Properties

Label 230.2.l.a.67.10
Level $230$
Weight $2$
Character 230.67
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 67.10
Character \(\chi\) \(=\) 230.67
Dual form 230.2.l.a.103.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.212565 + 0.977147i) q^{2} +(0.521893 + 0.390684i) q^{3} +(-0.909632 + 0.415415i) q^{4} +(-0.172358 + 2.22942i) q^{5} +(-0.270819 + 0.593012i) q^{6} +(0.196919 + 2.75328i) q^{7} +(-0.599278 - 0.800541i) q^{8} +(-0.725460 - 2.47069i) q^{9} +O(q^{10})\) \(q+(0.212565 + 0.977147i) q^{2} +(0.521893 + 0.390684i) q^{3} +(-0.909632 + 0.415415i) q^{4} +(-0.172358 + 2.22942i) q^{5} +(-0.270819 + 0.593012i) q^{6} +(0.196919 + 2.75328i) q^{7} +(-0.599278 - 0.800541i) q^{8} +(-0.725460 - 2.47069i) q^{9} +(-2.21510 + 0.305477i) q^{10} +(-0.171272 - 0.266505i) q^{11} +(-0.637026 - 0.138577i) q^{12} +(-0.610881 - 0.0436911i) q^{13} +(-2.64850 + 0.777670i) q^{14} +(-0.960949 + 1.09618i) q^{15} +(0.654861 - 0.755750i) q^{16} +(0.930625 + 2.49510i) q^{17} +(2.26002 - 1.23406i) q^{18} +(1.33902 + 2.93205i) q^{19} +(-0.769350 - 2.09955i) q^{20} +(-0.972892 + 1.51385i) q^{21} +(0.224008 - 0.224008i) q^{22} +(4.61891 + 1.29062i) q^{23} -0.651925i q^{24} +(-4.94059 - 0.768515i) q^{25} +(-0.0871595 - 0.606208i) q^{26} +(1.27012 - 3.40532i) q^{27} +(-1.32288 - 2.42267i) q^{28} +(5.55597 + 2.53733i) q^{29} +(-1.27539 - 0.705979i) q^{30} +(1.29230 - 8.98814i) q^{31} +(0.877679 + 0.479249i) q^{32} +(0.0147334 - 0.206000i) q^{33} +(-2.24026 + 1.43973i) q^{34} +(-6.17215 - 0.0355368i) q^{35} +(1.68626 + 1.94605i) q^{36} +(1.15696 - 2.11882i) q^{37} +(-2.58041 + 1.93167i) q^{38} +(-0.301745 - 0.261463i) q^{39} +(1.88803 - 1.19806i) q^{40} +(-7.62326 - 2.23839i) q^{41} +(-1.68606 - 0.628867i) q^{42} +(6.26113 - 8.36389i) q^{43} +(0.266505 + 0.171272i) q^{44} +(5.63323 - 1.19151i) q^{45} +(-0.279308 + 4.78769i) q^{46} +(4.91328 + 4.91328i) q^{47} +(0.637026 - 0.138577i) q^{48} +(-0.613031 + 0.0881405i) q^{49} +(-0.299245 - 4.99104i) q^{50} +(-0.489110 + 1.66576i) q^{51} +(0.573827 - 0.214026i) q^{52} +(5.77904 - 0.413325i) q^{53} +(3.59748 + 0.517240i) q^{54} +(0.623671 - 0.335903i) q^{55} +(2.08611 - 1.80762i) q^{56} +(-0.446679 + 2.05335i) q^{57} +(-1.29834 + 5.96835i) q^{58} +(-3.03630 + 2.63097i) q^{59} +(0.418741 - 1.39631i) q^{60} +(-10.7039 - 1.53899i) q^{61} +(9.05743 - 0.647801i) q^{62} +(6.65964 - 2.48392i) q^{63} +(-0.281733 + 0.959493i) q^{64} +(0.202696 - 1.35438i) q^{65} +(0.204424 - 0.0293918i) q^{66} +(7.50837 - 1.63335i) q^{67} +(-1.88303 - 1.88303i) q^{68} +(1.90635 + 2.47810i) q^{69} +(-1.27726 - 6.03865i) q^{70} +(7.02619 + 4.51545i) q^{71} +(-1.54314 + 2.06139i) q^{72} +(-9.02358 - 3.36562i) q^{73} +(2.31633 + 0.680136i) q^{74} +(-2.27821 - 2.33129i) q^{75} +(-2.43603 - 2.11083i) q^{76} +(0.700037 - 0.524041i) q^{77} +(0.191348 - 0.350427i) q^{78} +(-4.91108 - 5.66768i) q^{79} +(1.57201 + 1.59022i) q^{80} +(-4.50540 + 2.89544i) q^{81} +(0.566796 - 7.92485i) q^{82} +(0.897247 + 0.489934i) q^{83} +(0.256098 - 1.78120i) q^{84} +(-5.72302 + 1.64470i) q^{85} +(9.50365 + 4.34017i) q^{86} +(1.90833 + 3.49484i) q^{87} +(-0.110709 + 0.296821i) q^{88} +(-0.532679 - 3.70486i) q^{89} +(2.36171 + 5.25122i) q^{90} -1.69053i q^{91} +(-4.73765 + 0.744772i) q^{92} +(4.18596 - 4.18596i) q^{93} +(-3.75660 + 5.84539i) q^{94} +(-6.76754 + 2.47987i) q^{95} +(0.270819 + 0.593012i) q^{96} +(-10.5739 + 5.77381i) q^{97} +(-0.216435 - 0.580286i) q^{98} +(-0.534200 + 0.616500i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{13}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.212565 + 0.977147i 0.150306 + 0.690947i
\(3\) 0.521893 + 0.390684i 0.301315 + 0.225561i 0.739227 0.673456i \(-0.235191\pi\)
−0.437912 + 0.899018i \(0.644282\pi\)
\(4\) −0.909632 + 0.415415i −0.454816 + 0.207708i
\(5\) −0.172358 + 2.22942i −0.0770808 + 0.997025i
\(6\) −0.270819 + 0.593012i −0.110562 + 0.242096i
\(7\) 0.196919 + 2.75328i 0.0744282 + 1.04064i 0.888200 + 0.459458i \(0.151956\pi\)
−0.813772 + 0.581185i \(0.802589\pi\)
\(8\) −0.599278 0.800541i −0.211877 0.283034i
\(9\) −0.725460 2.47069i −0.241820 0.823563i
\(10\) −2.21510 + 0.305477i −0.700477 + 0.0966004i
\(11\) −0.171272 0.266505i −0.0516406 0.0803543i 0.814473 0.580201i \(-0.197026\pi\)
−0.866114 + 0.499847i \(0.833390\pi\)
\(12\) −0.637026 0.138577i −0.183894 0.0400036i
\(13\) −0.610881 0.0436911i −0.169428 0.0121177i −0.0136325 0.999907i \(-0.504339\pi\)
−0.155795 + 0.987789i \(0.549794\pi\)
\(14\) −2.64850 + 0.777670i −0.707842 + 0.207841i
\(15\) −0.960949 + 1.09618i −0.248116 + 0.283032i
\(16\) 0.654861 0.755750i 0.163715 0.188937i
\(17\) 0.930625 + 2.49510i 0.225710 + 0.605151i 0.999603 0.0281645i \(-0.00896622\pi\)
−0.773894 + 0.633316i \(0.781693\pi\)
\(18\) 2.26002 1.23406i 0.532691 0.290872i
\(19\) 1.33902 + 2.93205i 0.307193 + 0.672658i 0.998767 0.0496475i \(-0.0158098\pi\)
−0.691574 + 0.722305i \(0.743083\pi\)
\(20\) −0.769350 2.09955i −0.172032 0.469473i
\(21\) −0.972892 + 1.51385i −0.212303 + 0.330349i
