Properties

Label 177.2.e.b.46.5
Level $177$
Weight $2$
Character 177.46
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 46.5
Character \(\chi\) \(=\) 177.46
Dual form 177.2.e.b.127.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.08904 + 1.28211i) q^{2} +(-0.796093 + 0.605174i) q^{3} +(-0.134248 + 0.818877i) q^{4} +(-1.86649 + 3.52057i) q^{5} +(-1.64287 - 0.361624i) q^{6} +(-3.71509 + 0.404041i) q^{7} +(1.68672 - 1.01487i) q^{8} +(0.267528 - 0.963550i) q^{9} +O(q^{10})\) \(q+(1.08904 + 1.28211i) q^{2} +(-0.796093 + 0.605174i) q^{3} +(-0.134248 + 0.818877i) q^{4} +(-1.86649 + 3.52057i) q^{5} +(-1.64287 - 0.361624i) q^{6} +(-3.71509 + 0.404041i) q^{7} +(1.68672 - 1.01487i) q^{8} +(0.267528 - 0.963550i) q^{9} +(-6.54644 + 1.44098i) q^{10} +(5.42657 - 1.82842i) q^{11} +(-0.388689 - 0.733145i) q^{12} +(1.34895 + 4.85848i) q^{13} +(-4.56389 - 4.32315i) q^{14} +(-0.644660 - 3.93225i) q^{15} +(4.71082 + 1.58726i) q^{16} +(0.313949 + 0.0341440i) q^{17} +(1.52673 - 0.706339i) q^{18} +(-0.0262083 - 0.483384i) q^{19} +(-2.63234 - 2.00105i) q^{20} +(2.71305 - 2.56993i) q^{21} +(8.25397 + 4.96625i) q^{22} +(2.19117 + 1.01375i) q^{23} +(-0.728617 + 1.82869i) q^{24} +(-6.10471 - 9.00378i) q^{25} +(-4.76006 + 7.02057i) q^{26} +(0.370138 + 0.928977i) q^{27} +(0.167884 - 3.09645i) q^{28} +(-0.0575069 + 0.0677024i) q^{29} +(4.33953 - 5.10889i) q^{30} +(0.229697 - 4.23651i) q^{31} +(1.63797 + 4.11099i) q^{32} +(-3.21354 + 4.73962i) q^{33} +(0.298125 + 0.439702i) q^{34} +(5.51173 - 13.8334i) q^{35} +(0.753113 + 0.348427i) q^{36} +(-2.38839 - 1.43704i) q^{37} +(0.591211 - 0.560025i) q^{38} +(-4.01412 - 3.05146i) q^{39} +(0.424664 + 7.83248i) q^{40} +(-2.90804 + 1.34540i) q^{41} +(6.24954 + 0.679679i) q^{42} +(4.42772 + 1.49187i) q^{43} +(0.768748 + 4.68915i) q^{44} +(2.89291 + 2.74031i) q^{45} +(1.08653 + 3.91333i) q^{46} +(-1.44555 - 2.72660i) q^{47} +(-4.71082 + 1.58726i) q^{48} +(6.80233 - 1.49731i) q^{49} +(4.89560 - 17.6324i) q^{50} +(-0.270596 + 0.162812i) q^{51} +(-4.15959 + 0.452383i) q^{52} +(7.10171 + 1.56320i) q^{53} +(-0.787958 + 1.48625i) q^{54} +(-3.69154 + 22.5174i) q^{55} +(-5.85629 + 4.45184i) q^{56} +(0.313396 + 0.368958i) q^{57} -0.149429 q^{58} +(7.30340 - 2.37915i) q^{59} +3.30658 q^{60} +(-5.67335 - 6.67919i) q^{61} +(5.68182 - 4.31921i) q^{62} +(-0.604579 + 3.68777i) q^{63} +(1.17001 - 2.20686i) q^{64} +(-19.6225 - 4.31923i) q^{65} +(-9.57637 + 1.04149i) q^{66} +(-7.03800 + 4.23463i) q^{67} +(-0.0701068 + 0.252502i) q^{68} +(-2.35787 + 0.519007i) q^{69} +(23.7384 - 7.99841i) q^{70} +(5.48609 + 10.3479i) q^{71} +(-0.526630 - 1.89675i) q^{72} +(-4.48794 - 4.25121i) q^{73} +(-0.758586 - 4.62717i) q^{74} +(10.3088 + 3.47343i) q^{75} +(0.399351 + 0.0434320i) q^{76} +(-19.4215 + 8.98532i) q^{77} +(-0.459213 - 8.46969i) q^{78} +(-5.92365 - 4.50304i) q^{79} +(-14.3808 + 13.6222i) q^{80} +(-0.856857 - 0.515554i) q^{81} +(-4.89192 - 2.26324i) q^{82} +(5.93402 - 14.8933i) q^{83} +(1.74024 + 2.56666i) q^{84} +(-0.706189 + 1.04155i) q^{85} +(2.90920 + 7.30153i) q^{86} +(0.00480912 - 0.0886991i) q^{87} +(7.29752 - 8.59130i) q^{88} +(8.27276 - 9.73945i) q^{89} +(-0.362902 + 6.69333i) q^{90} +(-6.97451 - 17.5047i) q^{91} +(-1.12429 + 1.65821i) q^{92} +(2.38096 + 3.51166i) q^{93} +(1.92155 - 4.82272i) q^{94} +(1.75071 + 0.809964i) q^{95} +(-3.79184 - 2.28148i) q^{96} +(-4.20765 + 3.98569i) q^{97} +(9.32769 + 7.09073i) q^{98} +(-0.310017 - 5.71793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{8}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.08904 + 1.28211i 0.770064 + 0.906590i 0.997743 0.0671465i \(-0.0213895\pi\)
−0.227679 + 0.973736i \(0.573114\pi\)
\(3\) −0.796093 + 0.605174i −0.459625 + 0.349397i
\(4\) −0.134248 + 0.818877i −0.0671240 + 0.409438i
\(5\) −1.86649 + 3.52057i −0.834720 + 1.57445i −0.0162713 + 0.999868i \(0.505180\pi\)
−0.818448 + 0.574580i \(0.805165\pi\)
\(6\) −1.64287 0.361624i −0.670701 0.147632i
\(7\) −3.71509 + 0.404041i −1.40417 + 0.152713i −0.778634 0.627479i \(-0.784087\pi\)
−0.625540 + 0.780192i \(0.715121\pi\)
\(8\) 1.68672 1.01487i 0.596347 0.358810i
\(9\) 0.267528 0.963550i 0.0891761 0.321183i
\(10\) −6.54644 + 1.44098i −2.07017 + 0.455678i
\(11\) 5.42657 1.82842i 1.63617 0.551291i 0.656924 0.753956i \(-0.271857\pi\)
0.979248 + 0.202666i \(0.0649605\pi\)
\(12\) −0.388689 0.733145i −0.112205 0.211641i
\(13\) 1.34895 + 4.85848i 0.374132 + 1.34750i 0.875897 + 0.482498i \(0.160270\pi\)
−0.501765 + 0.865004i \(0.667316\pi\)
\(14\) −4.56389 4.32315i −1.21975 1.15541i
\(15\) −0.644660 3.93225i −0.166451 1.01530i
\(16\) 4.71082 + 1.58726i 1.17770 + 0.396815i
\(17\) 0.313949 + 0.0341440i 0.0761439 + 0.00828114i 0.146112 0.989268i \(-0.453324\pi\)
−0.0699678 + 0.997549i \(0.522290\pi\)
\(18\) 1.52673 0.706339i 0.359853 0.166486i
\(19\) −0.0262083 0.483384i −0.00601261 0.110896i −0.999999 0.00139263i \(-0.999557\pi\)
0.993986 0.109503i \(-0.0349260\pi\)
\(20\) −2.63234 2.00105i −0.588610 0.447449i
\(21\) 2.71305 2.56993i 0.592035 0.560805i
\(22\) 8.25397 + 4.96625i 1.75975 + 1.05881i
\(23\) 2.19117 + 1.01375i 0.456891 + 0.211380i 0.634816 0.772664i \(-0.281076\pi\)
−0.177924 + 0.984044i \(0.556938\pi\)
\(24\) −0.728617 + 1.82869i −0.148728 + 0.373280i
\(25\) −6.10471 9.00378i −1.22094 1.80076i
\(26\) −4.76006 + 7.02057i −0.933525 + 1.37685i
\(27\) 0.370138 + 0.928977i 0.0712331 + 0.178782i
\(28\) 0.167884 3.09645i 0.0317272 0.585173i
\(29\) −0.0575069 + 0.0677024i −0.0106788 + 0.0125720i −0.767476 0.641078i \(-0.778487\pi\)
0.756797 + 0.653650i \(0.226763\pi\)
\(30\) 4.33953 5.10889i 0.792286 0.932752i
\(31\) 0.229697 4.23651i 0.0412547 0.760899i −0.902588 0.430505i \(-0.858336\pi\)
0.943843 0.330394i \(-0.107182\pi\)
\(32\) 1.63797 + 4.11099i 0.289555 + 0.726727i
\(33\) −3.21354 + 4.73962i −0.559405 + 0.825061i
\(34\) 0.298125 + 0.439702i 0.0511281 + 0.0754083i
\(35\) 5.51173 13.8334i 0.931652 2.33827i
\(36\) 0.753113 + 0.348427i 0.125519 + 0.0580712i
\(37\) −2.38839 1.43704i −0.392648 0.236249i 0.305515 0.952187i \(-0.401171\pi\)
−0.698163 + 0.715939i \(0.745999\pi\)
\(38\) 0.591211 0.560025i 0.0959071 0.0908480i
\(39\) −4.01412 3.05146i −0.642774 0.488624i
\(40\) 0.424664 + 7.83248i 0.0671453 + 1.23842i
\(41\) −2.90804 + 1.34540i −0.454160 + 0.210117i −0.633614 0.773650i \(-0.718429\pi\)
