Properties

Label 225.2.q.a.16.15
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.15
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.254613 - 0.113361i) q^{2} +(-0.427801 - 1.67839i) q^{3} +(-1.28628 + 1.42856i) q^{4} +(0.148962 + 2.23110i) q^{5} +(-0.299187 - 0.378844i) q^{6} +(-1.97470 + 3.42027i) q^{7} +(-0.337813 + 1.03968i) q^{8} +(-2.63397 + 1.43603i) q^{9} +O(q^{10})\) \(q+(0.254613 - 0.113361i) q^{2} +(-0.427801 - 1.67839i) q^{3} +(-1.28628 + 1.42856i) q^{4} +(0.148962 + 2.23110i) q^{5} +(-0.299187 - 0.378844i) q^{6} +(-1.97470 + 3.42027i) q^{7} +(-0.337813 + 1.03968i) q^{8} +(-2.63397 + 1.43603i) q^{9} +(0.290848 + 0.551181i) q^{10} +(1.53404 - 0.682997i) q^{11} +(2.94796 + 1.54774i) q^{12} +(0.961615 + 0.428138i) q^{13} +(-0.115058 + 1.09470i) q^{14} +(3.68093 - 1.20448i) q^{15} +(-0.370027 - 3.52057i) q^{16} +(-1.25351 + 3.85792i) q^{17} +(-0.507854 + 0.664222i) q^{18} +(1.85242 - 5.70117i) q^{19} +(-3.37888 - 2.65703i) q^{20} +(6.58532 + 1.85111i) q^{21} +(0.313161 - 0.347800i) q^{22} +(-0.564211 + 5.36811i) q^{23} +(1.88950 + 0.122205i) q^{24} +(-4.95562 + 0.664700i) q^{25} +0.293374 q^{26} +(3.53703 + 3.80649i) q^{27} +(-2.34606 - 7.22042i) q^{28} +(6.99712 + 1.48728i) q^{29} +(0.800671 - 0.723951i) q^{30} +(-4.81399 + 1.02325i) q^{31} +(-1.58649 - 2.74789i) q^{32} +(-1.80260 - 2.28252i) q^{33} +(0.118177 + 1.12438i) q^{34} +(-7.92513 - 3.89625i) q^{35} +(1.33658 - 5.60994i) q^{36} +(-3.92983 + 2.85519i) q^{37} +(-0.174640 - 1.66158i) q^{38} +(0.307203 - 1.79712i) q^{39} +(-2.36995 - 0.598821i) q^{40} +(-1.14861 - 0.511393i) q^{41} +(1.88655 - 0.275202i) q^{42} +(4.99451 - 8.65075i) q^{43} +(-0.997503 + 3.07000i) q^{44} +(-3.59629 - 5.66275i) q^{45} +(0.464879 + 1.43075i) q^{46} +(4.62748 + 0.983601i) q^{47} +(-5.75059 + 2.12715i) q^{48} +(-4.29885 - 7.44583i) q^{49} +(-1.18641 + 0.731016i) q^{50} +(7.01134 + 0.453463i) q^{51} +(-1.84853 + 0.823020i) q^{52} +(2.76942 + 8.52341i) q^{53} +(1.33208 + 0.568222i) q^{54} +(1.75235 + 3.32085i) q^{55} +(-2.88892 - 3.20847i) q^{56} +(-10.3612 - 0.670120i) q^{57} +(1.95016 - 0.414519i) q^{58} +(5.63502 + 2.50887i) q^{59} +(-3.01404 + 6.80774i) q^{60} +(-2.58041 + 1.14887i) q^{61} +(-1.10971 + 0.806250i) q^{62} +(0.289678 - 11.8446i) q^{63} +(5.01233 + 3.64167i) q^{64} +(-0.811976 + 2.20924i) q^{65} +(-0.717714 - 0.376816i) q^{66} +(11.9904 - 2.54863i) q^{67} +(-3.89891 - 6.75310i) q^{68} +(9.25114 - 1.34951i) q^{69} +(-2.45953 - 0.0936360i) q^{70} +(-2.15288 - 6.62590i) q^{71} +(-0.603224 - 3.22360i) q^{72} +(-4.42300 - 3.21350i) q^{73} +(-0.676918 + 1.17246i) q^{74} +(3.23564 + 8.03310i) q^{75} +(5.76174 + 9.97962i) q^{76} +(-0.693219 + 6.59554i) q^{77} +(-0.125506 - 0.492395i) q^{78} +(11.5363 + 2.45211i) q^{79} +(7.79963 - 1.35000i) q^{80} +(4.87563 - 7.56493i) q^{81} -0.350423 q^{82} +(-3.65812 - 4.06275i) q^{83} +(-11.1150 + 7.02650i) q^{84} +(-8.79413 - 2.22203i) q^{85} +(0.291010 - 2.76878i) q^{86} +(-0.497133 - 12.3801i) q^{87} +(0.191882 + 1.82563i) q^{88} +(12.2123 + 8.87274i) q^{89} +(-1.55760 - 1.03413i) q^{90} +(-3.36325 + 2.44354i) q^{91} +(-6.94294 - 7.71092i) q^{92} +(3.77683 + 7.64200i) q^{93} +(1.28972 - 0.274138i) q^{94} +(12.9958 + 3.28368i) q^{95} +(-3.93332 + 3.83830i) q^{96} +(-3.26984 - 0.695025i) q^{97} +(-1.93861 - 1.40848i) q^{98} +(-3.05981 + 4.00192i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.254613 0.113361i 0.180039 0.0801584i −0.314738 0.949179i \(-0.601917\pi\)
0.494776 + 0.869020i \(0.335250\pi\)
\(3\) −0.427801 1.67839i −0.246991 0.969018i
\(4\) −1.28628 + 1.42856i −0.643142 + 0.714282i
\(5\) 0.148962 + 2.23110i 0.0666180 + 0.997779i
\(6\) −0.299187 0.378844i −0.122143 0.154662i
\(7\) −1.97470 + 3.42027i −0.746365 + 1.29274i 0.203189 + 0.979140i \(0.434869\pi\)
−0.949554 + 0.313603i \(0.898464\pi\)
\(8\) −0.337813 + 1.03968i −0.119435 + 0.367583i
\(9\) −2.63397 + 1.43603i −0.877991 + 0.478677i
\(10\) 0.290848 + 0.551181i 0.0919741 + 0.174299i
\(11\) 1.53404 0.682997i 0.462530 0.205931i −0.162223 0.986754i \(-0.551866\pi\)
0.624753 + 0.780823i \(0.285200\pi\)
\(12\) 2.94796 + 1.54774i 0.851002 + 0.446795i
\(13\) 0.961615 + 0.428138i 0.266704 + 0.118744i 0.535732 0.844388i \(-0.320036\pi\)
−0.269028 + 0.963132i \(0.586702\pi\)
\(14\) −0.115058 + 1.09470i −0.0307504 + 0.292571i
\(15\) 3.68093 1.20448i 0.950411 0.310996i
\(16\) −0.370027 3.52057i −0.0925067 0.880143i
\(17\) −1.25351 + 3.85792i −0.304022 + 0.935683i 0.676019 + 0.736884i \(0.263704\pi\)
−0.980040 + 0.198798i \(0.936296\pi\)
\(18\) −0.507854 + 0.664222i −0.119702 + 0.156559i
\(19\) 1.85242 5.70117i 0.424975 1.30794i −0.478044 0.878336i \(-0.658654\pi\)
0.903019 0.429602i \(-0.141346\pi\)
\(20\) −3.37888 2.65703i −0.755540 0.594129i
\(21\) 6.58532 + 1.85111i 1.43704 + 0.403946i
\(22\) 0.313161 0.347800i 0.0667661 0.0741512i
\(23\) −0.564211 + 5.36811i −0.117646 + 1.11933i 0.763278 + 0.646070i \(0.223589\pi\)
−0.880924 + 0.473257i \(0.843078\pi\)
\(24\) 1.88950 + 0.122205i 0.385693 + 0.0249450i
\(25\) −4.95562 + 0.664700i −0.991124 + 0.132940i
\(26\) 0.293374 0.0575354
\(27\) 3.53703 + 3.80649i 0.680702 + 0.732560i
\(28\) −2.34606 7.22042i −0.443363 1.36453i
\(29\) 6.99712 + 1.48728i 1.29933 + 0.276182i 0.805096 0.593145i \(-0.202114\pi\)
0.494238 + 0.869327i \(0.335447\pi\)
\(30\) 0.800671 0.723951i 0.146182 0.132175i
\(31\) −4.81399 + 1.02325i −0.864618 + 0.183780i −0.618812 0.785539i \(-0.712386\pi\)
−0.245806 + 0.969319i \(0.579053\pi\)
\(32\) −1.58649 2.74789i −0.280455 0.485763i
\(33\) −1.80260 2.28252i −0.313792 0.397336i
\(34\) 0.118177 + 1.12438i 0.0202671 + 0.192829i
\(35\) −7.92513 3.89625i −1.33959 0.658587i
\(36\) 1.33658 5.60994i 0.222763 0.934990i
\(37\) −3.92983 + 2.85519i −0.646059 + 0.469390i −0.861927 0.507033i \(-0.830742\pi\)
0.215867 + 0.976423i \(0.430742\pi\)
\(38\) −0.174640 1.66158i −0.0283303 0.269545i
\(39\) 0.307203 1.79712i 0.0491919 0.287770i
\(40\) −2.36995 0.598821i −0.374723 0.0946819i
\(41\) −1.14861 0.511393i −0.179382 0.0798662i 0.315080 0.949065i \(-0.397969\pi\)
−0.494463 + 0.869199i \(0.664635\pi\)
\(42\) 1.88655 0.275202i 0.291102 0.0424646i
\(43\) 4.99451 8.65075i 0.761656 1.31923i −0.180341 0.983604i \(-0.557720\pi\)