\(22\) 0.224008 0.224008i 0.0477587 0.0477587i
\(23\) 4.61891 + 1.29062i 0.963109 + 0.269113i
\(24\) 0.651925i 0.133074i
\(25\) −4.94059 0.768515i −0.988117 0.153703i
\(26\) −0.0871595 0.606208i −0.0170934 0.118887i
\(27\) 1.27012 3.40532i 0.244435 0.655354i
\(28\) −1.32288 2.42267i −0.250000 0.457842i
\(29\) 5.55597 + 2.53733i 1.03172 + 0.471170i 0.858013 0.513628i \(-0.171699\pi\)
0.173705 + 0.984798i \(0.444426\pi\)
\(30\) −1.27539 0.705979i −0.232854 0.128894i
\(31\) 1.29230 8.98814i 0.232104 1.61432i −0.456871 0.889533i \(-0.651030\pi\)
0.688975 0.724785i \(-0.258061\pi\)
\(32\) 0.877679 + 0.479249i 0.155153 + 0.0847201i
\(33\) 0.0147334 0.206000i 0.00256476 0.0358601i
\(34\) −2.24026 + 1.43973i −0.384202 + 0.246912i
\(35\) −6.17215 0.0355368i −1.04328 0.00600682i
\(36\) 1.68626 + 1.94605i 0.281044 + 0.324342i
\(37\) 1.15696 2.11882i 0.190204 0.348332i −0.765123 0.643884i \(-0.777322\pi\)
0.955327 + 0.295552i \(0.0955036\pi\)
\(38\) −2.58041 + 1.93167i −0.418598 + 0.313359i
\(39\) −0.301745 0.261463i −0.0483178 0.0418676i
\(40\) 1.88803 1.19806i 0.298524 0.189430i
\(41\) −7.62326 2.23839i −1.19055 0.349578i −0.374320 0.927300i \(-0.622124\pi\)
−0.816234 + 0.577722i \(0.803942\pi\)
\(42\) −1.68606 0.628867i −0.260164 0.0970362i
\(43\) 6.26113 8.36389i 0.954814 1.27548i −0.00648654 0.999979i \(-0.502065\pi\)
0.961300 0.275503i \(-0.0888443\pi\)
\(44\) 0.266505 + 0.171272i 0.0401772 + 0.0258203i
\(45\) 5.63323 1.19151i 0.839752 0.177620i
\(46\) −0.279308 + 4.78769i −0.0411818 + 0.705907i
\(47\) 4.91328 + 4.91328i 0.716675 + 0.716675i 0.967923 0.251248i \(-0.0808409\pi\)
−0.251248 + 0.967923i \(0.580841\pi\)
\(48\) 0.637026 0.138577i 0.0919468 0.0200018i
\(49\) −0.613031 + 0.0881405i −0.0875758 + 0.0125915i
\(50\) −0.299245 4.99104i −0.0423196 0.705839i
\(51\) −0.489110 + 1.66576i −0.0684891 + 0.233252i
\(52\) 0.573827 0.214026i 0.0795755 0.0296801i
\(53\) 5.77904 0.413325i 0.793812 0.0567746i 0.331458 0.943470i \(-0.392459\pi\)
0.462354 + 0.886695i \(0.347005\pi\)
\(54\) 3.59748 + 0.517240i 0.489555 + 0.0703874i
\(55\) 0.623671 0.335903i 0.0840957 0.0452932i
\(56\) 2.08611 1.80762i 0.278768 0.241554i
\(57\) −0.446679 + 2.05335i −0.0591640 + 0.271973i
\(58\) −1.29834 + 5.96835i −0.170480 + 0.783683i
\(59\) −3.03630 + 2.63097i −0.395292 + 0.342523i −0.829716 0.558186i \(-0.811498\pi\)
0.434424 + 0.900709i \(0.356952\pi\)
\(60\) 0.418741 1.39631i 0.0540593 0.180263i
\(61\) −10.7039 1.53899i −1.37050 0.197048i −0.582553 0.812793i \(-0.697946\pi\)
