624935i 0.150872 0.988553i \(-0.451792\pi\)
0.931548 + 0.363618i \(0.118459\pi\)
\(594\) 13.8842 + 11.7684i 0.569675 + 0.482865i
\(595\) −3.63551 5.25284i −0.149042 0.215345i
\(596\) −20.2445 + 3.36228i −0.829246 + 0.137724i
\(597\) 17.2644 9.96759i 0.706583 0.407946i
\(598\) −3.37503 + 1.20943i −0.138015 + 0.0494571i
\(599\) 11.1298 + 6.42577i 0.454750 + 0.262550i 0.709834 0.704369i \(-0.248770\pi\)
−0.255084 + 0.966919i \(0.582103\pi\)
\(600\) 6.01214 + 0.0897499i 0.245445 + 0.00366403i
\(601\) 17.2953i 0.705489i 0.935720 + 0.352745i \(0.114752\pi\)
−0.935720 + 0.352745i \(0.885248\pi\)
\(602\) −36.4826 + 16.5510i −1.48692 + 0.674567i
\(603\) 10.5264 0.428669
\(604\) −20.9036 25.4214i −0.850555 1.03438i
\(605\) −2.85764 + 4.94958i −0.116180 + 0.201229i
\(606\) −41.8249 + 14.9878i −1.69902 + 0.608836i
\(607\) 7.03358 + 12.1825i 0.285484 + 0.494473i 0.972726 0.231955i \(-0.0745123\pi\)
−0.687242 + 0.726428i \(0.741179\pi\)
\(608\) 31.7898 + 12.4746i 1.28925 + 0.505910i
\(609\) −1.41621 17.2725i −0.0573877 0.699918i
\(610\) 2.43493 2.87268i 0.0985874 0.116312i
\(611\) 3.46370 + 5.99931i 0.140126 + 0.242706i
\(612\) −2.57770 + 6.86872i −0.104197 + 0.277651i
\(613\) 8.38938 + 4.84361i 0.338844 + 0.195632i 0.659761 0.751476i \(-0.270658\pi\)
−0.320917 + 0.947107i \(0.603991\pi\)
\(614\) −3.63771 + 20.0467i −0.146806 + 0.809019i
\(615\) −12.3532 −0.498127
\(616\) 13.4925 27.4592i 0.543629 1.10636i
\(617\) −36.8175 −1.48222 −0.741108 0.671386i \(-0.765699\pi\)
−0.741108 + 0.671386i \(0.765699\pi\)
\(618\) −5.08476 + 28.0211i −0.204539 + 1.12717i
\(619\) −14.5742 8.41442i −0.585787 0.338204i 0.177643 0.984095i \(-0.443153\pi\)
−0.763430 + 0.645891i \(0.776486\pi\)
\(620\) 8.63849 + 3.24186i 0.346930 + 0.130196i
\(621\) 0.805129 + 1.39452i 0.0323087 + 0.0559603i
\(622\) 0.0135288 0.0159610i 0.000542455 0.000639979i
\(623\) −4.97750 + 10.5239i −0.199419 + 0.421633i
\(624\) 13.6223 + 39.8791i 0.545329 + 1.59644i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −18.5397 + 6.64361i −0.740994 + 0.265532i
\(627\) −26.2345 + 45.4394i −1.04770 + 1.81468i
\(628\) −34.3553 + 28.2497i −1.37092 + 1.12729i
\(629\) −24.1141 −0.961492
\(630\) 0.554489 5.65737i 0.0220914 0.225395i
\(631\) 40.9250i 1.62920i 0.580023 + 0.814600i \(0.303043\pi\)
−0.580023 + 0.814600i \(0.696957\pi\)
\(632\) −10.4858 0.156532i −0.417101 0.00622653i
\(633\) −11.1942 6.46299i −0.444930 0.256881i
\(634\) 31.9605 11.4529i 1.26932 0.454853i
\(635\) −6.22865 + 3.59611i −0.247176 + 0.142707i
\(636\) −5.46422 32.9004i −0.216670 1.30458i