0.941997 0.335623i \(-0.108947\pi\)
\(44\) −0.997503 + 3.07000i −0.150379 + 0.462820i
\(45\) −3.59629 5.66275i −0.536104 0.844152i
\(46\) 0.464879 + 1.43075i 0.0685426 + 0.210952i
\(47\) 4.62748 + 0.983601i 0.674987 + 0.143473i 0.532638 0.846343i \(-0.321201\pi\)
0.142350 + 0.989816i \(0.454534\pi\)
\(48\) −5.75059 + 2.12715i −0.830026 + 0.307028i
\(49\) −4.29885 7.44583i −0.614122 1.06369i
\(50\) −1.18641 + 0.731016i −0.167784 + 0.103381i
\(51\) 7.01134 + 0.453463i 0.981784 + 0.0634975i
\(52\) −1.84853 + 0.823020i −0.256345 + 0.114132i
\(53\) 2.76942 + 8.52341i 0.380410 + 1.17078i 0.939756 + 0.341846i \(0.111052\pi\)
−0.559346 + 0.828934i \(0.688948\pi\)
\(54\) 1.33208 + 0.568222i 0.181274 + 0.0773252i
\(55\) 1.75235 + 3.32085i 0.236287 + 0.447783i
\(56\) −2.88892 3.20847i −0.386048 0.428749i
\(57\) −10.3612 0.670120i −1.37238 0.0887595i
\(58\) 1.95016 0.414519i 0.256068 0.0544290i
\(59\) 5.63502 + 2.50887i 0.733618 + 0.326628i 0.739318 0.673356i \(-0.235148\pi\)
−0.00570072 + 0.999984i \(0.501815\pi\)
\(60\) −3.01404 + 6.80774i −0.389111 + 0.878876i
\(61\) −2.58041 + 1.14887i −0.330388 + 0.147098i −0.565225 0.824937i \(-0.691211\pi\)
0.234838 + 0.972035i \(0.424544\pi\)
\(62\) −1.10971 + 0.806250i −0.140933 + 0.102394i
\(63\) 0.289678 11.8446i 0.0364960 1.49228i
\(64\) 5.01233 + 3.64167i 0.626542 + 0.455209i
\(65\) −0.811976 + 2.20924i −0.100713 + 0.274022i
\(66\) −0.717714 0.376816i −0.0883445 0.0463828i
\(67\) 11.9904 2.54863i 1.46486 0.311365i 0.594623 0.804005i \(-0.297301\pi\)
0.870233 + 0.492640i \(0.163968\pi\)
\(68\) −3.89891 6.75310i −0.472812 0.818934i
\(69\) 9.25114 1.34951i 1.11371 0.162462i
\(70\) −2.45953 0.0936360i −0.293970 0.0111916i
\(71\) −2.15288 6.62590i −0.255500 0.786349i −0.993731 0.111801i \(-0.964338\pi\)
0.738230 0.674549i \(-0.235662\pi\)
\(72\) −0.603224 3.22360i −0.0710906 0.379905i
\(73\) −4.42300 3.21350i −0.517673 0.376112i 0.298053 0.954549i \(-0.403663\pi\)
−0.815727 + 0.578437i \(0.803663\pi\)
\(74\) −0.676918 + 1.17246i −0.0786901 + 0.136295i
\(75\) 3.23564 + 8.03310i 0.373620 + 0.927582i
\(76\) 5.76174 + 9.97962i 0.660917 + 1.14474i
\(77\) −0.693219 + 6.59554i −0.0789997 + 0.751632i
\(78\) −0.125506 0.492395i −0.0142107 0.0557528i
\(79\) 11.5363 + 2.45211i 1.29793 + 0.275884i 0.804526 0.593917i \(-0.202419\pi\)
0.493404 + 0.869800i \(0.335753\pi\)
\(80\) 7.79963 1.35000i 0.872025 0.150935i
\(81\) 4.87563 7.56493i 0.541737 0.840548i
\(82\) −0.350423 −0.0386977
\(83\) −3.65812 4.06275i −0.401531 0.445945i 0.508140 0.861274i \(-0.330333\pi\)
−0.909671 + 0.415329i \(0.863666\pi\)
\(84\) −11.1150 + 7.02650i −1.21275 + 0.766654i
\(85\) −8.79413 2.22203i −0.953857 0.241013i
\(86\) 0.291010 2.76878i 0.0313804 0.298565i
\(87\) −0.497133 12.3801i −0.0532982 1.32729i
\(88\) 0.191882 + 1.82563i 0.0204547 + 0.194613i
\(89\) 12.2123 + 8.87274i 1.29450 + 0.940508i 0.999886 0.0151087i \(-0.00480943\pi\)
0.294612 + 0.955617i \(0.404809\pi\)
\(90\) −1.55760 1.03413i −0.164185 0.109007i
\(91\) −3.36325 + 2.44354i −0.352564 + 0.256153i
\(92\) −6.94294 7.71092i −0.723852 0.803919i
\(93\) 3.77683 + 7.64200i 0.391639 + 0.792438i
\(94\) 1.28972 0.274138i 0.133024 0.0282752i
\(95\) 12.9958 + 3.28368i 1.33334 + 0.336898i
\(96\) −3.93332 + 3.83830i −0.401443 + 0.391745i
\(97\) −3.26984 0.695025i −0.332002 0.0705691i 0.0388949 0.999243i \(-0.487616\pi\)
−0.370897 + 0.928674i \(0.620950\pi\)
\(98\) −1.93861 1.40848i −0.195829 0.142278i
\(99\) −3.05981 + 4.00192i −0.307522 + 0.402208i
\(100\) 5.42477 7.93441i 0.542477 0.793441i
\(101\) 3.60857 6.25022i 0.359066 0.621920i −0.628739 0.777616i \(-0.716429\pi\)
0.987805 + 0.155696i \(0.0497620\pi\)
\(102\) 1.83658 0.679355i 0.181849 0.0672662i
\(103\) −3.13282 + 3.47934i −0.308685 + 0.342830i −0.877448 0.479672i \(-0.840756\pi\)
0.568762 + 0.822502i \(0.307422\pi\)
\(104\) −0.769973 + 0.855142i −0.0755021 + 0.0838535i
\(105\) −3.14905 + 14.9683i −0.307316 + 1.46075i
\(106\) 1.67135 + 1.85623i 0.162336 + 0.180293i
\(107\) −19.3140 −1.86715 −0.933577 0.358378i \(-0.883330\pi\)
−0.933577 + 0.358378i \(0.883330\pi\)
\(108\) −9.98745 + 0.156640i −0.961043 + 0.0150727i
\(109\) −8.78758 + 6.38455i −0.841698 + 0.611529i −0.922844 0.385173i \(-0.874142\pi\)
0.0811466 + 0.996702i \(0.474142\pi\)
\(110\) 0.822626 + 0.646884i 0.0784343 + 0.0616779i
\(111\) 6.47329 + 5.37432i 0.614418 + 0.510108i
\(112\) 12.7720 + 5.68646i 1.20684 + 0.537320i
\(113\) 6.21807 + 2.76846i 0.584947 + 0.260435i 0.677802 0.735245i \(-0.262933\pi\)
−0.0928552 + 0.995680i \(0.529599\pi\)
\(114\) −2.71407 + 1.00394i −0.254196 + 0.0940275i
\(115\) −12.0608 0.459165i −1.12468 0.0428173i
\(116\) −11.1250 + 8.08276i −1.03293 + 0.750466i
\(117\) −3.14769 + 0.253203i −0.291004 + 0.0234086i
\(118\) 1.71916 0.158261
\(119\) −10.7198 11.9056i −0.982685 1.09138i
\(120\) 0.00881367 + 4.23388i 0.000804574 + 0.386498i
\(121\) −5.47365 + 6.07911i −0.497605 + 0.552646i
\(122\) −0.526769 + 0.585036i −0.0476914 + 0.0529667i
\(123\) −0.366941 + 2.14658i −0.0330860 + 0.193551i
\(124\) 4.73039 8.19327i 0.424801 0.735778i
\(125\) −2.22121 10.9575i −0.198671 0.980066i
\(126\) −1.26896 3.04864i −0.113048 0.271594i
\(127\) 10.7288 + 7.79490i 0.952024 + 0.691686i 0.951285 0.308314i \(-0.0997647\pi\)
0.000739229 1.00000i \(0.499765\pi\)
\(128\) 7.89633 + 1.67842i 0.697944 + 0.148353i
\(129\) −16.6560 4.68193i −1.46648 0.412221i
\(130\) 0.0437017 + 0.654547i 0.00383289 + 0.0574075i
\(131\) 13.9228 2.95937i 1.21644 0.258562i 0.445388 0.895338i \(-0.353066\pi\)
0.771049 + 0.636776i \(0.219732\pi\)
\(132\) 5.57938 + 0.360850i 0.485623 + 0.0314080i
\(133\) 15.8416 + 17.5939i 1.37364 + 1.52558i
\(134\) 2.76399 2.00815i 0.238772 0.173478i
\(135\) −7.96579 + 8.45850i −0.685586 + 0.727992i
\(136\) −3.58755 2.60651i −0.307630 0.223506i
\(137\) 1.01433 + 9.65072i 0.0866602 + 0.824516i 0.948381 + 0.317134i \(0.102720\pi\)
−0.861721 + 0.507383i \(0.830613\pi\)
\(138\) 2.20248 1.39232i 0.187487 0.118522i
\(139\) 0.170258 1.61990i 0.0144411 0.137398i −0.984926 0.172978i \(-0.944661\pi\)
0.999367 + 0.0355797i \(0.0113278\pi\)
\(140\) 15.7600 6.30986i 1.33196 0.533281i
\(141\) −0.328774 8.18749i −0.0276878 0.689511i
\(142\) −1.29927 1.44299i −0.109032 0.121093i
\(143\) 1.76757 0.147812