0.179453 + 0.983766i \(0.442567\pi\)
\(42\) 6.24954 + 0.679679i 0.964326 + 0.104877i
\(43\) 4.42772 + 1.49187i 0.675221 + 0.227508i 0.635962 0.771721i \(-0.280604\pi\)
0.0392591 + 0.999229i \(0.487500\pi\)
\(44\) 0.768748 + 4.68915i 0.115893 + 0.706917i
\(45\) 2.89291 + 2.74031i 0.431249 + 0.408501i
\(46\) 1.08653 + 3.91333i 0.160200 + 0.576990i
\(47\) −1.44555 2.72660i −0.210855 0.397715i 0.755414 0.655247i \(-0.227436\pi\)
−0.966270 + 0.257532i \(0.917091\pi\)
\(48\) −4.71082 + 1.58726i −0.679948 + 0.229101i
\(49\) 6.80233 1.49731i 0.971762 0.213901i
\(50\) 4.89560 17.6324i 0.692342 2.49359i
\(51\) −0.270596 + 0.162812i −0.0378910 + 0.0227983i
\(52\) −4.15959 + 0.452383i −0.576832 + 0.0627343i
\(53\) 7.10171 + 1.56320i 0.975495 + 0.214723i 0.673989 0.738741i \(-0.264580\pi\)
0.301506 + 0.953464i \(0.402511\pi\)
\(54\) −0.787958 + 1.48625i −0.107228 + 0.202253i
\(55\) −3.69154 + 22.5174i −0.497767 + 3.03624i
\(56\) −5.85629 + 4.45184i −0.782580 + 0.594902i
\(57\) 0.313396 + 0.368958i 0.0415103 + 0.0488697i
\(58\) −0.149429 −0.0196210
\(59\) 7.30340 2.37915i 0.950822 0.309739i
\(60\) 3.30658 0.426877
\(61\) −5.67335 6.67919i −0.726398 0.855182i 0.267718 0.963497i \(-0.413730\pi\)
−0.994117 + 0.108315i \(0.965454\pi\)
\(62\) 5.68182 4.31921i 0.721592 0.548540i
\(63\) −0.604579 + 3.68777i −0.0761698 + 0.464616i
\(64\) 1.17001 2.20686i 0.146251 0.275858i
\(65\) −19.6225 4.31923i −2.43387 0.535734i
\(66\) −9.57637 + 1.04149i −1.17877 + 0.128199i
\(67\) −7.03800 + 4.23463i −0.859829 + 0.517342i −0.875880 0.482529i \(-0.839718\pi\)
0.0160508 + 0.999871i \(0.494891\pi\)
\(68\) −0.0701068 + 0.252502i −0.00850170 + 0.0306204i
\(69\) −2.35787 + 0.519007i −0.283854 + 0.0624811i
\(70\) 23.7384 7.99841i 2.83728 0.955993i
\(71\) 5.48609 + 10.3479i 0.651079 + 1.22807i 0.960801 + 0.277238i \(0.0894191\pi\)
−0.309722 + 0.950827i \(0.600236\pi\)
\(72\) −0.526630 1.89675i −0.0620639 0.223534i
\(73\) −4.48794 4.25121i −0.525274 0.497566i 0.378485 0.925607i \(-0.376445\pi\)
−0.903759 + 0.428041i \(0.859204\pi\)
\(74\) −0.758586 4.62717i −0.0881838 0.537897i
\(75\) 10.3088 + 3.47343i 1.19035 + 0.401077i
\(76\) 0.399351 + 0.0434320i 0.0458087 + 0.00498199i
\(77\) −19.4215 + 8.98532i −2.21328 + 1.02397i
\(78\) −0.459213 8.46969i −0.0519957 0.959004i
\(79\) −5.92365 4.50304i −0.666463 0.506632i 0.216374 0.976310i \(-0.430577\pi\)
−0.882838 + 0.469678i \(0.844370\pi\)
\(80\) −14.3808 + 13.6222i −1.60782 + 1.52301i
\(81\) −0.856857 0.515554i −0.0952064 0.0572838i
\(82\) −4.89192 2.26324i −0.540222 0.249934i
\(83\) 5.93402 14.8933i 0.651343 1.63475i −0.115800 0.993273i \(-0.536943\pi\)
0.767143 0.641476i \(-0.221678\pi\)
\(84\) 1.74024 + 2.56666i 0.189875 + 0.280045i
\(85\) −0.706189 + 1.04155i −0.0765970 + 0.112972i
\(86\) 2.90920 + 7.30153i 0.313707 + 0.787344i
\(87\) 0.00480912 0.0886991i 0.000515592 0.00950954i
\(88\) 7.29752 8.59130i 0.777918 0.915836i
\(89\) 8.27276 9.73945i 0.876911 1.03238i −0.122293 0.992494i \(-0.539025\pi\)
0.999204 0.0398856i \(-0.0126993\pi\)
\(90\) −0.362902 + 6.69333i −0.0382532 + 0.705538i
\(91\) −6.97451 17.5047i −0.731127 1.83499i
\(92\) −1.12429 + 1.65821i −0.117216 + 0.172880i
\(93\) 2.38096 + 3.51166i 0.246894 + 0.364142i
\(94\) 1.92155 4.82272i 0.198193 0.497426i
\(95\) 1.75071 + 0.809964i 0.179619 + 0.0831005i
\(96\) −3.79184 2.28148i −0.387003 0.232852i
\(97\) −4.20765 + 3.98569i −0.427222 + 0.404686i −0.870869 0.491516i \(-0.836443\pi\)
0.443647 + 0.896202i \(0.353684\pi\)
\(98\) 9.32769 + 7.09073i 0.942239 + 0.716272i
\(99\) −0.310017 5.71793i −0.0311579 0.574673i
\(100\) 8.19253 3.79027i 0.819253 0.379027i
\(101\) −5.35754 0.582668i −0.533096 0.0579776i −0.162387 0.986727i \(-0.551919\pi\)
−0.370708 + 0.928749i \(0.620885\pi\)
\(102\) −0.503432 0.169626i −0.0498472 0.0167955i
\(103\) 0.0344553 + 0.210168i 0.00339498 + 0.0207085i 0.988470 0.151419i \(-0.0483842\pi\)
−0.985075 + 0.172127i \(0.944936\pi\)
\(104\) 7.20603 + 6.82591i 0.706609 + 0.669336i
\(105\) 3.98377 + 14.3482i 0.388776 + 1.40024i
\(106\) 5.72981 + 10.8076i 0.556529 + 1.04972i
\(107\) −2.09344 + 0.705362i −0.202380 + 0.0681899i −0.418666 0.908140i \(-0.637502\pi\)
0.216286 + 0.976330i \(0.430606\pi\)
\(108\) −0.810408 + 0.178384i −0.0779815 + 0.0171650i
\(109\) −3.62588 + 13.0592i −0.347296 + 1.25085i 0.559341 + 0.828937i \(0.311054\pi\)
−0.906638 + 0.421910i \(0.861360\pi\)
\(110\) −32.8900 + 19.7893i −3.13594 + 1.88683i
\(111\) 2.77104 0.301369i 0.263015 0.0286047i
\(112\) −18.1424 3.99345i −1.71430 0.377346i
\(113\) −5.58823 + 10.5405i −0.525697 + 0.991569i 0.468446 + 0.883492i \(0.344814\pi\)
−0.994143 + 0.108077i \(0.965531\pi\)
\(114\) −0.131746 + 0.803618i −0.0123392 + 0.0752657i
\(115\) −7.65877 + 5.82204i −0.714184 + 0.542908i
\(116\) −0.0477197 0.0561800i −0.00443066 0.00521618i
\(117\) 5.04228 0.466159
\(118\) 11.0040 + 6.77280i 1.01300 + 0.623487i
\(119\) −1.18015 −0.108184
\(120\) −5.07808 5.97838i −0.463564 0.545749i
\(121\) 17.3475 13.1872i 1.57705 1.19884i
\(122\) 2.38498 14.5477i 0.215926 1.31709i
\(123\) 1.50087 2.83094i 0.135329 0.255257i
\(124\) 3.43834 + 0.756836i 0.308772 + 0.0679659i
\(125\) 23.2859 2.53249i 2.08275 0.226513i
\(126\) −5.38654 + 3.24098i −0.479871 + 0.288729i
\(127\) −1.21345 + 4.37047i −0.107677 + 0.387816i −0.997675 0.0681468i \(-0.978291\pi\)
0.889999 + 0.455963i \(0.150705\pi\)
\(128\) 12.7473 2.80589i 1.12671 0.248008i
\(129\) −4.42772 + 1.49187i −0.389839 + 0.131352i
\(130\) −15.8318 29.8620i −1.38854 2.61907i
\(131\) 3.03574 + 10.9337i 0.265234 + 0.955286i 0.969448 + 0.245298i \(0.0788858\pi\)
−0.704214 + 0.709988i \(0.748700\pi\)
\(132\) −3.44975 3.26778i −0.300262 0.284423i
\(133\) 0.292674 + 1.78523i 0.0253780 + 0.154799i
\(134\) −13.0939 4.41185i −1.13114 0.381126i
\(135\) −3.96139 0.430827i −0.340942 0.0370797i
\(136\) 0.564197 0.261025i 0.0483795 0.0223827i
\(137\) 0.0977820 + 1.80348i 0.00835408 + 0.154082i 0.999734 + 0.0230634i \(0.00734197\pi\)
−0.991380 + 0.131018i \(0.958175\pi\)
\(138\) −3.23323 2.45784i −0.275231 0.209225i
\(139\) 12.6221 11.9563i 1.07059 1.01412i 0.0707314 0.997495i \(-0.477467\pi\)
0.999862 0.0166243i \(-0.00529193\pi\)
\(140\) 10.5879 + 6.37053i 0.894842 + 0.538408i
\(141\) 2.80086 + 1.29582i 0.235875 + 0.109127i