\(637\) −12.2201 + 32.4674i −0.484178 + 1.28640i
\(638\) 13.5904 + 11.5194i 0.538050 + 0.456059i
\(639\) −2.02858 + 1.17120i −0.0802496 + 0.0463321i
\(640\) 7.56970 8.40831i 0.299219 0.332367i
\(641\) −22.3915 + 38.7833i −0.884413 + 1.53185i −0.0380272 + 0.999277i \(0.512107\pi\)
−0.846385 + 0.532571i \(0.821226\pi\)
\(642\) 10.2402 56.4319i 0.404150 2.22719i
\(643\) 35.9649i 1.41832i 0.705049 + 0.709159i \(0.250925\pi\)
−0.705049 + 0.709159i \(0.749075\pi\)
\(644\) 1.94327 1.88428i 0.0765754 0.0742512i
\(645\) 22.7612i 0.896221i
\(646\) 20.2826 + 3.68051i 0.798007 + 0.144808i
\(647\) 10.7834 18.6773i 0.423937 0.734281i −0.572383 0.819986i \(-0.693981\pi\)
0.996321 + 0.0857054i \(0.0273144\pi\)
\(648\) 27.7903 15.4963i 1.09170 0.608752i
\(649\) 36.0811 20.8314i 1.41631 0.817704i
\(650\) 4.53172 5.34644i 0.177749 0.209705i
\(651\) 11.0942 23.4565i 0.434816 0.919334i
\(652\) −4.25139 25.5978i −0.166497 1.00249i
\(653\) −26.3715 + 15.2256i −1.03200 + 0.595824i −0.917556 0.397606i \(-0.869841\pi\)
−0.114441 + 0.993430i \(0.536508\pi\)
\(654\) −0.649410 1.81224i −0.0253939 0.0708643i
\(655\) 6.50864 + 3.75777i 0.254314 + 0.146828i
\(656\) −15.2922 + 17.5048i −0.597058 + 0.683449i
\(657\) 12.2735i 0.478833i
\(658\) −4.25278 3.04444i −0.165791 0.118685i
\(659\) −4.95909 −0.193179 −0.0965894 0.995324i \(-0.530793\pi\)
−0.0965894 + 0.995324i \(0.530793\pi\)
\(660\) 11.0404 + 13.4265i 0.429746 + 0.522627i
\(661\) 8.90153 15.4179i 0.346230 0.599687i −0.639347 0.768918i \(-0.720795\pi\)
0.985576 + 0.169231i \(0.0541285\pi\)
\(662\) −0.747292 2.08539i −0.0290443 0.0810511i
\(663\) 12.7189 + 22.0299i 0.493963 + 0.855569i
\(664\) 14.4196 24.1362i 0.559591 0.936668i
\(665\) −15.9187 + 1.30520i −0.617299 + 0.0506136i
\(666\) −16.3687 13.8743i −0.634274 0.537620i
\(667\) 0.788093 + 1.36502i 0.0305151 + 0.0528537i
\(668\) 22.3287 + 8.37953i 0.863922 + 0.324214i
\(669\) 27.8486 + 16.0784i 1.07669 + 0.621626i
\(670\) −9.64126 1.74952i −0.372474 0.0675899i
\(671\) 10.8867 0.420278
\(672\) −21.8052 23.1699i −0.841152 0.893799i
\(673\) 20.2860 0.781968 0.390984 0.920397i \(-0.372135\pi\)
0.390984 + 0.920397i \(0.372135\pi\)
\(674\) 0.0824483 + 0.0149612i 0.00317579 + 0.000576285i
\(675\) −2.72614 1.57394i −0.104929 0.0605808i
\(676\) 21.6467 + 8.12361i 0.832567 + 0.312447i
\(677\) −12.8287 22.2199i −0.493046 0.853980i 0.506922 0.861992i \(-0.330783\pi\)
−0.999968 + 0.00801166i \(0.997450\pi\)
\(678\) 34.0390 + 28.8519i 1.30726 + 1.10805i
\(679\) −8.54936 12.3527i −0.328094 0.474053i
\(680\) 3.50254 5.86271i 0.134316 0.224825i
\(681\) 24.1739 + 41.8705i 0.926347 + 1.60448i