\(144\) 6.03029 + 8.74172i 0.502524 + 0.728477i
\(145\) −2.27597 + 15.8328i −0.189009 + 1.31485i
\(146\) −1.49044 0.316803i −0.123350 0.0262188i
\(147\) −10.6579 + 10.4005i −0.879052 + 0.857817i
\(148\) 0.976060 9.28659i 0.0802316 0.763353i
\(149\) 5.52553 + 9.57050i 0.452669 + 0.784046i 0.998551 0.0538166i \(-0.0171386\pi\)
−0.545882 + 0.837862i \(0.683805\pi\)
\(150\) 1.73448 + 1.67854i 0.141619 + 0.137052i
\(151\) −2.90413 + 5.03011i −0.236335 + 0.409344i −0.959660 0.281164i \(-0.909280\pi\)
0.723325 + 0.690508i \(0.242613\pi\)
\(152\) 5.30162 + 3.85185i 0.430018 + 0.312427i
\(153\) −2.23837 11.9617i −0.180961 0.967049i
\(154\) 0.571175 + 1.75790i 0.0460266 + 0.141655i
\(155\) −3.00007 10.5881i −0.240971 0.850454i
\(156\) 2.17215 + 2.75047i 0.173911 + 0.220214i
\(157\) −1.84071 3.18821i −0.146905 0.254447i 0.783177 0.621799i \(-0.213598\pi\)
−0.930082 + 0.367352i \(0.880264\pi\)
\(158\) 3.21525 0.683423i 0.255792 0.0543703i
\(159\) 13.1208 8.29449i 1.04055 0.657796i
\(160\) 5.89449 3.94896i 0.466000 0.312193i
\(161\) −17.2463 12.5301i −1.35920 0.987513i
\(162\) 0.383831 2.47884i 0.0301566 0.194756i
\(163\) −0.304317 + 0.221099i −0.0238360 + 0.0173178i −0.599639 0.800270i \(-0.704689\pi\)
0.575803 + 0.817588i \(0.304689\pi\)
\(164\) 2.20799 0.983062i 0.172415 0.0767642i
\(165\) 4.82402 4.36179i 0.375549 0.339565i
\(166\) −1.39196 0.619742i −0.108037 0.0481013i
\(167\) 8.56276 1.82007i 0.662606 0.140841i 0.135681 0.990753i \(-0.456678\pi\)
0.526926 + 0.849911i \(0.323345\pi\)
\(168\) −4.14917 + 6.22131i −0.320116 + 0.479984i
\(169\) −7.95730 8.83747i −0.612100 0.679806i
\(170\) −2.49099 + 0.431154i −0.191050 + 0.0330680i
\(171\) 3.30782 + 17.6769i 0.252956 + 1.35178i
\(172\) 5.93378 + 18.2623i 0.452447 + 1.39249i
\(173\) −1.96220 + 0.873627i −0.149183 + 0.0664206i −0.479970 0.877285i \(-0.659353\pi\)
0.330787 + 0.943705i \(0.392686\pi\)
\(174\) −1.53000 3.09579i −0.115989 0.234691i
\(175\) 7.51239 18.2622i 0.567883 1.38049i
\(176\) −2.97218 5.14796i −0.224036 0.388042i
\(177\) 1.80020 10.5311i 0.135311 0.791562i
\(178\) 4.11523 + 0.874718i 0.308449 + 0.0655629i
\(179\) −6.01883 18.5241i −0.449869 1.38455i −0.877055 0.480390i \(-0.840495\pi\)
0.427187 0.904164i \(-0.359505\pi\)
\(180\) 12.7154 + 2.14637i 0.947753 + 0.159981i
\(181\) 4.60344 14.1679i 0.342171 1.05309i −0.620910 0.783882i \(-0.713237\pi\)
0.963081 0.269212i \(-0.0867632\pi\)
\(182\) −0.579324 + 1.00342i −0.0429424 + 0.0743784i
\(183\) 3.03216 + 3.83944i 0.224143 + 0.283820i
\(184\) −5.39052 2.40001i −0.397394 0.176931i
\(185\) −6.95560 8.34252i −0.511386 0.613354i
\(186\) 1.82794 + 1.51761i 0.134031 + 0.111276i
\(187\) 0.712012 + 6.77434i 0.0520674 + 0.495389i
\(188\) −7.35739 + 5.34546i −0.536593 + 0.389858i
\(189\) −20.0038 + 4.58095i −1.45506 + 0.333215i
\(190\) 3.68115 0.637152i 0.267058 0.0462239i
\(191\) 0.852384 + 8.10990i 0.0616764 + 0.586811i 0.981094 + 0.193530i \(0.0619936\pi\)
−0.919418 + 0.393282i \(0.871340\pi\)
\(192\) 3.96786 9.97055i 0.286356 0.719563i
\(193\) 2.38184 + 4.12547i 0.171449 + 0.296958i 0.938927 0.344117i \(-0.111822\pi\)
−0.767478 + 0.641076i \(0.778488\pi\)
\(194\) −0.911332 + 0.193710i −0.0654298 + 0.0139075i
\(195\) 4.05532 + 0.417698i 0.290407 + 0.0299120i
\(196\) 16.1664 + 3.43627i 1.15474 + 0.245448i
\(197\) −1.66876 5.13592i −0.118894 0.365919i 0.873845 0.486205i \(-0.161619\pi\)
−0.992739 + 0.120286i \(0.961619\pi\)
\(198\) −0.325405 + 1.36580i −0.0231255 + 0.0970635i
\(199\) −21.6479 −1.53458 −0.767291 0.641299i \(-0.778396\pi\)
−0.767291 + 0.641299i \(0.778396\pi\)
\(200\) 0.982996 5.37681i 0.0695083 0.380198i
\(201\) −9.40707 19.0342i −0.663524 1.34257i
\(202\) 0.210257 2.00046i 0.0147936 0.140752i
\(203\) −18.9041 + 20.9951i −1.32681 + 1.47357i
\(204\) −9.66637 + 9.43286i −0.676781 + 0.660432i
\(205\) 0.969870 2.63884i 0.0677387 0.184304i
\(206\) −0.403234 + 1.24103i −0.0280946 + 0.0864663i
\(207\) −6.22265 14.9497i −0.432504 1.03907i
\(208\) 1.15147 3.54386i 0.0798400 0.245722i
\(209\) −1.05220 10.0110i −0.0727821 0.692476i
\(210\) 0.895029 + 4.16810i 0.0617629 + 0.287626i
\(211\) −1.60139 + 15.2362i −0.110244 + 1.04891i 0.789877 + 0.613266i \(0.210145\pi\)
−0.900121 + 0.435640i \(0.856522\pi\)
\(212\) −15.7385 7.00723i −1.08092 0.481259i
\(213\) −10.1998 + 6.44794i −0.698880 + 0.441805i
\(214\) −4.91759 + 2.18945i −0.336160 + 0.149668i
\(215\) 20.0447 + 9.85462i 1.36704 + 0.672080i
\(216\) −5.15239 + 2.39150i −0.350576 + 0.162721i
\(217\) 6.00639 18.4858i 0.407740 1.25490i
\(218\) −1.51367 + 2.62176i −0.102519 + 0.177568i
\(219\) −3.50134 + 8.79825i −0.236598 + 0.594531i
\(220\) −6.99807 1.76822i −0.471809 0.119213i
\(221\) −2.85712 + 3.17315i −0.192191 + 0.213449i
\(222\) 2.25742 + 0.634554i 0.151508 + 0.0425885i
\(223\) 18.7205 8.33491i 1.25362 0.558147i 0.330916 0.943660i \(-0.392642\pi\)
0.922702 + 0.385513i \(0.125976\pi\)
\(224\) 12.5314 0.837288
\(225\) 12.0984 8.86723i 0.806563 0.591148i
\(226\) 1.89704 0.126189
\(227\) −2.16300 + 0.963030i −0.143563 + 0.0639186i −0.477261 0.878762i \(-0.658370\pi\)
0.333697 + 0.942680i \(0.391704\pi\)
\(228\) 14.2848 13.9397i 0.946034 0.923180i
\(229\) 2.18473 2.42639i 0.144371 0.160341i −0.666622 0.745396i \(-0.732261\pi\)
0.810993 + 0.585055i \(0.198927\pi\)
\(230\) −3.12290 + 1.25032i −0.205918 + 0.0824436i
\(231\) 11.3664 1.65809i 0.747857 0.109094i
\(232\) −3.91002 + 6.77235i −0.256705 + 0.444627i
\(233\) 0.388396 1.19536i 0.0254446 0.0783106i −0.937528 0.347910i \(-0.886891\pi\)
0.962972 + 0.269600i \(0.0868914\pi\)
\(234\) −0.772739 + 0.421294i −0.0505155 + 0.0275408i
\(235\) −1.50519 + 10.4709i −0.0981880 + 0.683046i
\(236\) −10.8323 + 4.82286i −0.705124 + 0.313942i
\(237\) −0.819630 20.4113i −0.0532407 1.32586i
\(238\) −4.07904 1.81610i −0.264405 0.117721i
\(239\) 1.36041 12.9434i 0.0879974 0.837240i −0.858127 0.513437i \(-0.828372\pi\)
0.946125 0.323802i \(-0.104961\pi\)
\(240\) −5.60251 12.5133i −0.361640 0.807728i
\(241\) −0.129158 1.22886i −0.00831982 0.0791578i 0.989574 0.144025i \(-0.0460044\pi\)
−0.997894 + 0.0648668i \(0.979338\pi\)
\(242\) −0.704529 + 2.16832i −0.0452889 + 0.139385i
\(243\) −14.7827 4.94692i −0.948310 0.317345i
\(244\) 1.67790 5.16406i 0.107417 0.330595i