−0.787945 + 0.615745i \(0.788855\pi\)
\(62\) 9.05743 0.647801i 1.15030 0.0822707i
\(63\) 6.65964 2.48392i 0.839036 0.312944i
\(64\) −0.281733 + 0.959493i −0.0352166 + 0.119937i
\(65\) 0.202696 1.35438i 0.0251413 0.167990i
\(66\) 0.204424 0.0293918i 0.0251629 0.00361788i
\(67\) 7.50837 1.63335i 0.917294 0.199545i 0.270952 0.962593i \(-0.412662\pi\)
0.646342 + 0.763048i \(0.276298\pi\)
\(68\) −1.88303 1.88303i −0.228351 0.228351i
\(69\) 1.90635 + 2.47810i 0.229497 + 0.298328i
\(70\) −1.27726 6.03865i −0.152662 0.721757i
\(71\) 7.02619 + 4.51545i 0.833855 + 0.535886i 0.886501 0.462727i \(-0.153129\pi\)
−0.0526459 + 0.998613i \(0.516765\pi\)
\(72\) −1.54314 + 2.06139i −0.181860 + 0.242937i
\(73\) −9.02358 3.36562i −1.05613 0.393916i −0.239391 0.970923i \(-0.576948\pi\)
−0.816739 + 0.577007i \(0.804220\pi\)
\(74\) 2.31633 + 0.680136i 0.269268 + 0.0790642i
\(75\) −2.27821 2.33129i −0.263065 0.269194i
\(76\) −2.43603 2.11083i −0.279432 0.242129i
\(77\) 0.700037 0.524041i 0.0797766 0.0597200i
\(78\) 0.191348 0.350427i 0.0216659 0.0396781i
\(79\) −4.91108 5.66768i −0.552539 0.637664i 0.408934 0.912564i \(-0.365901\pi\)
−0.961473 + 0.274900i \(0.911355\pi\)
\(80\) 1.57201 + 1.59022i 0.175756 + 0.177792i
\(81\) −4.50540 + 2.89544i −0.500600 + 0.321716i
\(82\) 0.566796 7.92485i 0.0625922 0.875153i
\(83\) 0.897247 + 0.489934i 0.0984857 + 0.0537772i 0.527737 0.849408i \(-0.323041\pi\)
−0.429251 + 0.903185i \(0.641223\pi\)
\(84\) 0.256098 1.78120i 0.0279426 0.194345i
\(85\) −5.72302 + 1.64470i −0.620749 + 0.178393i
\(86\) 9.50365 + 4.34017i 1.02481 + 0.468013i
\(87\) 1.90833 + 3.49484i 0.204594 + 0.374686i
\(88\) −0.110709 + 0.296821i −0.0118016 + 0.0316412i
\(89\) −0.532679 3.70486i −0.0564638 0.392715i −0.998382 0.0568709i \(-0.981888\pi\)
0.941918 0.335844i \(-0.109021\pi\)
\(90\) 2.36171 + 5.25122i 0.248946 + 0.553527i
\(91\) 1.69053i 0.177216i
\(92\) −4.73765 + 0.744772i −0.493934 + 0.0776478i
\(93\) 4.18596 4.18596i 0.434064 0.434064i
\(94\) −3.75660 + 5.84539i −0.387464 + 0.602905i
\(95\) −6.76754 + 2.47987i −0.694335 + 0.254430i
\(96\) 0.270819 + 0.593012i 0.0276404 + 0.0605240i
\(97\) −10.5739 + 5.77381i −1.07362 + 0.586241i −0.915967 0.401253i \(-0.868575\pi\)
−0.157654 + 0.987494i \(0.550393\pi\)
\(98\) −0.216435 0.580286i −0.0218633 0.0586177i
\(99\) −0.534200 + 0.616500i −0.0536891 + 0.0619605i
\(100\) 4.81337 1.35333i 0.481337 0.135333i
\(101\) −8.74877 + 2.56887i −0.870535 + 0.255612i −0.686343 0.727278i \(-0.740785\pi\)