\(682\) 8.99828 + 25.1106i 0.344562 + 0.961535i
\(683\) 11.8802 20.5772i 0.454585 0.787365i −0.544079 0.839034i \(-0.683121\pi\)
0.998664 + 0.0516694i \(0.0164542\pi\)
\(684\) 11.6502 + 14.1682i 0.445457 + 0.541733i
\(685\) −3.41935 −0.130647
\(686\) −1.72526 26.1347i −0.0658706 0.997828i
\(687\) 5.77382i 0.220285i
\(688\) −32.2534 28.1764i −1.22965 1.07422i
\(689\) −33.6663 19.4372i −1.28258 0.740500i
\(690\) 0.518793 + 1.44775i 0.0197501 + 0.0551148i
\(691\) −8.25902 + 4.76835i −0.314188 + 0.181396i −0.648799 0.760960i \(-0.724728\pi\)
0.334611 + 0.942356i \(0.391395\pi\)
\(692\) 3.64332 + 21.9367i 0.138498 + 0.833906i
\(693\) 13.5129 9.35232i 0.513311 0.355265i
\(694\) −0.0844602 + 0.0996446i −0.00320606 + 0.00378246i
\(695\) 9.56685 5.52342i 0.362891 0.209515i
\(696\) 16.1814 9.02302i 0.613355 0.342017i
\(697\) −7.01529 + 12.1508i −0.265723 + 0.460246i
\(698\) −21.4846 3.89863i −0.813202 0.147565i
\(699\) 36.3313i 1.37418i
\(700\) −1.44813 + 5.08949i −0.0547343 + 0.192365i
\(701\) 19.1213i 0.722201i 0.932527 + 0.361101i \(0.117599\pi\)
−0.932527 + 0.361101i \(0.882401\pi\)
\(702\) 3.93913 21.7078i 0.148673 0.819306i
\(703\) −30.1455 + 52.2136i −1.13696 + 1.96927i
\(704\) 32.6929 + 0.976303i 1.23216 + 0.0367958i
\(705\) 2.57345 1.48578i 0.0969217 0.0559578i
\(706\) −10.6972 9.06711i −0.402595 0.341245i
\(707\) −3.19511 38.9686i −0.120165 1.46556i
\(708\) −7.09861 42.7411i −0.266782 1.60631i
\(709\) −42.0444 + 24.2743i −1.57901 + 0.911642i −0.584012 + 0.811745i \(0.698518\pi\)
−0.994998 + 0.0998972i \(0.968149\pi\)
\(710\) 2.05266 0.735561i 0.0770349 0.0276051i
\(711\) −4.87821 2.81644i −0.182947 0.105625i
\(712\) −12.4441 0.185767i −0.466362 0.00696191i
\(713\) 2.35992i 0.0883798i
\(714\) −15.6165 11.1794i −0.584433 0.418378i
\(715\) 20.2617 0.757743
\(716\) 13.2124 10.8643i 0.493772 0.406020i
\(717\) −15.7327 + 27.2498i −0.587547 + 1.01766i
\(718\) −13.9043 + 4.98254i −0.518903 + 0.185947i
\(719\) 14.8570 + 25.7331i 0.554073 + 0.959682i 0.997975 + 0.0636067i \(0.0202603\pi\)
−0.443903 + 0.896075i \(0.646406\pi\)
\(720\) 5.75071 1.96439i 0.214316 0.0732084i
\(721\) −22.6560 10.7156i −0.843754 0.399069i
\(722\) 15.9510 18.8187i 0.593636 0.700361i
\(723\) 18.9469 + 32.8169i 0.704641 + 1.22047i
\(724\) −1.53911 0.577598i −0.0572005 0.0214663i
\(725\) −2.66845 1.54063i −0.0991039 0.0572177i
\(726\) −3.06786 + 16.9064i −0.113859 + 0.627454i
\(727\) −3.32731 −0.123403 −0.0617015 0.998095i \(-0.519653\pi\)
−0.0617015 + 0.998095i \(0.519653\pi\)
\(728\) −37.0033 + 2.47855i −1.37143 + 0.0918611i