\(245\) 15.9720 10.7003i 1.02042 0.683618i
\(246\) 0.149911 + 0.588145i 0.00955797 + 0.0374988i
\(247\) 4.22220 4.68923i 0.268652 0.298369i
\(248\) 0.562379 5.35068i 0.0357111 0.339768i
\(249\) −5.25393 + 7.87780i −0.332954 + 0.499235i
\(250\) −1.80770 2.53812i −0.114329 0.160525i
\(251\) 16.1915 1.02200 0.511000 0.859581i \(-0.329275\pi\)
0.511000 + 0.859581i \(0.329275\pi\)
\(252\) 16.5482 + 15.6494i 1.04244 + 0.985819i
\(253\) 2.80088 + 8.62023i 0.176090 + 0.541949i
\(254\) 3.61532 + 0.768460i 0.226845 + 0.0482175i
\(255\) 0.0327047 + 15.7105i 0.00204805 + 0.983833i
\(256\) −9.91962 + 2.10848i −0.619976 + 0.131780i
\(257\) −12.5307 21.7037i −0.781641 1.35384i −0.930986 0.365056i \(-0.881050\pi\)
0.149345 0.988785i \(-0.452284\pi\)
\(258\) −4.77158 + 0.696056i −0.297065 + 0.0433346i
\(259\) −2.00531 19.0792i −0.124604 1.18552i
\(260\) −2.11160 4.00166i −0.130956 0.248173i
\(261\) −20.5660 + 6.13062i −1.27300 + 0.379476i
\(262\) 3.20944 2.33179i 0.198280 0.144059i
\(263\) 2.02669 + 19.2826i 0.124971 + 1.18902i 0.859751 + 0.510713i \(0.170618\pi\)
−0.734781 + 0.678305i \(0.762715\pi\)
\(264\) 2.98204 1.10306i 0.183532 0.0678886i
\(265\) −18.6041 + 7.44853i −1.14284 + 0.457560i
\(266\) 6.02793 + 2.68381i 0.369596 + 0.164555i
\(267\) 9.66748 24.2927i 0.591640 1.48669i
\(268\) −11.7821 + 20.4073i −0.719708 + 1.24657i
\(269\) −1.15306 + 3.54876i −0.0703034 + 0.216372i −0.980035 0.198825i \(-0.936287\pi\)
0.909732 + 0.415197i \(0.136287\pi\)
\(270\) −1.06933 + 3.05665i −0.0650773 + 0.186022i
\(271\) −6.82902 21.0175i −0.414833 1.27673i −0.912400 0.409300i \(-0.865773\pi\)
0.497567 0.867426i \(-0.334227\pi\)
\(272\) 14.0459 + 2.98555i 0.851658 + 0.181026i
\(273\) 5.54001 + 4.59949i 0.335297 + 0.278374i
\(274\) 1.35228 + 2.34221i 0.0816941 + 0.141498i
\(275\) −7.14812 + 4.40435i −0.431048 + 0.265592i
\(276\) −9.97172 + 14.9517i −0.600227 + 0.899986i
\(277\) −10.9247 + 4.86399i −0.656401 + 0.292249i −0.707782 0.706431i \(-0.750304\pi\)
0.0513814 + 0.998679i \(0.483638\pi\)
\(278\) −0.140284 0.431748i −0.00841365 0.0258945i
\(279\) 11.2105 9.60824i 0.671156 0.575230i
\(280\) 6.72807 6.92340i 0.402079 0.413752i
\(281\) 18.2979 + 20.3219i 1.09156 + 1.21230i 0.975717 + 0.219034i \(0.0702904\pi\)
0.115843 + 0.993267i \(0.463043\pi\)
\(282\) −1.01185 2.04737i −0.0602550 0.121919i
\(283\) 3.04324 0.646861i 0.180902 0.0384519i −0.116570 0.993182i \(-0.537190\pi\)
0.297472 + 0.954731i \(0.403857\pi\)
\(284\) 12.2347 + 5.44725i 0.725998 + 0.323235i
\(285\) −0.0483304 23.2168i −0.00286285 1.37524i
\(286\) 0.450047 0.200374i 0.0266118 0.0118483i
\(287\) 4.01726 2.91871i 0.237131 0.172286i
\(288\) 8.12484 + 4.95961i 0.478761 + 0.292248i
\(289\) 0.441053 + 0.320444i 0.0259443 + 0.0188496i
\(290\) 1.21533 + 4.28925i 0.0713669 + 0.251874i
\(291\) 0.232316 + 5.78539i 0.0136186 + 0.339145i
\(292\) 10.2799 2.18507i 0.601587 0.127871i
\(293\) 1.08652 + 1.88191i 0.0634752 + 0.109942i 0.896017 0.444021i \(-0.146448\pi\)
−0.832541 + 0.553963i \(0.813115\pi\)
\(294\) −1.53464 + 3.85629i −0.0895022 + 0.224903i
\(295\) −4.75814 + 12.9460i −0.277030 + 0.753747i
\(296\) −1.64094 5.05028i −0.0953775 0.293542i
\(297\) 8.02577 + 3.42352i 0.465702 + 0.198653i
\(298\) 2.49179 + 1.81039i 0.144346 + 0.104873i
\(299\) −2.84085 + 4.92049i −0.164290 + 0.284559i
\(300\) −15.6377 5.71052i −0.902845 0.329697i
\(301\) 19.7253 + 34.1652i 1.13695 + 1.96925i
\(302\) −0.169212 + 1.60995i −0.00973707 + 0.0926420i
\(303\) −12.0340 3.38273i −0.691338 0.194333i
\(304\) −20.7568 4.41200i −1.19048 0.253045i
\(305\) −2.94763 5.58602i −0.168781 0.319854i
\(306\) −1.92591 2.79187i −0.110097 0.159601i
\(307\) 6.16436 0.351818 0.175909 0.984406i \(-0.443713\pi\)
0.175909 + 0.984406i \(0.443713\pi\)
\(308\) −8.53047 9.47405i −0.486069 0.539834i
\(309\) 7.17991 + 3.76961i 0.408451 + 0.214446i
\(310\) −1.96413 2.35577i −0.111555 0.133799i
\(311\) 0.412568 3.92532i 0.0233946 0.222584i −0.976578 0.215164i \(-0.930971\pi\)
0.999972 0.00742028i \(-0.00236197\pi\)
\(312\) 1.76465 + 0.926484i 0.0999039 + 0.0524518i
\(313\) −0.256506 2.44049i −0.0144986 0.137945i 0.984878 0.173249i \(-0.0554266\pi\)
−0.999377 + 0.0353045i \(0.988760\pi\)
\(314\) −0.830088 0.603094i −0.0468446 0.0340346i
\(315\) 26.4697 1.11810i 1.49140 0.0629980i
\(316\) −18.3419 + 13.3262i −1.03181 + 0.749655i
\(317\) −6.30981 7.00775i −0.354394 0.393594i 0.539417 0.842039i \(-0.318645\pi\)
−0.893811 + 0.448445i \(0.851978\pi\)
\(318\) 2.40046 3.59928i 0.134611 0.201837i
\(319\) 11.7497 2.49747i 0.657855 0.139831i
\(320\) −7.37829 + 11.7255i −0.412459 + 0.655475i
\(321\) 8.26253 + 32.4164i 0.461170 + 1.80930i
\(322\) −5.81155 1.23528i −0.323865 0.0688396i
\(323\) 19.6726 + 14.2930i 1.09461 + 0.795283i
\(324\) 4.53554 + 16.6958i 0.251974 + 0.927545i
\(325\) −5.04998 1.48251i −0.280123 0.0822346i
\(326\) −0.0524191 + 0.0907925i −0.00290323 + 0.00502853i
\(327\) 14.4751 + 12.0177i 0.800474 + 0.664578i
\(328\) 0.919700 1.02143i 0.0507819 0.0563990i
\(329\) −12.5021 + 13.8849i −0.689261 + 0.765501i
\(330\) 0.733802 1.65742i 0.0403945 0.0912382i
\(331\) −13.8019 15.3285i −0.758619 0.842531i 0.232899 0.972501i \(-0.425179\pi\)
−0.991518 + 0.129970i \(0.958512\pi\)
\(332\) 10.5093 0.576772
\(333\) 6.25092 13.1638i 0.342548 0.721374i
\(334\) 1.97387 1.43410i 0.108005 0.0784703i
\(335\) 7.47236 + 26.3721i 0.408259 + 1.44086i
\(336\) 4.08022 23.8691i 0.222594 1.30216i
\(337\) −24.7265 11.0089i −1.34694 0.599695i −0.398649 0.917104i \(-0.630521\pi\)
−0.948289 + 0.317409i \(0.897187\pi\)
\(338\) −3.02786 1.34809i −0.164694 0.0733264i
\(339\) 1.98646 11.6207i 0.107890 0.631149i
\(340\) 14.4861 9.70481i 0.785617 0.526317i
\(341\) −6.68597 + 4.85764i −0.362065 + 0.263056i
\(342\) 2.84608 + 4.12578i 0.153898 + 0.223097i
\(343\) 6.30996 0.340706
\(344\) 7.30681 + 8.11503i 0.393957 + 0.437533i
\(345\) 4.38897 + 20.4392i 0.236294 + 1.10041i
\(346\) −0.400566 + 0.444874i −0.0215346 + 0.0239166i
\(347\) −22.5406 + 25.0339i −1.21004 + 1.34389i −0.287603 + 0.957750i \(0.592858\pi\)
−0.922441 + 0.386139i \(0.873808\pi\)
\(348\) 18.3253 + 15.2142i 0.982338 + 0.815567i
\(349\) 2.68244 4.64613i 0.143588 0.248702i −0.785257 0.619170i \(-0.787469\pi\)
0.928845 + 0.370468i \(0.120803\pi\)