\(142\) −7.29257 + 18.3030i −0.611979 + 1.53595i
\(143\) 16.2036 + 23.8985i 1.35501 + 1.99849i
\(144\) 2.78968 4.11447i 0.232473 0.342873i
\(145\) −0.131015 0.328823i −0.0108802 0.0273073i
\(146\) 0.562991 10.3838i 0.0465935 0.859366i
\(147\) −4.50916 + 5.30859i −0.371909 + 0.437845i
\(148\) 1.49740 1.76287i 0.123085 0.144907i
\(149\) −0.772048 + 14.2396i −0.0632486 + 1.16655i 0.778843 + 0.627218i \(0.215807\pi\)
−0.842092 + 0.539334i \(0.818676\pi\)
\(150\) 6.77330 + 16.9997i 0.553037 + 1.38802i
\(151\) 6.99027 10.3099i 0.568860 0.839006i −0.429073 0.903270i \(-0.641160\pi\)
0.997933 + 0.0642639i \(0.0204699\pi\)
\(152\) −0.534778 0.788738i −0.0433762 0.0639751i
\(153\) 0.116890 0.293371i 0.00944998 0.0237177i
\(154\) −32.6708 15.1151i −2.63269 1.21801i
\(155\) 14.4862 + 8.71606i 1.16356 + 0.700091i
\(156\) 3.03765 2.87742i 0.243207 0.230378i
\(157\) −8.01217 6.09070i −0.639441 0.486090i 0.234504 0.972115i \(-0.424653\pi\)
−0.873945 + 0.486025i \(0.838446\pi\)
\(158\) −0.677663 12.4988i −0.0539120 0.994348i
\(159\) −6.59963 + 3.05332i −0.523385 + 0.242144i
\(160\) −17.5303 1.90653i −1.38589 0.150725i
\(161\) −8.55001 2.88083i −0.673835 0.227042i
\(162\) −0.272150 1.66004i −0.0213821 0.130425i
\(163\) −0.766078 0.725667i −0.0600038 0.0568387i 0.657110 0.753795i \(-0.271779\pi\)
−0.717114 + 0.696956i \(0.754537\pi\)
\(164\) −0.711321 2.56195i −0.0555449 0.200055i
\(165\) −10.6881 20.1599i −0.832069 1.56945i
\(166\) 25.5572 8.61122i 1.98362 0.668360i
\(167\) 16.0055 3.52307i 1.23854 0.272624i 0.453044 0.891488i \(-0.350338\pi\)
0.785498 + 0.618864i \(0.212407\pi\)
\(168\) 1.96802 7.08815i 0.151836 0.546863i
\(169\) −10.6461 + 6.40552i −0.818928 + 0.492733i
\(170\) −2.10445 + 0.228873i −0.161404 + 0.0175537i
\(171\) −0.472777 0.104066i −0.0361541 0.00795813i
\(172\) −1.81607 + 3.42547i −0.138474 + 0.261190i
\(173\) 0.0899743 0.548819i 0.00684062 0.0417259i −0.983186 0.182609i \(-0.941546\pi\)
0.990026 + 0.140883i \(0.0449941\pi\)
\(174\) 0.118959 0.0904306i 0.00901829 0.00685553i
\(175\) 26.3175 + 30.9833i 1.98941 + 2.34212i
\(176\) 28.4658 2.14569
\(177\) −4.37439 + 6.31385i −0.328799 + 0.474578i
\(178\) 21.4964 1.61122
\(179\) −15.0166 17.6789i −1.12239 1.32138i −0.941168 0.337938i \(-0.890270\pi\)
−0.181222 0.983442i \(-0.558005\pi\)
\(180\) −2.63234 + 2.00105i −0.196203 + 0.149150i
\(181\) 2.52753 15.4172i 0.187869 1.14595i −0.709511 0.704695i \(-0.751084\pi\)
0.897380 0.441258i \(-0.145468\pi\)
\(182\) 14.8475 28.0053i 1.10057 2.07589i
\(183\) 8.55859 + 1.88389i 0.632669 + 0.139261i
\(184\) 4.72472 0.513845i 0.348311 0.0378811i
\(185\) 9.51712 5.72626i 0.699712 0.421003i
\(186\) −1.90939 + 6.87698i −0.140003 + 0.504245i
\(187\) 1.76610 0.388747i 0.129150 0.0284280i
\(188\) 2.42681 0.817688i 0.176993 0.0596360i
\(189\) −1.75044 3.30169i −0.127326 0.240162i
\(190\) 0.868119 + 3.12668i 0.0629800 + 0.226833i
\(191\) −5.56410 5.27059i −0.402604 0.381367i 0.459433 0.888213i \(-0.348053\pi\)
−0.862037 + 0.506846i \(0.830811\pi\)
\(192\) 0.404104 + 2.46493i 0.0291637 + 0.177891i
\(193\) 18.1200 + 6.10532i 1.30430 + 0.439471i 0.883819 0.467829i \(-0.154964\pi\)
0.420484 + 0.907300i \(0.361860\pi\)
\(194\) −9.69238 1.05411i −0.695872 0.0756807i
\(195\) 18.2352 8.43650i 1.30585 0.604150i
\(196\) 0.312910 + 5.77128i 0.0223507 + 0.412234i
\(197\) −10.8786 8.26966i −0.775065 0.589189i 0.141098 0.989996i \(-0.454937\pi\)
−0.916163 + 0.400807i \(0.868730\pi\)
\(198\) 6.99340 6.62450i 0.496999 0.470783i
\(199\) −4.96377 2.98660i −0.351872 0.211714i 0.328633 0.944458i \(-0.393412\pi\)
−0.680505 + 0.732743i \(0.738240\pi\)
\(200\) −19.4346 8.99141i −1.37423 0.635789i
\(201\) 3.04022 7.63038i 0.214441 0.538205i
\(202\) −5.08751 7.50351i −0.357956 0.527945i
\(203\) 0.186289 0.274756i 0.0130749 0.0192841i
\(204\) −0.0969961 0.243442i −0.00679109 0.0170443i
\(205\) 0.691240 12.7492i 0.0482783 0.890440i
\(206\) −0.231936 + 0.273056i −0.0161597 + 0.0190247i
\(207\) 1.56300 1.84010i 0.108636 0.127896i
\(208\) −1.35701 + 25.0286i −0.0940917 + 1.73542i
\(209\) −1.02605 2.57520i −0.0709736 0.178130i
\(210\) −14.0576 + 20.7334i −0.970064 + 1.43074i
\(211\) −10.0931 14.8862i −0.694838 1.02481i −0.997427 0.0716885i \(-0.977161\pi\)
0.302589 0.953121i \(-0.402149\pi\)
\(212\) −2.23346 + 5.60557i −0.153395 + 0.384992i
\(213\) −10.6297 4.91782i −0.728335 0.336964i
\(214\) −3.18418 1.91586i −0.217666 0.130965i
\(215\) −13.5165 + 12.8035i −0.921820 + 0.873194i
\(216\) 1.56711 + 1.19129i 0.106628 + 0.0810567i
\(217\) 0.858377 + 15.8318i 0.0582704 + 1.07473i
\(218\) −20.6921 + 9.57319i −1.40145 + 0.648378i
\(219\) 6.14554 + 0.668368i 0.415277 + 0.0451641i
\(220\) −17.9434 6.04582i −1.20974 0.407609i
\(221\) 0.257614 + 1.57138i 0.0173290 + 0.105702i
\(222\) 3.40415 + 3.22458i 0.228471 + 0.216420i
\(223\) −2.77459 9.99316i −0.185800 0.669192i −0.996490 0.0837154i \(-0.973321\pi\)
0.810690 0.585476i \(-0.199092\pi\)
\(224\) −7.74622 14.6109i −0.517566 0.976233i
\(225\) −10.3088 + 3.47343i −0.687252 + 0.231562i
\(226\) −19.5999 + 4.31427i −1.30377 + 0.286981i
\(227\) −3.02373 + 10.8905i −0.200692 + 0.722827i 0.792855 + 0.609410i \(0.208594\pi\)
−0.993547 + 0.113417i \(0.963820\pi\)
\(228\) −0.344204 + 0.207101i −0.0227955 + 0.0137156i
\(229\) 7.10496 0.772711i 0.469509 0.0510622i 0.129693 0.991554i \(-0.458601\pi\)
0.339816 + 0.940492i \(0.389635\pi\)
\(230\) −15.8052 3.47898i −1.04216 0.229397i
\(231\) 10.0236 18.9065i 0.659505 1.24396i
\(232\) −0.0282893 + 0.172557i −0.00185728 + 0.0113289i
\(233\) −11.8297 + 8.99274i −0.774993 + 0.589134i −0.916142 0.400854i \(-0.868713\pi\)
0.141149 + 0.989988i \(0.454920\pi\)
\(234\) 5.49122 + 6.46476i 0.358972 + 0.422615i
\(235\) 12.2973 0.802187
\(236\) 0.967762 + 6.29998i 0.0629959 + 0.410094i
\(237\) 7.44091 0.483339
\(238\) −1.28522 1.51308i −0.0833085 0.0980784i
\(239\) −8.88309 + 6.75275i −0.574599 + 0.436799i −0.851691 0.524044i \(-0.824423\pi\)
0.277092 + 0.960844i \(0.410629\pi\)
\(240\) 3.20463 19.5474i 0.206858 1.26178i
\(241\) −13.3165 + 25.1176i −0.857791 + 1.61797i −0.0737338 + 0.997278i \(0.523492\pi\)
−0.784058 + 0.620688i \(0.786853\pi\)
\(242\) 35.7995 + 7.88008i 2.30128 + 0.506550i
\(243\) 0.994138 0.108119i 0.0637740 0.00693584i
\(244\) 6.23107 3.74911i 0.398903 0.240012i