−0.184192 + 0.982890i \(0.558967\pi\)
\(102\) −1.73166 0.123850i −0.171459 0.0122630i
\(103\) 4.51246 + 0.981625i 0.444626 + 0.0967224i 0.429304 0.903160i \(-0.358759\pi\)
0.0153220 + 0.999883i \(0.495123\pi\)
\(104\) 0.331111 + 0.515218i 0.0324681 + 0.0505213i
\(105\) −3.20731 2.42991i −0.313002 0.237134i
\(106\) 1.63230 + 5.55911i 0.158543 + 0.539949i
\(107\) 2.96493 + 3.96069i 0.286631 + 0.382894i 0.920628 0.390442i \(-0.127678\pi\)
−0.633997 + 0.773336i \(0.718587\pi\)
\(108\) 0.259281 + 3.62522i 0.0249493 + 0.348837i
\(109\) −3.31324 + 7.25499i −0.317351 + 0.694902i −0.999335 0.0364655i \(-0.988390\pi\)
0.681984 + 0.731367i \(0.261117\pi\)
\(110\) 0.460797 + 0.538017i 0.0439353 + 0.0512979i
\(111\) 1.43160 0.653790i 0.135882 0.0620550i
\(112\) 2.20975 + 1.65419i 0.208801 + 0.156307i
\(113\) −1.30428 5.99568i −0.122696 0.564026i −0.996915 0.0784929i \(-0.974989\pi\)
0.874218 0.485533i \(-0.161374\pi\)
\(114\) −2.10137 −0.196811
\(115\) −3.67344 + 10.0750i −0.342550 + 0.939500i
\(116\) −6.10794 −0.567108
\(117\) 0.335222 + 1.54099i 0.0309913 + 0.142465i
\(118\) −3.21625 2.40766i −0.296080 0.221643i
\(119\) −6.68646 + 3.05360i −0.612947 + 0.279923i
\(120\) 1.45341 + 0.112364i 0.132678 + 0.0102574i
\(121\) 4.52787 9.91466i 0.411625 0.901333i
\(122\) −0.771462 10.7865i −0.0698449 0.976559i
\(123\) −3.10402 4.14648i −0.279880 0.373876i
\(124\) 2.55829 + 8.71274i 0.229741 + 0.782428i
\(125\) 2.56489 10.8822i 0.229411 0.973330i
\(126\) 3.84276 + 5.97946i 0.342341 + 0.532692i
\(127\) −13.1458 2.85969i −1.16650 0.253757i −0.412704 0.910865i \(-0.635416\pi\)
−0.753796 + 0.657109i \(0.771779\pi\)
\(128\) −0.997452 0.0713392i −0.0881631 0.00630555i
\(129\) 6.53528 1.91893i 0.575399 0.168952i
\(130\) 1.36651 0.0898300i 0.119851 0.00787861i
\(131\) −7.65537 + 8.83477i −0.668853 + 0.771897i −0.984196 0.177080i \(-0.943335\pi\)
0.315344 + 0.948978i \(0.397880\pi\)
\(132\) 0.0721737 + 0.193505i 0.00628191 + 0.0168425i
\(133\) −7.80907 + 4.26408i −0.677133 + 0.369742i
\(134\) 3.19204 + 6.98959i 0.275750 + 0.603809i
\(135\) 7.37296 + 3.41856i 0.634563 + 0.294223i
\(136\) 1.43973 2.24026i 0.123456 0.192101i
\(137\) −12.9973 + 12.9973i −1.11044 + 1.11044i −0.117346 + 0.993091i \(0.537439\pi\)
−0.993091 + 0.117346i \(0.962561\pi\)
\(138\) −2.01624 + 2.38954i −0.171634 + 0.203411i
\(139\) 6.25498i 0.530540i 0.964174 + 0.265270i \(0.0854612\pi\)
−0.964174 + 0.265270i \(0.914539\pi\)
\(140\) 5.62915 2.53168i 0.475750 0.213966i