\(350\) −0.157466 5.50140i −0.00841689 0.294062i
\(351\) 1.77156 + 5.17472i 0.0945586 + 0.276206i
\(352\) −4.31054 3.13179i −0.229753 0.166925i
\(353\) 22.9425 + 4.87657i 1.22110 + 0.259554i 0.772988 0.634421i \(-0.218761\pi\)
0.448117 + 0.893975i \(0.352095\pi\)
\(354\) −0.735457 2.88542i −0.0390891 0.153358i
\(355\) 14.4623 5.79031i 0.767582 0.307318i
\(356\) −28.3837 + 6.03315i −1.50433 + 0.319756i
\(357\) −15.3962 + 23.0852i −0.814855 + 1.22180i
\(358\) −3.63238 4.03417i −0.191977 0.213212i
\(359\) −12.6673 + 9.20330i −0.668552 + 0.485732i −0.869540 0.493862i \(-0.835585\pi\)
0.200988 + 0.979594i \(0.435585\pi\)
\(360\) 7.10232 1.82605i 0.374325 0.0962412i
\(361\) −13.7005 9.95401i −0.721080 0.523895i
\(362\) −0.433995 4.12919i −0.0228103 0.217025i
\(363\) 12.5447 + 6.58627i 0.658428 + 0.345689i
\(364\) 0.835337 7.94770i 0.0437836 0.416573i
\(365\) 6.51078 10.3469i 0.340790 0.541579i
\(366\) 1.20727 + 0.633844i 0.0631050 + 0.0331315i
\(367\) −12.2743 13.6320i −0.640713 0.711584i 0.332082 0.943251i \(-0.392249\pi\)
−0.972795 + 0.231666i \(0.925582\pi\)
\(368\) 19.1076 0.996051
\(369\) 3.75978 0.302440i 0.195726 0.0157444i
\(370\) −2.71670 1.33562i −0.141235 0.0694356i
\(371\) −34.6212 7.35896i −1.79744 0.382058i
\(372\) −15.7752 4.43434i −0.817904 0.229910i
\(373\) 1.53017 14.5586i 0.0792291 0.753815i −0.880719 0.473638i \(-0.842940\pi\)
0.959949 0.280176i \(-0.0903930\pi\)
\(374\) 0.949233 + 1.64412i 0.0490837 + 0.0850154i
\(375\) −17.4407 + 8.41567i −0.900632 + 0.434583i
\(376\) −2.58585 + 4.47883i −0.133355 + 0.230978i
\(377\) 6.09177 + 4.42593i 0.313742 + 0.227947i
\(378\) −4.57393 + 3.43402i −0.235258 + 0.176627i
\(379\) 1.91579 + 5.89620i 0.0984077 + 0.302868i 0.988127 0.153641i \(-0.0490998\pi\)
−0.889719 + 0.456508i \(0.849100\pi\)
\(380\) −21.4073 + 14.3416i −1.09817 + 0.735709i
\(381\) 8.49310 21.3417i 0.435115 1.09337i
\(382\) 1.13637 + 1.96826i 0.0581420 + 0.100705i
\(383\) −11.7942 + 2.50693i −0.602654 + 0.128098i −0.499127 0.866529i \(-0.666346\pi\)
−0.103527 + 0.994627i \(0.533013\pi\)
\(384\) −0.561020 13.9711i −0.0286294 0.712962i
\(385\) −14.8186 0.564154i −0.755225 0.0287520i
\(386\) 1.07412 + 0.780391i 0.0546711 + 0.0397209i
\(387\) −0.732670 + 29.9581i −0.0372437 + 1.52286i
\(388\) 5.19883 3.77717i 0.263930 0.191757i
\(389\) −27.9727 + 12.4542i −1.41827 + 0.631455i −0.965555 0.260200i \(-0.916211\pi\)
−0.452716 + 0.891655i \(0.649545\pi\)
\(390\) 1.07989 0.353364i 0.0546822 0.0178933i
\(391\) −20.0025 8.90567i −1.01157 0.450379i
\(392\) 9.19349 1.95414i 0.464342 0.0986988i
\(393\) −10.9231 22.1018i −0.550999 1.11489i
\(394\) −1.00710 1.11850i −0.0507370 0.0563492i
\(395\) −3.75243 + 26.1038i −0.188805 + 1.31343i
\(396\) −1.78122 9.51874i −0.0895095 0.478335i
\(397\) 4.04467 + 12.4482i 0.202996 + 0.624758i 0.999790 + 0.0205064i \(0.00652785\pi\)
−0.796794 + 0.604252i \(0.793472\pi\)
\(398\) −5.51185 + 2.45403i −0.276284 + 0.123010i
\(399\) 22.7523 34.1150i 1.13904 1.70789i
\(400\) 4.17384 + 17.2007i 0.208692 + 0.860033i
\(401\) −1.28841 2.23159i −0.0643399 0.111440i 0.832061 0.554684i \(-0.187161\pi\)
−0.896401 + 0.443244i \(0.853828\pi\)
\(402\) −4.55290 3.77995i −0.227078 0.188527i
\(403\) −5.06729 1.07709i −0.252420 0.0536535i
\(404\) 4.28719 + 13.1946i 0.213296 + 0.656457i
\(405\) 17.6044 + 9.75113i 0.874770 + 0.484538i
\(406\) −2.43320 + 7.48863i −0.120758 + 0.371654i
\(407\) −4.07842 + 7.06402i −0.202160 + 0.350151i
\(408\) −2.83998 + 7.13637i −0.140600 + 0.353303i
\(409\) 36.2080 + 16.1208i 1.79037 + 0.797124i 0.976321 + 0.216325i \(0.0694072\pi\)
0.814048 + 0.580798i \(0.197259\pi\)
\(410\) −0.0521998 0.781828i −0.00257796 0.0386117i
\(411\) 15.7637 5.83102i 0.777567 0.287623i
\(412\) −0.940772 8.95085i −0.0463485 0.440977i
\(413\) −19.7085 + 14.3191i −0.969792 + 0.704595i
\(414\) −3.27908 3.10098i −0.161158 0.152405i
\(415\) 8.51949 8.76683i 0.418205 0.430347i
\(416\) −0.349119 3.32165i −0.0171170 0.162857i
\(417\) −2.79166 + 0.407234i −0.136708 + 0.0199424i
\(418\) −1.40276 2.42965i −0.0686113 0.118838i
\(419\) −15.7915 + 3.35660i −0.771468 + 0.163981i −0.576796 0.816888i \(-0.695697\pi\)
−0.194671 + 0.980869i \(0.562364\pi\)
\(420\) −17.3325 23.7521i −0.845742 1.15898i
\(421\) 29.8599 + 6.34692i 1.45528 + 0.309330i 0.866588 0.499025i \(-0.166308\pi\)
0.588696 + 0.808355i \(0.299642\pi\)
\(422\) 1.31946 + 4.06088i 0.0642303 + 0.197681i
\(423\) −13.6011 + 4.05442i −0.661310 + 0.197133i
\(424\) −9.79717 −0.475793
\(425\) 3.64758 19.9516i 0.176934 0.967794i
\(426\) −1.86606 + 2.79799i −0.0904110 + 0.135563i
\(427\) 1.16607 11.0944i 0.0564299 0.536895i
\(428\) 24.8433 27.5912i 1.20084 1.33367i
\(429\) −0.756168 2.96667i −0.0365081 0.143232i
\(430\) 6.22077 + 0.236829i 0.299992 + 0.0114209i
\(431\) 4.75754 14.6422i 0.229162 0.705290i −0.768680 0.639634i \(-0.779086\pi\)
0.997842 0.0656558i \(-0.0209139\pi\)
\(432\) 12.0922 13.8609i 0.581788 0.666882i
\(433\) 12.3339 37.9599i 0.592730 1.82424i 0.0270144 0.999635i \(-0.491400\pi\)
0.565716 0.824600i \(-0.308600\pi\)
\(434\) −0.566260 5.38761i −0.0271814 0.258613i
\(435\) 27.5473 2.95333i 1.32079 0.141601i
\(436\) 2.18259 20.7660i 0.104527 0.994509i
\(437\) 29.5593 + 13.1607i 1.41401 + 0.629559i
\(438\) 0.105893 + 2.63707i 0.00505976 + 0.126004i
\(439\) 21.8459 9.72643i 1.04265 0.464217i 0.187318 0.982299i \(-0.440021\pi\)
0.855331 + 0.518082i \(0.173354\pi\)
\(440\) −4.04459 + 0.700059i −0.192818 + 0.0333740i
\(441\) 22.0155 + 13.4388i 1.04836 + 0.639944i
\(442\) −0.367748 + 1.13181i −0.0174920 + 0.0538348i
\(443\) 10.1099 17.5109i 0.480337 0.831968i −0.519409 0.854526i \(-0.673848\pi\)
0.999746 + 0.0225580i \(0.00718106\pi\)
\(444\) −16.0041 + 2.33460i −0.759519 + 0.110795i
\(445\) −17.9768 + 28.5685i −0.852182 + 1.35428i
\(446\) 3.82163 4.24436i 0.180960 0.200976i
\(447\) 13.6992 13.3682i 0.647949 0.632296i
\(448\) −22.3534 + 9.95236i −1.05610 + 0.470205i
\(449\) 7.79598 0.367915 0.183957 0.982934i \(-0.441109\pi\)
0.183957 + 0.982934i \(0.441109\pi\)
\(450\) 2.07522 3.62920i 0.0978270 0.171082i
\(451\) −2.11129 −0.0994166
\(452\) −11.9531 + 5.32188i −0.562228 + 0.250320i
\(453\) 9.68486 + 2.72238i 0.455035 + 0.127909i
\(454\) −0.441558 + 0.490400i −0.0207234 + 0.0230156i