\(245\) −7.42511 + 26.7428i −0.474373 + 1.70854i
\(246\) 5.26408 1.15871i 0.335626 0.0738768i
\(247\) 2.31316 0.779395i 0.147183 0.0495917i
\(248\) −3.91206 7.37893i −0.248416 0.468562i
\(249\) 4.28899 + 15.4475i 0.271804 + 0.978948i
\(250\) 28.6061 + 27.0971i 1.80921 + 1.71377i
\(251\) 1.07903 + 6.58180i 0.0681079 + 0.415440i 0.998771 + 0.0495626i \(0.0157827\pi\)
−0.930663 + 0.365877i \(0.880769\pi\)
\(252\) −2.93867 0.990152i −0.185119 0.0623737i
\(253\) 13.7441 + 1.49476i 0.864085 + 0.0939749i
\(254\) −6.92493 + 3.20381i −0.434508 + 0.201025i
\(255\) −0.0681276 1.25654i −0.00426632 0.0786876i
\(256\) 13.5027 + 10.2645i 0.843918 + 0.641530i
\(257\) 6.21036 5.88277i 0.387392 0.366957i −0.469076 0.883158i \(-0.655413\pi\)
0.856467 + 0.516201i \(0.172654\pi\)
\(258\) −6.73469 4.05213i −0.419283 0.252274i
\(259\) 9.45370 + 4.37375i 0.587425 + 0.271772i
\(260\) 6.17119 15.4885i 0.382721 0.960557i
\(261\) 0.0498499 + 0.0735231i 0.00308563 + 0.00455096i
\(262\) −10.7123 + 15.7994i −0.661805 + 0.976090i
\(263\) −9.36624 23.5075i −0.577547 1.44953i −0.869903 0.493224i \(-0.835818\pi\)
0.292356 0.956310i \(-0.405561\pi\)
\(264\) −0.610269 + 11.2557i −0.0375594 + 0.692743i
\(265\) −18.7586 + 22.0844i −1.15233 + 1.35663i
\(266\) −1.97013 + 2.31942i −0.120797 + 0.142213i
\(267\) −0.691826 + 12.7600i −0.0423390 + 0.780898i
\(268\) −2.52280 6.33175i −0.154104 0.386773i
\(269\) −0.409320 + 0.603702i −0.0249567 + 0.0368084i −0.839963 0.542644i \(-0.817423\pi\)
0.815006 + 0.579452i \(0.196734\pi\)
\(270\) −3.76172 5.54813i −0.228931 0.337648i
\(271\) −0.607693 + 1.52519i −0.0369147 + 0.0926489i −0.946278 0.323353i \(-0.895190\pi\)
0.909364 + 0.416002i \(0.136569\pi\)
\(272\) 1.42476 + 0.659165i 0.0863889 + 0.0399677i
\(273\) 16.1457 + 9.71458i 0.977185 + 0.587953i
\(274\) −2.20578 + 2.08942i −0.133256 + 0.126227i
\(275\) −49.5904 37.6976i −2.99041 2.27325i
\(276\) −0.108463 2.00048i −0.00652870 0.120415i
\(277\) 4.15921 1.92426i 0.249903 0.115617i −0.290939 0.956742i \(-0.593968\pi\)
0.540842 + 0.841124i \(0.318106\pi\)
\(278\) 29.0752 + 3.16212i 1.74382 + 0.189651i
\(279\) −4.02064 1.35471i −0.240709 0.0811043i
\(280\) −4.74231 28.9268i −0.283407 1.72871i
\(281\) 20.4817 + 19.4013i 1.22184 + 1.15739i 0.982463 + 0.186460i \(0.0597014\pi\)
0.239376 + 0.970927i \(0.423057\pi\)
\(282\) 1.38886 + 5.00221i 0.0827052 + 0.297877i
\(283\) −4.21331 7.94714i −0.250455 0.472409i 0.726125 0.687563i \(-0.241319\pi\)
−0.976580 + 0.215154i \(0.930975\pi\)
\(284\) −9.21012 + 3.10325i −0.546520 + 0.184144i
\(285\) −1.88390 + 0.414677i −0.111592 + 0.0245633i
\(286\) −12.9942 + 46.8010i −0.768366 + 2.76740i
\(287\) 10.2601 6.17327i 0.605632 0.364397i
\(288\) 4.39935 0.478458i 0.259234 0.0281934i
\(289\) −16.5052 3.63306i −0.970891 0.213709i
\(290\) 0.278908 0.526076i 0.0163780 0.0308922i
\(291\) 0.937639 5.71934i 0.0549653 0.335274i
\(292\) 4.08371 3.10436i 0.238981 0.181669i
\(293\) −10.8052 12.7209i −0.631246 0.743160i 0.349824 0.936816i \(-0.386241\pi\)
−0.981070 + 0.193655i \(0.937966\pi\)
\(294\) −11.7168 −0.683340
\(295\) −5.25576 + 30.1528i −0.306002 + 1.75556i
\(296\) −5.48696 −0.318923
\(297\) 3.70714 + 4.36439i 0.215110 + 0.253247i
\(298\) −19.0975 + 14.5176i −1.10629 + 0.840980i
\(299\) −1.96948 + 12.0133i −0.113898 + 0.694746i
\(300\) −4.22824 + 7.97531i −0.244118 + 0.460455i
\(301\) −17.0522 3.75347i −0.982871 0.216346i
\(302\) 20.8311 2.26552i 1.19869 0.130366i
\(303\) 4.61772 2.77839i 0.265281 0.159614i
\(304\) 0.643794 2.31874i 0.0369241 0.132989i
\(305\) 34.1038 7.50682i 1.95278 0.429839i
\(306\) 0.503432 0.169626i 0.0287793 0.00969687i
\(307\) 4.43894 + 8.37273i 0.253344 + 0.477857i 0.977264 0.212027i \(-0.0680065\pi\)
−0.723920 + 0.689884i \(0.757662\pi\)
\(308\) −4.75058 17.1100i −0.270689 0.974935i
\(309\) −0.154618 0.146462i −0.00879590 0.00833192i
\(310\) 4.60103 + 28.0650i 0.261321 + 1.59399i
\(311\) −0.326496 0.110009i −0.0185139 0.00623806i 0.310029 0.950727i \(-0.399661\pi\)
−0.328543 + 0.944489i \(0.606558\pi\)
\(312\) −9.86754 1.07316i −0.558639 0.0607557i
\(313\) −4.27955 + 1.97993i −0.241894 + 0.111912i −0.537091 0.843524i \(-0.680477\pi\)
0.295197 + 0.955436i \(0.404615\pi\)
\(314\) −0.916589 16.9055i −0.0517261 0.954032i
\(315\) −11.8546 9.01165i −0.667933 0.507749i
\(316\) 4.48268 4.24622i 0.252170 0.238868i
\(317\) −1.91668 1.15323i −0.107651 0.0647717i 0.460710 0.887551i \(-0.347595\pi\)
−0.568361 + 0.822779i \(0.692422\pi\)
\(318\) −11.1019 5.13630i −0.622565 0.288029i
\(319\) −0.188277 + 0.472539i −0.0105415 + 0.0264571i
\(320\) 5.58562 + 8.23818i 0.312246 + 0.460528i
\(321\) 1.23971 1.82843i 0.0691936 0.102053i
\(322\) −5.61771 14.0994i −0.313063 0.785729i
\(323\) 0.00827661 0.152653i 0.000460523 0.00849384i
\(324\) 0.537206 0.632448i 0.0298448 0.0351360i
\(325\) 35.5098 41.8053i 1.96973 2.31894i
\(326\) 0.0961008 1.77247i 0.00532253 0.0981683i
\(327\) −5.01657 12.5907i −0.277417 0.696265i
\(328\) −3.53966 + 5.22061i −0.195445 + 0.288260i
\(329\) 6.47202 + 9.54551i 0.356814 + 0.526261i
\(330\) 14.2075 35.6583i 0.782100 1.96292i
\(331\) −12.6673 5.86052i −0.696258 0.322123i 0.0396414 0.999214i \(-0.487378\pi\)
−0.735900 + 0.677091i \(0.763241\pi\)
\(332\) 11.3991 + 6.85862i 0.625608 + 0.376416i
\(333\) −2.02362 + 1.91688i −0.110894 + 0.105044i
\(334\) 21.9475 + 16.6841i 1.20091 + 0.912912i
\(335\) −1.77195 32.6817i −0.0968120 1.78559i
\(336\) 16.8598 7.80018i 0.919778 0.425535i
\(337\) −29.7057 3.23069i −1.61817 0.175987i −0.746261 0.665653i \(-0.768153\pi\)
−0.871910 + 0.489667i \(0.837118\pi\)
\(338\) −19.8065 6.67360i −1.07733 0.362996i
\(339\) −1.93010 11.7731i −0.104829 0.639426i
\(340\) −0.758098 0.718108i −0.0411136 0.0389449i
\(341\) −6.49967 23.4097i −0.351977 1.26771i
\(342\) −0.381446 0.719484i −0.0206262 0.0389052i
\(343\) 0.123331 0.0415552i 0.00665927 0.00224377i
\(344\) 8.98239 1.97717i 0.484298 0.106602i
\(345\) 2.57374 9.26978i 0.138566 0.499068i
\(346\) 0.801632 0.482326i 0.0430960 0.0259300i
\(347\) 11.9709 1.30191i 0.642632 0.0698904i 0.219000 0.975725i \(-0.429721\pi\)
0.423632 + 0.905834i \(0.360755\pi\)
\(348\) 0.0719880 + 0.0158458i 0.00385896 + 0.000849422i
\(349\) 9.37603 17.6851i 0.501888 0.946660i −0.495080 0.868847i \(-0.664861\pi\)