\(729\) −2.98481 −0.110548
\(730\) 2.03988 11.2414i 0.0754995 0.416062i
\(731\) −22.3884 12.9259i −0.828065 0.478083i
\(732\) 3.97786 10.5997i 0.147026 0.391775i
\(733\) −16.6332 28.8096i −0.614362 1.06411i −0.990496 0.137540i \(-0.956080\pi\)
0.376135 0.926565i \(-0.377253\pi\)
\(734\) 26.2819 31.0069i 0.970084 1.14449i
\(735\) 13.9271 + 5.24191i 0.513710 + 0.193351i
\(736\) 2.69373 + 1.05704i 0.0992921 + 0.0389630i
\(737\) −14.1638 24.5325i −0.521731 0.903665i
\(738\) −11.7531 + 4.21168i −0.432638 + 0.155034i
\(739\) −8.20295 + 14.2079i −0.301750 + 0.522647i −0.976533 0.215370i \(-0.930904\pi\)
0.674782 + 0.738017i \(0.264238\pi\)
\(740\) 12.6863 + 15.4282i 0.466358 + 0.567151i
\(741\) 63.6009 2.33644
\(742\) 29.2102 + 2.86294i 1.07234 + 0.105102i
\(743\) 28.3857i 1.04137i −0.853749 0.520685i \(-0.825677\pi\)
0.853749 0.520685i \(-0.174323\pi\)
\(744\) 27.7363 + 0.414051i 1.01686 + 0.0151798i
\(745\) 8.88620 + 5.13045i 0.325565 + 0.187965i
\(746\) 13.7389 4.92329i 0.503018 0.180254i
\(747\) 13.0785 7.55090i 0.478519 0.276273i
\(748\) 19.4764 3.23472i 0.712127 0.118273i
\(749\) 45.6272 + 21.5802i 1.66718 + 0.788525i
\(750\) −2.29340 1.94392i −0.0837430 0.0709818i
\(751\) −27.1307 + 15.6639i −0.990014 + 0.571585i −0.905278 0.424819i \(-0.860338\pi\)
−0.0847355 + 0.996403i \(0.527005\pi\)
\(752\) 1.08031 5.48594i 0.0393948 0.200052i
\(753\) 27.6063 47.8155i 1.00603 1.74249i
\(754\) 3.85578 21.2484i 0.140419 0.773823i
\(755\) 16.4561i 0.598898i
\(756\) 4.06272 + 16.1539i 0.147760 + 0.587512i
\(757\) 12.5842i 0.457380i −0.973499 0.228690i \(-0.926556\pi\)
0.973499 0.228690i \(-0.0734442\pi\)
\(758\) −27.9957 5.08015i −1.01685 0.184519i
\(759\) −2.22299 + 3.85034i −0.0806895 + 0.139758i
\(760\) −8.31577 14.9131i −0.301645 0.540954i
\(761\) 10.7941 6.23196i 0.391285 0.225908i −0.291432 0.956592i \(-0.594132\pi\)
0.682717 + 0.730683i \(0.260798\pi\)
\(762\) −13.9811 + 16.4946i −0.506481 + 0.597537i
\(763\) 1.68848 0.138442i 0.0611272 0.00501194i
\(764\) 44.2823 7.35458i 1.60208 0.266079i
\(765\) 3.17678 1.83412i 0.114857 0.0663127i
\(766\) 15.1882 + 42.3842i 0.548771 + 1.53140i
\(767\) −43.7361 25.2511i −1.57922 0.911763i
\(768\) 12.8961 31.4741i 0.465347 1.13572i
\(769\) 31.8352i 1.14801i −0.818853 0.574003i \(-0.805390\pi\)
0.818853 0.574003i \(-0.194610\pi\)
\(770\) −13.9310 + 6.32001i −0.502037 + 0.227757i
\(771\) −20.7172 −0.746111
\(772\) 6.66092 5.47715i 0.239732 0.197127i
\(773\) −3.58420 + 6.20801i −0.128915 + 0.223287i −0.923256 0.384184i \(-0.874483\pi\)
0.794342 + 0.607471i \(0.207816\pi\)
\(774\)