\(455\) −5.95279 7.13975i −0.279071 0.334717i
\(456\) 4.19687 10.5460i 0.196536 0.493862i
\(457\) 5.97766 10.3536i 0.279623 0.484321i −0.691668 0.722216i \(-0.743124\pi\)
0.971291 + 0.237894i \(0.0764572\pi\)
\(458\) 0.281204 0.865455i 0.0131398 0.0404401i
\(459\) −19.1189 + 8.87409i −0.892392 + 0.414207i
\(460\) 16.1696 16.6390i 0.753912 0.775799i
\(461\) 21.0765 9.38384i 0.981629 0.437049i 0.147767 0.989022i \(-0.452792\pi\)
0.833862 + 0.551973i \(0.186125\pi\)
\(462\) 2.70608 1.71068i 0.125898 0.0795881i
\(463\) −17.7625 7.90838i −0.825494 0.367534i −0.0498910 0.998755i \(-0.515887\pi\)
−0.775603 + 0.631221i \(0.782554\pi\)
\(464\) 2.64697 25.1842i 0.122882 1.16915i
\(465\) −16.4875 + 9.56486i −0.764588 + 0.443560i
\(466\) −0.0366165 0.348383i −0.00169623 0.0161385i
\(467\) 4.78120 14.7150i 0.221248 0.680931i −0.777403 0.629003i \(-0.783463\pi\)
0.998651 0.0519278i \(-0.0165366\pi\)
\(468\) 3.68710 4.82236i 0.170436 0.222914i
\(469\) −14.9603 + 46.0431i −0.690803 + 2.12607i
\(470\) 0.803750 + 2.83666i 0.0370742 + 0.130845i
\(471\) −4.56359 + 4.45335i −0.210279 + 0.205199i
\(472\) −4.51201 + 5.01110i −0.207682 + 0.230654i
\(473\) 1.75333 16.6818i 0.0806182 0.767030i
\(474\) −2.52254 5.10408i −0.115864 0.234438i
\(475\) −5.39033 + 29.4841i −0.247325 + 1.35282i
\(476\) 30.7966 1.41156
\(477\) −19.5345 18.4735i −0.894422 0.845842i
\(478\) −1.12090 3.44978i −0.0512688 0.157789i
\(479\) 29.8968 + 6.35475i 1.36602 + 0.290356i 0.831840 0.555016i \(-0.187288\pi\)
0.534178 + 0.845372i \(0.320621\pi\)
\(480\) −9.14955 8.20387i −0.417618 0.374454i
\(481\) −5.00139 + 1.06308i −0.228044 + 0.0484722i
\(482\) −0.172190 0.298242i −0.00784305 0.0135846i
\(483\) −13.6525 + 34.3063i −0.621209 + 1.56099i
\(484\) −1.64372 15.6389i −0.0747144 0.710860i
\(485\) 1.06359 7.39887i 0.0482951 0.335965i
\(486\) −4.32465 + 0.416231i −0.196170 + 0.0188806i
\(487\) −7.57800 + 5.50574i −0.343392 + 0.249489i −0.746092 0.665843i \(-0.768072\pi\)
0.402700 + 0.915332i \(0.368072\pi\)
\(488\) −0.322765 3.07091i −0.0146109 0.139013i
\(489\) 0.501278 + 0.416176i 0.0226686 + 0.0188201i
\(490\) 2.85369 4.53505i 0.128916 0.204873i
\(491\) −16.8465 7.50055i −0.760273 0.338495i −0.0102850 0.999947i \(-0.503274\pi\)
−0.749988 + 0.661452i \(0.769941\pi\)
\(492\) −2.59454 3.28531i −0.116971 0.148113i
\(493\) −14.5088 + 25.1300i −0.653444 + 1.13180i
\(494\) 0.543452 1.67257i 0.0244511 0.0752526i
\(495\) −9.38449 6.23060i −0.421801 0.280045i
\(496\) 5.38371 + 16.5694i 0.241736 + 0.743986i
\(497\) 26.9137 + 5.72068i 1.20724 + 0.256608i
\(498\) −0.444685 + 2.60138i −0.0199268 + 0.116571i
\(499\) 13.8809 + 24.0424i 0.621393 + 1.07628i 0.989227 + 0.146393i \(0.0467664\pi\)
−0.367833 + 0.929892i \(0.619900\pi\)
\(500\) 18.5106 + 10.9213i 0.827817 + 0.488414i
\(501\) −6.71794 13.5930i −0.300135 0.607291i
\(502\) 4.12258 1.83549i 0.184000 0.0819219i
\(503\) −12.4716 38.3835i −0.556080 1.71144i −0.693075 0.720865i \(-0.743745\pi\)
0.136996 0.990572i \(-0.456255\pi\)
\(504\) 12.2168 + 4.30244i 0.544179 + 0.191646i
\(505\) 14.4824 + 7.12003i 0.644459 + 0.316837i
\(506\) 1.69034 + 1.87731i 0.0751448 + 0.0834567i
\(507\) −11.4286 + 17.1361i −0.507561 + 0.761041i
\(508\) −24.9358 + 5.30026i −1.10635 + 0.235161i
\(509\) −16.6460 7.41126i −0.737819 0.328498i 0.00318840 0.999995i \(-0.498985\pi\)
−0.741008 + 0.671497i \(0.765652\pi\)
\(510\) 1.78929 + 3.99640i 0.0792311 + 0.176964i
\(511\) 19.7251 8.78220i 0.872589 0.388502i
\(512\) −15.3486 + 11.1514i −0.678319 + 0.492828i
\(513\) 28.2535 13.1140i 1.24742 0.578996i
\(514\) −5.65082 4.10556i −0.249247 0.181089i
\(515\) −8.22944 6.47133i −0.362632 0.285161i
\(516\) 28.1127 17.7718i 1.23759 0.782360i
\(517\) 7.77052 1.65168i 0.341747 0.0726406i
\(518\) −2.67342 4.63049i −0.117463 0.203452i
\(519\) 2.30571 + 2.91959i 0.101210 + 0.128156i
\(520\) −2.02260 1.59050i −0.0886971 0.0697482i
\(521\) 5.30810 + 16.3367i 0.232552 + 0.715722i 0.997437 + 0.0715548i \(0.0227961\pi\)
−0.764884 + 0.644168i \(0.777204\pi\)
\(522\) −4.54140 + 3.89232i −0.198772 + 0.170362i
\(523\) −9.32851 6.77756i −0.407907 0.296362i 0.364847 0.931068i \(-0.381121\pi\)
−0.772754 + 0.634706i \(0.781121\pi\)
\(524\) −13.6810 + 23.6961i −0.597656 + 1.03517i
\(525\) −33.8648 4.79614i −1.47798 0.209321i
\(526\) 2.70192 + 4.67986i 0.117809 + 0.204052i
\(527\) 2.08681 19.8546i 0.0909027 0.864881i
\(528\) −7.36878 + 7.19076i −0.320685 + 0.312938i
\(529\) −6.00083 1.27552i −0.260906 0.0554572i
\(530\) −3.89246 + 4.00547i −0.169078 + 0.173986i
\(531\) −18.4453 + 1.48376i −0.800459 + 0.0643897i
\(532\) −45.5107 −1.97314
\(533\) −0.885571 0.983526i −0.0383583 0.0426012i
\(534\) −0.292379 7.28115i −0.0126525 0.315086i
\(535\) −2.87706 43.0914i −0.124386 1.86301i
\(536\) −1.40074 + 13.3271i −0.0605026 + 0.575643i
\(537\) −28.5157 + 18.0265i −1.23054 + 0.777903i
\(538\) 0.108706 + 1.03427i 0.00468666 + 0.0445906i
\(539\) −11.6801 8.48608i −0.503097 0.365521i
\(540\) −1.83723 22.2597i −0.0790620 0.957904i
\(541\) 15.1965 11.0409i 0.653350 0.474687i −0.211061 0.977473i \(-0.567692\pi\)
0.864411 + 0.502786i \(0.167692\pi\)
\(542\) −4.12133 4.57720i −0.177026 0.196607i
\(543\) −25.7486 1.66531i −1.10498 0.0714653i
\(544\) 12.5898 2.67605i 0.539784 0.114735i
\(545\) −15.5536 18.6549i −0.666243 0.799089i
\(546\) 1.93196 + 0.543068i 0.0826804 + 0.0232412i
\(547\) 5.71030 + 1.21376i 0.244155 + 0.0518967i 0.328364 0.944551i \(-0.393503\pi\)
−0.0842086 + 0.996448i \(0.526836\pi\)
\(548\) −15.0914 10.9645i −0.644672 0.468381i
\(549\) 5.14692 6.73165i 0.219665 0.287300i
\(550\) −1.32072 + 1.93172i −0.0563158 + 0.0823690i
\(551\) 21.4409 37.1367i 0.913412 1.58208i
\(552\) −1.72209 + 10.0741i −0.0732969 + 0.428783i
\(553\) −31.1675 + 34.6150i −1.32538 + 1.47198i
\(554\) −2.23018 + 2.47687i −0.0947514 + 0.105232i
\(555\) −11.0264 + 15.2431i −0.468044 + 0.647035i
\(556\) 2.09513 + 2.32688i 0.0888532 + 0.0986815i
\(557\) 21.0555 0.892151 0.446076 0.894995i \(-0.352821\pi\)
0.446076 + 0.894995i \(0.352821\pi\)
\(558\) 1.76514 3.71722i 0.0747244 0.157362i
\(559\) 8.50652 6.18034i 0.359787 0.261401i
\(560\) −10.7845 + 29.3427i −0.455729 + 1.23996i
\(561\) 11.0654 4.09310i 0.467180 0.172811i