0.996968 0.0778131i \(-0.0247938\pi\)
\(350\) −11.0634 + 67.4839i −0.591365 + 3.60717i
\(351\) −4.01412 + 3.05146i −0.214258 + 0.162875i
\(352\) 16.4052 + 19.3137i 0.874399 + 1.02942i
\(353\) 0.214858 0.0114357 0.00571786 0.999984i \(-0.498180\pi\)
0.00571786 + 0.999984i \(0.498180\pi\)
\(354\) −12.8589 + 1.26756i −0.683444 + 0.0673699i
\(355\) −46.6701 −2.47699
\(356\) 6.86481 + 8.08187i 0.363834 + 0.428338i
\(357\) 0.939506 0.714194i 0.0497240 0.0377992i
\(358\) 6.31271 38.5058i 0.333637 2.03510i
\(359\) 0.208861 0.393954i 0.0110233 0.0207921i −0.877939 0.478772i \(-0.841082\pi\)
0.888963 + 0.457980i \(0.151427\pi\)
\(360\) 7.66059 + 1.68622i 0.403749 + 0.0888718i
\(361\) 18.6556 2.02892i 0.981876 0.106785i
\(362\) 22.5192 13.5493i 1.18358 0.712137i
\(363\) −5.82966 + 20.9965i −0.305978 + 1.10203i
\(364\) 15.2705 3.36129i 0.800392 0.176180i
\(365\) 23.3434 7.86530i 1.22185 0.411689i
\(366\) 6.90525 + 13.0247i 0.360943 + 0.680811i
\(367\) 2.43722 + 8.77808i 0.127222 + 0.458212i 0.999527 0.0307497i \(-0.00978948\pi\)
−0.872305 + 0.488962i \(0.837376\pi\)
\(368\) 8.71314 + 8.25353i 0.454204 + 0.430245i
\(369\) 0.518380 + 3.16198i 0.0269858 + 0.164606i
\(370\) 17.7062 + 5.96591i 0.920500 + 0.310153i
\(371\) −27.0151 2.93807i −1.40256 0.152537i
\(372\) −3.19526 + 1.47828i −0.165666 + 0.0766454i
\(373\) 1.02855 + 18.9705i 0.0532564 + 0.982256i 0.896032 + 0.443990i \(0.146438\pi\)
−0.842775 + 0.538266i \(0.819080\pi\)
\(374\) 2.42176 + 1.84097i 0.125226 + 0.0951945i
\(375\) −17.0051 + 16.1081i −0.878142 + 0.831820i
\(376\) −5.20539 3.13198i −0.268447 0.161519i
\(377\) −0.406505 0.188069i −0.0209361 0.00968606i
\(378\) 2.32683 5.83991i 0.119679 0.300373i
\(379\) −17.0140 25.0938i −0.873951 1.28898i −0.956303 0.292378i \(-0.905553\pi\)
0.0823519 0.996603i \(-0.473757\pi\)
\(380\) −0.898289 + 1.32488i −0.0460813 + 0.0679648i
\(381\) −1.67887 4.21365i −0.0860112 0.215872i
\(382\) 0.697990 12.8737i 0.0357123 0.658674i
\(383\) −14.2954 + 16.8299i −0.730463 + 0.859968i −0.994521 0.104539i \(-0.966663\pi\)
0.264058 + 0.964507i \(0.414939\pi\)
\(384\) −8.44997 + 9.94808i −0.431211 + 0.507661i
\(385\) 4.61646 85.1457i 0.235277 4.33943i
\(386\) 11.9056 + 29.8807i 0.605977 + 1.52089i
\(387\) 2.62203 3.86721i 0.133285 0.196581i
\(388\) −2.69892 3.98061i −0.137017 0.202085i
\(389\) −12.3639 + 31.0311i −0.626876 + 1.57334i 0.180676 + 0.983543i \(0.442171\pi\)
−0.807552 + 0.589797i \(0.799208\pi\)
\(390\) 30.6753 + 14.1919i 1.55330 + 0.718635i
\(391\) 0.653304 + 0.393080i 0.0330390 + 0.0198789i
\(392\) 9.95409 9.42901i 0.502757 0.476237i
\(393\) −9.03355 6.86713i −0.455683 0.346401i
\(394\) −1.24450 22.9535i −0.0626971 1.15638i
\(395\) 26.9097 12.4498i 1.35398 0.626416i
\(396\) 4.72390 + 0.513755i 0.237385 + 0.0258171i
\(397\) 16.2553 + 5.47704i 0.815829 + 0.274885i 0.696121 0.717924i \(-0.254908\pi\)
0.119708 + 0.992809i \(0.461804\pi\)
\(398\) −1.57656 9.61662i −0.0790260 0.482037i
\(399\) −1.31337 1.24409i −0.0657508 0.0622824i
\(400\) −14.4669 52.1049i −0.723343 2.60525i
\(401\) 1.99834 + 3.76927i 0.0997924 + 0.188228i 0.928381 0.371629i \(-0.121201\pi\)
−0.828589 + 0.559858i \(0.810856\pi\)
\(402\) 13.0939 4.41185i 0.653064 0.220043i
\(403\) 20.8929 4.59886i 1.04075 0.229086i
\(404\) 1.19637 4.30895i 0.0595218 0.214378i
\(405\) 3.41436 2.05435i 0.169661 0.102082i
\(406\) 0.555143 0.0603754i 0.0275513 0.00299638i
\(407\) −15.5883 3.43124i −0.772682 0.170080i
\(408\) −0.291188 + 0.549238i −0.0144159 + 0.0271913i
\(409\) −6.13729 + 37.4358i −0.303469 + 1.85108i 0.190613 + 0.981665i \(0.438953\pi\)
−0.494082 + 0.869415i \(0.664496\pi\)
\(410\) 17.0986 12.9980i 0.844442 0.641928i
\(411\) −1.16926 1.37656i −0.0576756 0.0679009i
\(412\) −0.176727 −0.00870672
\(413\) −26.1715 + 11.7896i −1.28782 + 0.580130i
\(414\) 4.06137 0.199605
\(415\) 41.3571 + 48.6893i 2.03014 + 2.39006i
\(416\) −17.7636 + 13.5036i −0.870935 + 0.662067i
\(417\) −2.81273 + 17.1569i −0.137740 + 0.840177i
\(418\) 2.18428 4.12000i 0.106837 0.201516i
\(419\) −37.2961 8.20950i −1.82204 0.401060i −0.833559 0.552431i \(-0.813700\pi\)
−0.988477 + 0.151370i \(0.951631\pi\)
\(420\) −12.2842 + 1.33599i −0.599410 + 0.0651897i
\(421\) 19.3643 11.6511i 0.943757 0.567840i 0.0415468 0.999137i \(-0.486771\pi\)
0.902210 + 0.431297i \(0.141944\pi\)
\(422\) 8.09404 29.1521i 0.394012 1.41910i
\(423\) −3.01394 + 0.663419i −0.146543 + 0.0322565i
\(424\) 13.5651 4.57061i 0.658778 0.221968i
\(425\) −1.60914 3.03517i −0.0780550 0.147227i
\(426\) −5.27092 18.9841i −0.255377 0.919785i
\(427\) 23.7757 + 22.5215i 1.15059 + 1.08989i
\(428\) −0.296564 1.80896i −0.0143350 0.0874395i
\(429\) −27.3623 9.21942i −1.32106 0.445118i
\(430\) −31.1356 3.38620i −1.50149 0.163297i
\(431\) −18.4033 + 8.51428i −0.886456 + 0.410118i −0.809640 0.586927i \(-0.800338\pi\)
−0.0768164 + 0.997045i \(0.524476\pi\)
\(432\) 0.269126 + 4.96374i 0.0129483 + 0.238818i
\(433\) −17.0433 12.9560i −0.819047 0.622623i 0.109438 0.993994i \(-0.465095\pi\)
−0.928485 + 0.371370i \(0.878888\pi\)
\(434\) −19.3634 + 18.3420i −0.929471 + 0.880442i
\(435\) 0.303295 + 0.182487i 0.0145419 + 0.00874957i
\(436\) −10.2071 4.72232i −0.488833 0.226158i
\(437\) 0.432602 1.08575i 0.0206941 0.0519384i
\(438\) 5.83579 + 8.60715i 0.278845 + 0.411265i
\(439\) −13.0697 + 19.2763i −0.623781 + 0.920008i −0.999979 0.00653140i \(-0.997921\pi\)
0.376198 + 0.926539i \(0.377231\pi\)
\(440\) 16.6256 + 41.7270i 0.792592 + 1.98926i
\(441\) 0.377087 6.95496i 0.0179565 0.331189i
\(442\) −1.73413 + 2.04157i −0.0824841 + 0.0971078i
\(443\) −0.574033 + 0.675804i −0.0272731 + 0.0321084i −0.775630 0.631188i \(-0.782567\pi\)
0.748356 + 0.663297i \(0.230843\pi\)
\(444\) −0.125223 + 2.30960i −0.00594281 + 0.109609i
\(445\) 18.8474 + 47.3034i 0.893453 + 2.24240i
\(446\) 9.79073 14.4402i 0.463604 0.683765i
\(447\) −8.00281 11.8033i −0.378520 0.558275i
\(448\) −3.45502 + 8.67144i −0.163234 + 0.409687i
\(449\) 9.11921 + 4.21900i 0.430362 + 0.199107i 0.623098 0.782144i \(-0.285874\pi\)
−0.192736 + 0.981251i \(0.561736\pi\)
\(450\) −15.6799 9.43431i −0.739160 0.444738i
\(451\) −13.3207 + 12.6181i −0.627249 + 0.594162i
\(452\) −7.88118 5.99112i −0.370699 0.281798i
\(453\) 0.674366 + 12.4380i 0.0316845 + 0.584386i
\(454\) −17.2558 + 7.98337i −0.809854 + 0.374678i
\(455\) 74.6444 + 8.11807i 3.49938 + 0.380581i
\(456\) 0.903057 + 0.304275i 0.0422895 + 0.0142490i
\(457\) 1.80670 + 11.0204i 0.0845139 + 0.515512i 0.994826 + 0.101590i \(0.0323931\pi\)
−0.910312 + 0.413922i \(0.864159\pi\)
\(458\) 8.72825 + 8.26784i 0.407844 + 0.386331i
\(459\) 0.0844856 + 0.304290i 0.00394345 + 0.0142030i
\(460\) −3.73936 7.05318i −0.174349 0.328856i
\(461\) 23.1711 7.80725i 1.07919 0.363620i 0.277107 0.960839i \(-0.410624\pi\)
0.802078 + 0.597219i \(0.203728\pi\)
\(462\) 35.1563 7.73849i 1.63562 0.360027i
\(463\) 5.31820 19.1544i 0.247158 0.890181i −0.731011 0.682366i \(-0.760951\pi\)
0.978168 0.207815i \(-0.0666352\pi\)
\(464\) −0.378366 + 0.227655i −0.0175652 + 0.0105686i
\(465\) −16.8071 + 1.82788i −0.779411 + 0.0847660i
\(466\) −24.4127 5.37364i −1.13090 0.248929i
\(467\) −4.89733 + 9.23735i −0.226622 + 0.427454i −0.970582 0.240770i \(-0.922600\pi\)
0.743961 + 0.668223i \(0.232945\pi\)
\(468\) −0.676916 + 4.12900i −0.0312904 + 0.190863i
\(469\) 24.4359 18.5757i 1.12834 0.857745i
\(470\) 13.3922 + 15.7665i 0.617736 + 0.727255i
\(471\) 10.0644 0.463742
\(472\) 9.90430 11.4250i 0.455882 0.525876i
\(473\) 26.7551 1.23020
\(474\) 8.10341 + 9.54007i 0.372202 + 0.438190i
\(475\) −4.19229 + 3.18690i −0.192356 + 0.146225i
\(476\) 0.158432 0.966394i 0.00726173 0.0442946i
\(477\) 3.40614 6.42465i 0.155956 0.294165i
\(478\) −18.3318 4.03513i −0.838476 0.184563i
\(479\) −10.4093 + 1.13208i −0.475612 + 0.0517259i −0.342786 0.939413i \(-0.611371\pi\)
−0.132826 + 0.991139i \(0.542405\pi\)
\(480\) 15.1095 9.09110i 0.689653 0.414950i
\(481\) 3.76004 13.5424i 0.171443 0.617482i
\(482\) −46.7057 + 10.2807i −2.12739 + 0.468273i
\(483\) 8.55001 2.88083i 0.389039 0.131083i
\(484\) 8.46985 + 15.9758i 0.384993 + 0.726174i
\(485\) −6.17840 22.2526i −0.280547 1.01044i
\(486\) 1.22127 + 1.15685i 0.0553980 + 0.0524758i
\(487\) −5.38513 32.8478i −0.244024 1.48848i −0.770036 0.638001i \(-0.779762\pi\)
0.526012 0.850477i \(-0.323687\pi\)
\(488\) −16.3479 5.50824i −0.740033 0.249346i
\(489\) 1.04902 + 0.114088i 0.0474385 + 0.00515925i
\(490\) −42.3735 + 19.6041i −1.91424 + 0.885621i
\(491\) 0.615370 + 11.3498i 0.0277713 + 0.512211i 0.979017 + 0.203778i \(0.0653220\pi\)
−0.951246 + 0.308433i \(0.900195\pi\)
\(492\) 2.11670 + 1.60908i 0.0954283 + 0.0725427i
\(493\) −0.0203659 + 0.0192916i −0.000917233 + 0.000868849i
\(494\) 3.51839 + 2.11694i 0.158300 + 0.0952458i
\(495\) 20.7090 + 9.58101i 0.930801 + 0.430635i
\(496\) 7.80649 19.5928i 0.350522 0.879743i
\(497\) −24.5623 36.2267i −1.10177 1.62499i
\(498\) −15.1346 + 22.3219i −0.678198 + 1.00027i
\(499\) 12.0760 + 30.3085i 0.540597 + 1.35680i 0.904943 + 0.425532i \(0.139913\pi\)
−0.364346 + 0.931264i \(0.618708\pi\)
\(500\) −1.05229 + 19.4083i −0.0470596 + 0.867964i
\(501\) −10.6098 + 12.4908i −0.474010 + 0.558048i
\(502\) −7.26350 + 8.55126i −0.324186 + 0.381661i
\(503\) −0.729108 + 13.4476i −0.0325093 + 0.599599i 0.936210 + 0.351441i \(0.114308\pi\)
−0.968719 + 0.248158i \(0.920175\pi\)
\(504\) 2.72284 + 6.83382i 0.121285 + 0.304403i
\(505\) 12.0511 17.7741i 0.536268 0.790936i
\(506\) 13.0514 + 19.2493i 0.580204 + 0.855737i
\(507\) 4.59880 11.5421i 0.204240 0.512603i
\(508\) −3.41597 1.58040i −0.151559 0.0701188i
\(509\) 11.4292 + 6.87672i 0.506590 + 0.304805i 0.745808 0.666161i \(-0.232064\pi\)
−0.239218 + 0.970966i \(0.576891\pi\)
\(510\) 1.53683 1.45576i 0.0680520 0.0644623i
\(511\) 18.3908 + 13.9803i 0.813561 + 0.618453i
\(512\) 0.131411 + 2.42374i 0.00580762 + 0.107115i
\(513\) 0.439352 0.203266i 0.0193979 0.00897441i
\(514\) 14.3057 + 1.55583i 0.630996 + 0.0686249i
\(515\) −0.804222 0.270974i −0.0354382 0.0119405i
\(516\) −0.627247 3.82604i −0.0276130 0.168432i
\(517\) −12.8298 12.1530i −0.564253 0.534488i
\(518\) 4.68778 + 16.8839i 0.205969 + 0.741835i
\(519\) 0.260503 + 0.491361i 0.0114348 + 0.0215683i
\(520\) −37.4811 + 12.6289i −1.64366 + 0.553812i
\(521\) −31.8252 + 7.00527i −1.39429 + 0.306906i −0.847692 0.530489i \(-0.822008\pi\)
−0.546597 + 0.837395i \(0.684077\pi\)
\(522\) −0.0399765 + 0.143982i −0.00174972 + 0.00630194i
\(523\) −24.6956 + 14.8589i −1.07986 + 0.649732i −0.940254 0.340474i \(-0.889412\pi\)
−0.139610 + 0.990207i \(0.544585\pi\)
\(524\) −9.36093 + 1.01806i −0.408934 + 0.0444743i
\(525\) −39.7015 8.73896i −1.73271 0.381399i
\(526\) 19.9390 37.6090i 0.869384 1.63983i
\(527\) 0.216764 1.32220i 0.00944241 0.0575962i
\(528\) −22.6614 + 17.2267i −0.986211 + 0.749698i
\(529\) −11.1163 13.0871i −0.483318 0.569006i
\(530\) −48.7435 −2.11728
\(531\) −0.338562 7.67368i −0.0146923 0.333009i
\(532\) −1.50117 −0.0650841
\(533\) −10.4594 12.3138i −0.453049 0.533370i
\(534\) −17.1131 + 13.0091i −0.740558 + 0.562957i
\(535\) 1.42410 8.68665i 0.0615694 0.375557i
\(536\) −7.57358 + 14.2853i −0.327129 + 0.617031i
\(537\) 22.6534 + 4.98639i 0.977565 + 0.215178i
\(538\) −1.21978 + 0.132659i −0.0525883 + 0.00571933i
\(539\) 34.1756 20.5628i 1.47205 0.885702i
\(540\) 0.884603 3.18605i 0.0380672 0.137106i
\(541\) −9.59088 + 2.11111i −0.412344 + 0.0907638i −0.416298 0.909228i \(-0.636673\pi\)
0.00395361 + 0.999992i \(0.498742\pi\)
\(542\) −2.61727 + 0.881860i −0.112421 + 0.0378791i
\(543\) 7.31796 + 13.8031i 0.314044 + 0.592349i
\(544\) 0.373873 + 1.34657i 0.0160297 + 0.0577337i
\(545\) −39.2083 37.1401i −1.67950 1.59091i
\(546\) 5.12812 + 31.2802i 0.219463 + 1.33867i
\(547\) −20.4953 6.90566i −0.876314 0.295265i −0.155035 0.987909i \(-0.549549\pi\)
−0.721279 + 0.692644i \(0.756446\pi\)
\(548\) −1.48996 0.162043i −0.0636478 0.00692212i
\(549\) −7.95351 + 3.67969i −0.339448 + 0.157045i
\(550\) −5.67312 104.634i −0.241902 4.46163i
\(551\) 0.0342334 + 0.0260236i 0.00145839 + 0.00110864i
\(552\) −3.45035 + 3.26835i −0.146857 + 0.139110i
\(553\) 23.8263 + 14.3358i 1.01320 + 0.609622i
\(554\) 6.99664 + 3.23699i 0.297259 + 0.137527i
\(555\) −4.11113 + 10.3181i −0.174508 + 0.437981i
\(556\) 8.09624 + 11.9411i 0.343357 + 0.506414i
\(557\) 7.40284 10.9184i 0.313668 0.462626i −0.637875 0.770140i \(-0.720187\pi\)
0.951544 + 0.307513i \(0.0994969\pi\)
\(558\) −2.64172 6.63023i −0.111833 0.280680i
\(559\) −1.27546 + 23.5245i −0.0539462 + 0.994979i
\(560\) 47.9219 56.4181i 2.02507 2.38410i
\(561\) −1.17072 + 1.37828i −0.0494277 + 0.0581908i