\(562\) 6.96259 + 3.09995i 0.293699 + 0.130763i
\(563\) 12.1123 + 5.39273i 0.510471 + 0.227277i 0.645775 0.763528i \(-0.276534\pi\)
−0.135304 + 0.990804i \(0.543201\pi\)
\(564\) 12.1192 + 10.0618i 0.510312 + 0.423677i
\(565\) −5.25046 + 14.2855i −0.220889 + 0.600997i
\(566\) 0.701520 0.509684i 0.0294871 0.0214236i
\(567\) 16.2463 + 31.6144i 0.682279 + 1.32768i
\(568\) 7.61609 0.319564
\(569\) −7.07709 7.85990i −0.296687 0.329504i 0.576309 0.817232i \(-0.304493\pi\)
−0.872996 + 0.487728i \(0.837826\pi\)
\(570\) −2.64418 5.90582i −0.110753 0.247368i
\(571\) 27.0260 30.0154i 1.13100 1.25610i 0.168241 0.985746i \(-0.446191\pi\)
0.962760 0.270358i \(-0.0871421\pi\)
\(572\) −2.27360 + 2.52509i −0.0950639 + 0.105579i
\(573\) 13.2469 4.90005i 0.553397 0.204703i
\(574\) 0.691978 1.19854i 0.0288826 0.0500261i
\(575\) −0.772167 26.9773i −0.0322016 1.12503i
\(576\) −18.4319 2.39421i −0.767996 0.0997586i
\(577\) 11.4589 + 8.32536i 0.477039 + 0.346589i 0.800178 0.599762i \(-0.204738\pi\)
−0.323139 + 0.946351i \(0.604738\pi\)
\(578\) 0.148624 + 0.0315910i 0.00618193 + 0.00131401i
\(579\) 5.90519 5.76254i 0.245411 0.239483i
\(580\) −19.6907 23.6169i −0.817610 0.980638i
\(581\) 21.1194 4.48907i 0.876181 0.186238i
\(582\) 0.714988 + 1.44670i 0.0296372 + 0.0599676i
\(583\) 10.0699 + 11.1837i 0.417051 + 0.463182i
\(584\) 4.83516 3.51295i 0.200080 0.145367i
\(585\) −1.03381 6.98509i −0.0427427 0.288798i
\(586\) 0.489977 + 0.355989i 0.0202408 + 0.0147058i
\(587\) 1.08785 + 10.3502i 0.0449003 + 0.427198i 0.993763 + 0.111510i \(0.0355686\pi\)
−0.948863 + 0.315688i \(0.897765\pi\)
\(588\) −1.14859 28.6035i −0.0473671 1.17959i
\(589\) −3.08385 + 29.3408i −0.127068 + 1.20897i
\(590\) 0.256090 + 3.83562i 0.0105431 + 0.157910i
\(591\) −7.90617 + 4.99798i −0.325216 + 0.205589i
\(592\) 11.5060 + 12.7787i 0.472895 + 0.525203i
\(593\) 33.1998 1.36335 0.681676 0.731654i \(-0.261251\pi\)
0.681676 + 0.731654i \(0.261251\pi\)
\(594\) 2.43156 0.0381359i 0.0997681 0.00156474i
\(595\) 24.9657 25.6905i 1.02349 1.05321i
\(596\) −20.7795 4.41681i −0.851160 0.180920i
\(597\) 9.26100 + 36.3336i 0.379027 + 1.48704i
\(598\) −0.165525 + 1.57486i −0.00676881 + 0.0644009i
\(599\) −16.0799 27.8512i −0.657007 1.13797i −0.981387 0.192043i \(-0.938489\pi\)
0.324379 0.945927i \(-0.394845\pi\)
\(600\) −9.44490 + 0.650353i −0.385586 + 0.0265505i
\(601\) 3.24834 5.62629i 0.132503 0.229501i −0.792138 0.610342i \(-0.791032\pi\)
0.924641 + 0.380841i \(0.124365\pi\)
\(602\) 8.89532 + 6.46283i 0.362546 + 0.263405i
\(603\) −27.9224 + 23.9316i −1.13709 + 0.974568i
\(604\) −3.45029 10.6189i −0.140390 0.432076i
\(605\) −14.3785 11.3067i −0.584568 0.459683i
\(606\) −3.44749 + 0.502905i −0.140045 + 0.0204291i
\(607\) −4.92697 8.53376i −0.199979 0.346375i 0.748542 0.663087i \(-0.230754\pi\)
−0.948521 + 0.316713i \(0.897421\pi\)
\(608\) −18.6050 + 3.95462i −0.754534 + 0.160381i
\(609\) 43.3252 + 22.7467i 1.75563 + 0.921743i
\(610\) −1.38374 1.08813i −0.0560261 0.0440569i
\(611\) 4.02874 + 2.92705i 0.162985 + 0.118416i
\(612\) 19.9673 + 12.1885i 0.807129 + 0.492693i
\(613\) 21.3372 15.5024i 0.861801 0.626135i −0.0665732 0.997782i \(-0.521207\pi\)
0.928374 + 0.371646i \(0.121207\pi\)
\(614\) 1.56953 0.698798i 0.0633409 0.0282012i
\(615\) −4.84390 0.498922i −0.195325 0.0201185i
\(616\) −6.62308 2.94878i −0.266851 0.118810i
\(617\) 16.5737 3.52285i 0.667232 0.141825i 0.138171 0.990408i \(-0.455878\pi\)
0.529061 + 0.848584i \(0.322544\pi\)
\(618\) 2.25543 + 0.145871i 0.0907265 + 0.00586780i
\(619\) 18.2999 + 20.3241i 0.735536 + 0.816896i 0.988602 0.150553i \(-0.0481055\pi\)
−0.253066 + 0.967449i \(0.581439\pi\)
\(620\) 18.9847 + 9.33348i 0.762443 + 0.374842i
\(621\) −22.4293 + 16.8395i −0.900057 + 0.675746i
\(622\) −0.339933 1.04621i −0.0136301 0.0419491i
\(623\) −54.4627 + 24.2484i −2.18200 + 0.971490i
\(624\) −6.44056 0.416548i −0.257829 0.0166752i
\(625\) 24.1163 6.58800i 0.964654 0.263520i
\(626\) −0.341966 0.592303i −0.0136677 0.0236732i
\(627\) −16.3522 + 6.04871i −0.653045 + 0.241562i
\(628\) 6.92223 + 1.47137i 0.276227 + 0.0587139i
\(629\) −6.08898 18.7400i −0.242784 0.747211i
\(630\) 6.61279 3.28532i 0.263460 0.130890i
\(631\) −6.22922 + 19.1716i −0.247981 + 0.763208i 0.747151 + 0.664655i \(0.231421\pi\)
−0.995132 + 0.0985529i \(0.968579\pi\)
\(632\) −6.44650 + 11.1657i −0.256428 + 0.444147i
\(633\) 26.2574 3.83031i 1.04364 0.152241i
\(634\) −2.40096 1.06898i −0.0953545 0.0424546i
\(635\) −15.7930 + 25.0981i −0.626727 + 0.995988i
\(636\) −5.02792 + 29.4130i −0.199370 + 1.16630i
\(637\) −0.945993 9.00052i −0.0374816 0.356614i
\(638\) 2.70850 1.96784i 0.107231 0.0779076i
\(639\) 15.1856 + 14.3608i 0.600734 + 0.568106i
\(640\) −2.56846 + 17.8675i −0.101527 + 0.706276i
\(641\) 2.51268 + 23.9066i 0.0992450 + 0.944253i 0.924934 + 0.380128i \(0.124120\pi\)
−0.825689 + 0.564126i \(0.809213\pi\)
\(642\) 5.77850 + 7.31698i 0.228059 + 0.288778i
\(643\) 6.17193 + 10.6901i 0.243397 + 0.421576i 0.961680 0.274175i \(-0.0884048\pi\)
−0.718283 + 0.695752i \(0.755071\pi\)
\(644\) 40.0837 8.52005i 1.57952 0.335737i
\(645\) 7.96475 37.8586i 0.313612 1.49068i
\(646\) 6.62917 + 1.40907i 0.260821 + 0.0554392i
\(647\) −13.9688 42.9917i −0.549172 1.69018i −0.710858 0.703335i \(-0.751693\pi\)
0.161687 0.986842i \(-0.448307\pi\)
\(648\) 6.21807 + 7.62463i 0.244269 + 0.299524i
\(649\) 10.3579 0.406583
\(650\) −1.45385 + 0.195006i −0.0570247 + 0.00764875i
\(651\) −33.5958 2.17283i −1.31672 0.0851600i
\(652\) 0.0755840 0.719133i 0.00296010 0.0281634i
\(653\) −6.72082 + 7.46423i −0.263006 + 0.292098i −0.860155 0.510032i \(-0.829633\pi\)
0.597149 + 0.802130i \(0.296300\pi\)
\(654\) 5.04788 + 1.41894i 0.197388 + 0.0554850i
\(655\) 8.67662 + 30.6222i 0.339024 + 1.19651i
\(656\) −1.37538 + 4.23298i −0.0536996 + 0.165270i
\(657\) 16.2648 + 2.11270i 0.634549 + 0.0824245i
\(658\) −1.60918 + 4.95253i −0.0627322 + 0.193070i
\(659\) 3.83346 + 36.4729i 0.149330 + 1.42078i 0.770666 + 0.637239i \(0.219924\pi\)
−0.621336 + 0.783545i \(0.713410\pi\)
\(660\) 0.0260252 + 12.5019i 0.00101303 + 0.486636i
\(661\) −1.19894 + 11.4072i −0.0466334 + 0.443687i 0.946147 + 0.323738i \(0.104940\pi\)
−0.992780 + 0.119949i \(0.961727\pi\)
\(662\) −5.25179 2.33825i −0.204117 0.0908785i