\(562\) −2.56934 + 47.3886i −0.108381 + 1.99897i
\(563\) 10.0601 + 25.2489i 0.423983 + 1.06412i 0.973511 + 0.228641i \(0.0734281\pi\)
−0.549528 + 0.835475i \(0.685193\pi\)
\(564\) −1.43712 + 2.11960i −0.0605138 + 0.0892512i
\(565\) −26.6783 39.3475i −1.12236 1.65536i
\(566\) 5.60068 14.0567i 0.235414 0.590845i
\(567\) 3.39161 + 1.56913i 0.142434 + 0.0658971i
\(568\) 19.7552 + 11.8863i 0.828911 + 0.498739i
\(569\) 21.8723 20.7186i 0.916935 0.868567i −0.0747566 0.997202i \(-0.523818\pi\)
0.991692 + 0.128634i \(0.0410594\pi\)
\(570\) −2.58329 1.96377i −0.108202 0.0822531i
\(571\) −0.673092 12.4145i −0.0281680 0.519529i −0.978237 0.207489i \(-0.933471\pi\)
0.950069 0.312039i \(-0.101012\pi\)
\(572\) −21.7452 + 10.0604i −0.909212 + 0.420646i
\(573\) 7.61917 + 0.828634i 0.318295 + 0.0346167i
\(574\) 19.0884 + 6.43163i 0.796734 + 0.268451i
\(575\) −4.24895 25.9175i −0.177194 1.08083i
\(576\) −1.81341 1.71776i −0.0755589 0.0715732i
\(577\) −1.67919 6.04791i −0.0699058 0.251778i 0.920338 0.391124i \(-0.127914\pi\)
−0.990244 + 0.139346i \(0.955500\pi\)
\(578\) −13.3167 25.1180i −0.553902 1.04477i
\(579\) −18.1200 + 6.10532i −0.753039 + 0.253729i
\(580\) 0.286854 0.0631413i 0.0119110 0.00262180i
\(581\) −16.0280 + 57.7275i −0.664952 + 2.39494i
\(582\) 8.35396 5.02641i 0.346283 0.208351i
\(583\) 41.3961 4.50210i 1.71445 0.186458i
\(584\) −11.8843 2.61594i −0.491777 0.108248i
\(585\) −9.41136 + 17.7517i −0.389112 + 0.733942i
\(586\) 4.54232 27.7069i 0.187641 1.14456i
\(587\) 31.7077 24.1036i 1.30872 0.994861i 0.309686 0.950839i \(-0.399776\pi\)
0.999031 0.0440218i \(-0.0140171\pi\)
\(588\) −3.74174 4.40511i −0.154307 0.181664i
\(589\) −2.05388 −0.0846287
\(590\) −44.3830 + 26.0990i −1.82722 + 1.07448i
\(591\) 13.6649 0.562100
\(592\) −8.97029 10.5606i −0.368677 0.434040i
\(593\) 21.4524 16.3077i 0.880944 0.669676i −0.0636307 0.997974i \(-0.520268\pi\)
0.944574 + 0.328298i \(0.106475\pi\)
\(594\) −1.55842 + 9.50594i −0.0639428 + 0.390034i
\(595\) 2.20273 4.15479i 0.0903032 0.170330i
\(596\) −11.5568 2.54385i −0.473386 0.104200i
\(597\) 5.75903 0.626333i 0.235702 0.0256341i
\(598\) −17.5472 + 10.5578i −0.717558 + 0.431740i
\(599\) 6.02860 21.7130i 0.246322 0.887171i −0.732211 0.681078i \(-0.761511\pi\)
0.978532 0.206093i \(-0.0660749\pi\)
\(600\) 20.9131 4.60333i 0.853775 0.187930i
\(601\) 30.4718 10.2671i 1.24297 0.418805i 0.380437 0.924807i \(-0.375774\pi\)
0.862532 + 0.506002i \(0.168877\pi\)
\(602\) −13.7581 25.9504i −0.560736 1.05766i
\(603\) 2.19741 + 7.91435i 0.0894854 + 0.322297i
\(604\) 7.50409 + 7.10825i 0.305337 + 0.289231i
\(605\) 14.0477 + 85.6870i 0.571119 + 3.48367i
\(606\) 8.59106 + 2.89467i 0.348988 + 0.117588i
\(607\) −8.98002 0.976636i −0.364488 0.0396404i −0.0759571 0.997111i \(-0.524201\pi\)
−0.288531 + 0.957471i \(0.593167\pi\)
\(608\) 1.94426 0.899511i 0.0788502 0.0364800i
\(609\) 0.0179717 + 0.331468i 0.000728250 + 0.0134318i
\(610\) 46.7648 + 35.5497i 1.89345 + 1.43937i
\(611\) 11.2972 10.7012i 0.457034 0.432926i
\(612\) 0.224543 + 0.135103i 0.00907660 + 0.00546121i
\(613\) −9.52299 4.40580i −0.384630 0.177949i 0.218039 0.975940i \(-0.430034\pi\)
−0.602669 + 0.797991i \(0.705896\pi\)
\(614\) −5.90061 + 14.8094i −0.238129 + 0.597659i
\(615\) 7.16518 + 10.5678i 0.288928 + 0.426137i
\(616\) −23.6397 + 34.8660i −0.952472 + 1.40479i
\(617\) 1.73769 + 4.36127i 0.0699567 + 0.175578i 0.959798 0.280693i \(-0.0905642\pi\)
−0.889841 + 0.456271i \(0.849185\pi\)
\(618\) 0.0193961 0.357739i 0.000780224 0.0143904i
\(619\) −12.7053 + 14.9578i −0.510667 + 0.601204i −0.955712 0.294304i \(-0.904912\pi\)
0.445044 + 0.895508i \(0.353188\pi\)
\(620\) −9.08212 + 10.6923i −0.364747 + 0.429413i
\(621\) −0.130708 + 2.41078i −0.00524515 + 0.0967411i
\(622\) −0.214522 0.538409i −0.00860153 0.0215882i
\(623\) −26.7990 + 39.5255i −1.07368 + 1.58356i
\(624\) −14.0663 20.7463i −0.563104 0.830517i
\(625\) −14.4148 + 36.1785i −0.576594 + 1.44714i
\(626\) −7.19907 3.33064i −0.287733 0.133119i
\(627\) 2.37528 + 1.42916i 0.0948595 + 0.0570751i
\(628\) 6.06315 5.74332i 0.241946 0.229183i
\(629\) −0.700765 0.532708i −0.0279413 0.0212405i
\(630\) −1.35616 25.0130i −0.0540308 0.996540i
\(631\) −11.6619 + 5.39538i −0.464254 + 0.214787i −0.638050 0.769995i \(-0.720259\pi\)
0.173796 + 0.984782i \(0.444397\pi\)
\(632\) −14.5616 1.58367i −0.579228 0.0629948i
\(633\) 17.0438 + 5.74273i 0.677431 + 0.228253i
\(634\) −0.608765 3.71330i −0.0241771 0.147474i
\(635\) −13.1217 12.4295i −0.520717 0.493249i
\(636\) −1.61430 5.81419i −0.0640112 0.230548i
\(637\) 16.4507 + 31.0292i 0.651799 + 1.22942i
\(638\) −0.810887 + 0.273220i −0.0321033 + 0.0108169i
\(639\) 11.4384 2.51777i 0.452495 0.0996016i
\(640\) −13.9143 + 50.1149i −0.550012 + 1.98097i
\(641\) 28.2890 17.0209i 1.11735 0.672287i 0.167774 0.985826i \(-0.446342\pi\)
0.949575 + 0.313539i \(0.101515\pi\)
\(642\) 3.69433 0.401783i 0.145804 0.0158571i
\(643\) 39.5167 + 8.69829i 1.55839 + 0.343027i 0.908791 0.417251i \(-0.137007\pi\)
0.649597 + 0.760279i \(0.274938\pi\)
\(644\) 3.50687 6.61466i 0.138190 0.260654i
\(645\) 3.01205 18.3727i 0.118599 0.723423i
\(646\) 0.204732 0.155633i 0.00805506 0.00612330i
\(647\) 9.28005 + 10.9253i 0.364836 + 0.429519i 0.913698 0.406395i \(-0.133214\pi\)
−0.548861 + 0.835914i \(0.684938\pi\)
\(648\) −1.96850 −0.0773300
\(649\) 35.2823 26.2643i 1.38495 1.03097i
\(650\) 92.2705 3.61915
\(651\) −10.2644 12.0841i −0.402292 0.473615i
\(652\) 0.697077 0.529904i 0.0272996 0.0207526i
\(653\) 1.03965 6.34158i 0.0406846 0.248165i −0.958652 0.284581i \(-0.908146\pi\)
0.999337 + 0.0364154i \(0.0115940\pi\)
\(654\) 10.6794 20.1435i 0.417597 0.787672i
\(655\) −44.1592 9.72018i −1.72544 0.379799i
\(656\) −15.8348 + 1.72214i −0.618244 + 0.0672381i
\(657\) −5.29690 + 3.18704i −0.206652 + 0.124338i
\(658\) −5.19016 + 18.6933i −0.202333 + 0.728739i
\(659\) −9.20944 + 2.02715i −0.358749 + 0.0789666i −0.390688 0.920523i \(-0.627763\pi\)
0.0319389 + 0.999490i \(0.489832\pi\)
\(660\) 17.9434 6.04582i 0.698445 0.235333i
\(661\) 15.4276 + 29.0996i 0.600066 + 1.13184i 0.978506 + 0.206218i \(0.0661156\pi\)
−0.378440 + 0.925626i \(0.623540\pi\)
\(662\) −6.28131 22.6232i −0.244130 0.879276i
\(663\) −1.15604 1.09506i −0.0448969 0.0425286i
\(664\) −5.10565 31.1431i −0.198138 1.20859i