\(663\) 6.54806 + 3.43788i 0.254306 + 0.133516i
\(664\) 5.45973 2.43083i 0.211879 0.0943344i
\(665\) −36.8939 + 37.9650i −1.43068 + 1.47222i
\(666\) 0.0993006 4.06030i 0.00384782 0.157333i
\(667\) −11.9318 + 36.7222i −0.461999 + 1.42189i
\(668\) −8.41406 + 14.5736i −0.325550 + 0.563869i
\(669\) −21.9979 27.8546i −0.850487 1.07692i
\(670\) 4.89212 + 5.86759i 0.188999 + 0.226685i
\(671\) −3.17377 + 3.52483i −0.122522 + 0.136074i
\(672\) −5.36093 21.0325i −0.206802 0.811347i
\(673\) 32.2055 14.3388i 1.24143 0.552721i 0.322288 0.946642i \(-0.395548\pi\)
0.919144 + 0.393921i \(0.128882\pi\)
\(674\) −7.54367 −0.290571
\(675\) −20.0584 16.5125i −0.772047 0.635566i
\(676\) 22.8602 0.879240
\(677\) 1.28253 0.571021i 0.0492918 0.0219461i −0.381943 0.924186i \(-0.624745\pi\)
0.431234 + 0.902240i \(0.358078\pi\)
\(678\) −0.811554 3.18396i −0.0311675 0.122279i
\(679\) 8.83411 9.81128i 0.339022 0.376522i
\(680\) 5.28097 8.39246i 0.202516 0.321836i
\(681\) 2.54167 + 3.21837i 0.0973971 + 0.123328i
\(682\) −1.15167 + 1.99475i −0.0440996 + 0.0763828i
\(683\) 13.5005 41.5502i 0.516582 1.58987i −0.263804 0.964576i \(-0.584977\pi\)
0.780386 0.625298i \(-0.215023\pi\)
\(684\) −29.5073 18.0120i −1.12824 0.688707i
\(685\) −21.3806 + 3.70067i −0.816912 + 0.141395i
\(686\) 1.60660 0.715304i 0.0613402 0.0273104i
\(687\) −5.00706 2.62882i −0.191031 0.100296i
\(688\) −32.3037 14.3825i −1.23157 0.548329i
\(689\) −0.986081 + 9.38194i −0.0375667 + 0.357423i
\(690\) 3.43450 + 4.70655i 0.130749 + 0.179175i
\(691\) −4.73461 45.0468i −0.180113 1.71366i −0.594947 0.803765i \(-0.702827\pi\)
0.414834 0.909897i \(-0.363840\pi\)
\(692\) 1.27591 3.92686i 0.0485029 0.149277i
\(693\) −7.64548 18.3680i −0.290428 0.697741i
\(694\) −2.90127 + 8.92918i −0.110131 + 0.338947i
\(695\) 3.63952 + 0.138559i 0.138055 + 0.00525585i
\(696\) 13.0393 + 3.66531i 0.494255 + 0.138933i
\(697\) 3.41271 3.79020i 0.129266 0.143564i
\(698\) 0.156295 1.48705i 0.00591586 0.0562857i
\(699\) −2.17243 0.140503i −0.0821689 0.00531433i
\(700\) 16.4256 + 34.2223i 0.620829 + 1.29348i
\(701\) 29.7825 1.12487 0.562435 0.826841i \(-0.309864\pi\)
0.562435 + 0.826841i \(0.309864\pi\)
\(702\) 1.03767 + 1.11673i 0.0391644 + 0.0421481i
\(703\) 8.99820 + 27.6936i 0.339373 + 1.04448i
\(704\) 10.1764 + 2.16305i 0.383536 + 0.0815231i
\(705\) 18.2181 1.95316i 0.686135 0.0735601i
\(706\) 6.39427 1.35914i 0.240651 0.0511520i
\(707\) 14.2516 + 24.6846i 0.535988 + 0.928359i
\(708\) 12.7287 + 16.1176i 0.478374 + 0.605737i
\(709\) 2.20660 + 20.9944i 0.0828707 + 0.788462i 0.954483 + 0.298266i \(0.0964083\pi\)
−0.871612 + 0.490196i \(0.836925\pi\)
\(710\) 3.02591 3.11376i 0.113560 0.116857i
\(711\) −33.9075 + 10.1076i −1.27163 + 0.379066i
\(712\) −13.3503 + 9.69954i −0.500323 + 0.363506i
\(713\) −2.77678 26.4193i −0.103991 0.989412i
\(714\) −1.30311 + 7.62314i −0.0487678 + 0.285289i
\(715\) 0.263302 + 3.94363i 0.00984692 + 0.147483i
\(716\) 34.2047 + 15.2289i 1.27829 + 0.569132i
\(717\) −22.3060 + 3.25391i −0.833035 + 0.121519i
\(718\) −2.18195 + 3.77925i −0.0814298 + 0.141040i
\(719\) −3.25698 + 10.0240i −0.121465 + 0.373831i −0.993240 0.116075i \(-0.962969\pi\)
0.871775 + 0.489906i \(0.162969\pi\)
\(720\) −18.6054 + 14.7564i −0.693381 + 0.549937i
\(721\) −5.71395 17.5857i −0.212799 0.654927i
\(722\) −4.61673 0.981316i −0.171817 0.0365208i
\(723\) −2.00725 + 0.742484i −0.0746504 + 0.0276133i
\(724\) 14.3184 + 24.8003i 0.532141 + 0.921695i
\(725\) −35.6637 2.71943i −1.32452 0.100997i
\(726\) 3.94068 + 0.254866i 0.146252 + 0.00945896i
\(727\) −5.05053 + 2.24864i −0.187314 + 0.0833974i −0.498250 0.867033i \(-0.666024\pi\)
0.310937 + 0.950431i \(0.399357\pi\)
\(728\) −1.40436 4.32216i −0.0520489 0.160190i
\(729\) −1.97881 + 26.9274i −0.0732891 + 0.997311i
\(730\) 0.484800 3.37251i 0.0179432 0.124822i
\(731\) 27.1132 + 30.1123i 1.00282 + 1.11374i
\(732\) −9.38510 0.606987i −0.346883 0.0224349i
\(733\) 8.41306 1.78825i 0.310744 0.0660506i −0.0499002 0.998754i \(-0.515890\pi\)
0.360644 + 0.932704i \(0.382557\pi\)
\(734\) −4.67053 2.07946i −0.172393 0.0767541i
\(735\) −24.7921 22.2297i −0.914472 0.819953i
\(736\) 15.6461 6.96608i 0.576722 0.256773i
\(737\) 16.6530 12.0991i 0.613419 0.445675i
\(738\) 0.923004 0.503218i 0.0339762 0.0185237i
\(739\) −5.63541 4.09436i −0.207302 0.150614i 0.479290 0.877656i \(-0.340894\pi\)
−0.686592 + 0.727043i \(0.740894\pi\)
\(740\) 20.8647 + 0.794335i 0.767002 + 0.0292003i
\(741\) −9.67662 5.08044i −0.355479 0.186635i
\(742\) −9.64922 + 2.05101i −0.354234 + 0.0752948i
\(743\) −1.69867 2.94218i −0.0623180 0.107938i 0.833183 0.552997i \(-0.186516\pi\)
−0.895501 + 0.445059i \(0.853183\pi\)
\(744\) −9.22110 + 1.34513i −0.338062 + 0.0493150i
\(745\) −20.5296 + 13.7537i −0.752148 + 0.503895i
\(746\) −1.26078 3.88027i −0.0461603 0.142067i
\(747\) 15.4696 + 5.44801i 0.566004 + 0.199332i
\(748\) −10.5934 7.69657i −0.387334 0.281414i
\(749\) 38.1393 66.0591i 1.39358 2.41375i
\(750\) −3.48661 + 4.11983i −0.127313 + 0.150435i
\(751\) −8.22782 14.2510i −0.300238 0.520027i 0.675952 0.736946i \(-0.263733\pi\)
−0.976190 + 0.216919i \(0.930399\pi\)
\(752\) 1.75055 16.6553i 0.0638358 0.607357i
\(753\) −6.92675 27.1757i −0.252425 0.990337i
\(754\) 2.05277 + 0.436330i 0.0747576 + 0.0158902i
\(755\) −11.6553 5.73012i −0.424179 0.208540i
\(756\) 19.1864 34.4691i 0.697803 1.25363i
\(757\) 32.9922 1.19912 0.599560 0.800330i \(-0.295342\pi\)
0.599560 + 0.800330i \(0.295342\pi\)
\(758\) 1.15619 + 1.28407i 0.0419946 + 0.0466397i
\(759\) 13.2699 8.38871i 0.481666 0.304491i
\(760\) −7.80413 + 12.4022i −0.283086 + 0.449876i
\(761\) −2.66928 + 25.3965i −0.0967614 + 0.920624i 0.833201 + 0.552970i \(0.186506\pi\)
−0.929963 + 0.367654i \(0.880161\pi\)
\(762\) −0.256862 6.39666i −0.00930513 0.231727i
\(763\) −4.48411 42.6635i −0.162336 1.54452i
\(764\) −12.6819 9.21394i −0.458815 0.333349i
\(765\) 26.3544 6.77587i 0.952846 0.244982i
\(766\) −2.71876 + 1.97530i −0.0982328 + 0.0713703i
\(767\) 4.34458 + 4.82514i 0.156874 + 0.174226i
\(768\) 7.78247 + 15.7470i 0.280826 + 0.568220i
\(769\) −26.2553 + 5.58075i −0.946792 + 0.201247i −0.655336 0.755337i \(-0.727473\pi\)
−0.291456 + 0.956584i \(0.594140\pi\)
\(770\) −3.83696 + 1.53621i −0.138274 + 0.0553611i