\(665\) −6.83130 2.30173i −0.264907 0.0892574i
\(666\) −4.66145 0.506963i −0.180628 0.0196444i
\(667\) −0.194641 + 0.0900503i −0.00753651 + 0.00348676i
\(668\) 0.736258 + 13.5795i 0.0284867 + 0.525406i
\(669\) 8.25644 + 6.27638i 0.319212 + 0.242659i
\(670\) 39.9719 37.8634i 1.54425 1.46279i
\(671\) −42.9992 25.8718i −1.65997 0.998769i
\(672\) 15.0089 + 6.94384i 0.578979 + 0.267864i
\(673\) −0.0492258 + 0.123547i −0.00189751 + 0.00476240i −0.929922 0.367756i \(-0.880126\pi\)
0.928025 + 0.372518i \(0.121506\pi\)
\(674\) −28.2084 41.6043i −1.08655 1.60254i
\(675\) 6.10471 9.00378i 0.234971 0.346556i
\(676\) −3.81612 9.57774i −0.146774 0.368375i
\(677\) 1.04583 19.2892i 0.0401944 0.741343i −0.907088 0.420942i \(-0.861700\pi\)
0.947282 0.320401i \(-0.103818\pi\)
\(678\) 12.9925 15.2959i 0.498973 0.587436i
\(679\) 14.0214 16.5073i 0.538093 0.633492i
\(680\) −0.134109 + 2.47350i −0.00514285 + 0.0948544i
\(681\) −4.18347 10.4997i −0.160311 0.402350i
\(682\) 22.9355 33.8273i 0.878244 1.29531i
\(683\) 5.57436 + 8.22156i 0.213297 + 0.314589i 0.919254 0.393665i \(-0.128793\pi\)
−0.705957 + 0.708255i \(0.749483\pi\)
\(684\) 0.148687 0.373175i 0.00568517 0.0142687i
\(685\) −6.53180 3.02193i −0.249567 0.115462i
\(686\) 0.187591 + 0.112869i 0.00716224 + 0.00430938i
\(687\) −5.18858 + 4.91489i −0.197957 + 0.187515i
\(688\) 18.4902 + 14.0559i 0.704932 + 0.535875i
\(689\) 1.98506 + 36.6122i 0.0756247 + 1.39482i
\(690\) 14.6878 6.79529i 0.559154 0.258692i
\(691\) 23.5562 + 2.56189i 0.896120 + 0.0974589i 0.544575 0.838712i \(-0.316691\pi\)
0.351545 + 0.936171i \(0.385656\pi\)
\(692\) 0.437336 + 0.147356i 0.0166250 + 0.00560162i
\(693\) 3.46202 + 21.1174i 0.131511 + 0.802183i
\(694\) 14.7059 + 13.9302i 0.558230 + 0.528783i
\(695\) 18.5340 + 66.7533i 0.703034 + 2.53210i
\(696\) −0.0819062 0.154491i −0.00310465 0.00585598i
\(697\) −0.958916 + 0.323096i −0.0363215 + 0.0122381i
\(698\) 32.8851 7.23855i 1.24472 0.273983i
\(699\) 3.97541 14.3181i 0.150364 0.541561i
\(700\) −28.9046 + 17.3913i −1.09249 + 0.657330i
\(701\) −37.0751 + 4.03216i −1.40031 + 0.152293i −0.776910 0.629612i \(-0.783214\pi\)
−0.623398 + 0.781905i \(0.714248\pi\)
\(702\) −8.28383 1.82341i −0.312653 0.0688201i
\(703\) −0.632049 + 1.19217i −0.0238382 + 0.0449636i
\(704\) 2.31403 14.1150i 0.0872134 0.531978i
\(705\) −9.78980 + 7.44201i −0.368705 + 0.280282i
\(706\) 0.233988 + 0.275471i 0.00880624 + 0.0103675i
\(707\) 20.1392 0.757413
\(708\) −4.58301 4.42971i −0.172240 0.166479i
\(709\) 12.8027 0.480816 0.240408 0.970672i \(-0.422719\pi\)
0.240408 + 0.970672i \(0.422719\pi\)
\(710\) −50.8254 59.8363i −1.90744 2.24562i
\(711\) −5.92365 + 4.50304i −0.222154 + 0.168877i
\(712\) 4.06961 24.8235i 0.152515 0.930301i
\(713\) 4.79804 9.05007i 0.179688 0.338928i
\(714\) 1.93883 + 0.426769i 0.0725590 + 0.0159714i
\(715\) −114.380 + 12.4396i −4.27757 + 0.465214i
\(716\) 16.4928 9.92336i 0.616363 0.370853i
\(717\) 2.98518 10.7516i 0.111483 0.401527i
\(718\) 0.732551 0.161247i 0.0273386 0.00601767i
\(719\) −4.82625 + 1.62615i −0.179989 + 0.0606453i −0.407853 0.913048i \(-0.633722\pi\)
0.227864 + 0.973693i \(0.426826\pi\)
\(720\) 9.27838 + 17.5009i 0.345785 + 0.652220i
\(721\) −0.212921 0.766872i −0.00792959 0.0285598i
\(722\) 22.9180 + 21.7091i 0.852918 + 0.807927i
\(723\) −4.59934 28.0547i −0.171051 1.04337i
\(724\) 12.2855 + 4.13946i 0.456587 + 0.153842i
\(725\) 0.960640 + 0.104476i 0.0356773 + 0.00388014i
\(726\) −33.2686 + 15.3917i −1.23471 + 0.571239i
\(727\) 0.922998 + 17.0237i 0.0342321 + 0.631374i 0.964434 + 0.264325i \(0.0851491\pi\)
−0.930202 + 0.367049i \(0.880368\pi\)
\(728\) −29.5290 22.4474i −1.09442 0.831955i
\(729\) −0.725995 + 0.687699i −0.0268887 + 0.0254704i
\(730\) 35.5060 + 21.3632i 1.31413 + 0.790689i
\(731\) 1.33914 + 0.619552i 0.0495299 + 0.0229150i
\(732\) −2.69165 + 6.75552i −0.0994861 + 0.249691i
\(733\) −13.3369 19.6705i −0.492610 0.726546i 0.497403 0.867520i \(-0.334287\pi\)
−0.990013 + 0.140974i \(0.954977\pi\)
\(734\) −8.60026 + 12.6844i −0.317441 + 0.468191i
\(735\) −10.2730 25.7833i −0.378925 0.951030i
\(736\) −0.578423 + 10.6684i −0.0213209 + 0.393242i
\(737\) −30.4495 + 35.8480i −1.12162 + 1.32048i
\(738\) −3.48948 + 4.10813i −0.128449 + 0.151222i
\(739\) −1.72257 + 31.7709i −0.0633656 + 1.16871i 0.778007 + 0.628255i \(0.216231\pi\)
−0.841373 + 0.540455i \(0.818252\pi\)
\(740\) 3.41145 + 8.56208i 0.125407 + 0.314748i
\(741\) −1.36982 + 2.02034i −0.0503217 + 0.0742189i
\(742\) −25.6535 37.8361i −0.941769 1.38901i
\(743\) −0.220544 + 0.553524i −0.00809098 + 0.0203068i −0.932967 0.359963i \(-0.882789\pi\)
0.924876 + 0.380269i \(0.124169\pi\)
\(744\) 7.57990 + 3.50684i 0.277893 + 0.128567i
\(745\) −48.6905 29.2961i −1.78388 1.07333i
\(746\) −23.2022 + 21.9783i −0.849493 + 0.804682i
\(747\) −12.7629 9.70210i −0.466970 0.354981i
\(748\) 0.0812411 + 1.49840i 0.00297047 + 0.0547871i
\(749\) 7.49233 3.46632i 0.273764 0.126657i
\(750\) −39.1716 4.26017i −1.43035 0.155559i
\(751\) −1.21584 0.409665i −0.0443667 0.0149489i 0.297031 0.954868i \(-0.404004\pi\)
−0.341397 + 0.939919i \(0.610900\pi\)
\(752\) −2.48191 15.1390i −0.0905059 0.552062i
\(753\) −4.84215 4.58673i −0.176458 0.167150i
\(754\) −0.201573 0.725999i −0.00734084 0.0264393i
\(755\) 23.2494 + 43.8530i 0.846133 + 1.59598i
\(756\) 2.93867 0.990152i 0.106878 0.0360115i
\(757\) 40.3658 8.88519i 1.46712 0.322938i 0.591645 0.806199i \(-0.298479\pi\)
0.875476 + 0.483261i \(0.160548\pi\)
\(758\) 13.6442 49.1419i 0.495579 1.78491i
\(759\) −11.8462 + 7.12761i −0.429989 + 0.258716i
\(760\) 3.77497 0.410552i 0.136932 0.0148923i
\(761\) 5.72612 + 1.26041i 0.207572 + 0.0456900i 0.317539 0.948245i \(-0.397144\pi\)
−0.109967 + 0.993935i \(0.535075\pi\)
\(762\) 3.57402 6.74132i 0.129473 0.244212i
\(763\) 8.19402 49.9813i 0.296643 1.80944i
\(764\) 5.06294 3.84874i 0.183171 0.139243i
\(765\) 0.814661 + 0.959093i 0.0294541 + 0.0346761i
\(766\) −37.1461 −1.34214
\(767\) 21.4110 + 32.2741i 0.773106 + 1.16535i
\(768\) −16.9612 −0.612034
\(769\) 1.97340 + 2.32327i 0.0711626 + 0.0837791i 0.796591 0.604518i \(-0.206634\pi\)
−0.725429 + 0.688297i \(0.758358\pi\)
\(770\) 114.194 86.8078i 4.11526 3.12834i
\(771\) −1.38393 + 8.44158i −0.0498409 + 0.304016i
\(772\) −7.43207 + 14.0184i −0.267486 + 0.504532i