\(141\) 0.644665 + 4.48374i 0.0542906 + 0.377599i
\(142\) −2.91874 + 7.82544i −0.244935 + 0.656697i
\(143\) 0.0929832 + 0.170286i 0.00777564 + 0.0142400i
\(144\) −2.34230 1.06969i −0.195191 0.0891409i
\(145\) −6.61438 + 11.9492i −0.549294 + 0.992331i
\(146\) 1.37061 9.53277i 0.113432 0.788938i
\(147\) −0.354371 0.193501i −0.0292281 0.0159597i
\(148\) −0.172221 + 2.40797i −0.0141565 + 0.197934i
\(149\) 16.6602 10.7069i 1.36486 0.877141i 0.366283 0.930504i \(-0.380630\pi\)
0.998575 + 0.0533626i \(0.0169939\pi\)
\(150\) 1.79374 2.72170i 0.146459 0.222226i
\(151\) −3.91387 4.51685i −0.318506 0.367576i 0.573808 0.818990i \(-0.305465\pi\)
−0.892315 + 0.451413i \(0.850920\pi\)
\(152\) 1.54478 2.82905i 0.125298 0.229466i
\(153\) 5.48949 4.10938i 0.443799 0.332224i
\(154\) 0.660868 + 0.572646i 0.0532543 + 0.0461451i
\(155\) 19.8156 + 4.43025i 1.59162 + 0.355846i
\(156\) 0.383093 + 0.112486i 0.0306720 + 0.00900610i
\(157\) −13.3732 4.98794i −1.06730 0.398081i −0.246406 0.969167i \(-0.579250\pi\)
−0.820891 + 0.571085i \(0.806522\pi\)
\(158\) 4.49423 6.00359i 0.357542 0.477620i
\(159\) 3.17752 + 2.04207i 0.251994 + 0.161946i
\(160\) −1.21972 + 1.87411i −0.0964273 + 0.148161i
\(161\) −2.64390 + 12.9713i −0.208368 + 1.02228i
\(162\) −3.78697 3.78697i −0.297532 0.297532i
\(163\) 11.5926 2.52181i 0.908002 0.197524i 0.265772 0.964036i \(-0.414373\pi\)
0.642230 + 0.766512i \(0.278010\pi\)
\(164\) 7.86422 1.13070i 0.614093 0.0882932i
\(165\) 0.456721 + 0.0683528i 0.0355557 + 0.00532126i
\(166\) −0.288014 + 0.980885i −0.0223542 + 0.0761314i
\(167\) 12.5211 4.67014i 0.968914 0.361386i 0.185333 0.982676i \(-0.440664\pi\)
0.783581 + 0.621290i \(0.213391\pi\)
\(168\) 1.79493 0.128376i 0.138482 0.00990443i
\(169\) −12.4964 1.79671i −0.961262 0.138209i
\(170\) −2.82363 5.24262i −0.216562 0.402091i
\(171\) 6.27277 5.43539i 0.479691 0.415654i
\(172\) −2.22084 + 10.2090i −0.169337 + 0.778432i
\(173\) −2.47939 + 11.3976i −0.188504 + 0.866541i 0.781586 + 0.623797i \(0.214411\pi\)
−0.970091 + 0.242743i \(0.921953\pi\)
\(174\) −3.00933 + 2.60760i −0.228137 + 0.197682i
\(175\) 1.14305 13.7542i 0.0864061 1.03972i
\(176\) −0.313571 0.0450847i −0.0236363 0.00339838i
\(177\) −2.61250 + 0.186849i −0.196367 + 0.0140445i
\(178\) 3.50697 1.30803i 0.262858 0.0980410i
\(179\) 2.86500 9.75728i 0.214140 0.729293i −0.780432 0.625241i \(-0.785001\pi\)
0.994572 0.104053i \(-0.0331810\pi\)
\(180\) −4.62920 + 3.42396i −0.345040 + 0.255207i
\(181\) 17.5918 2.52932i 1.30759 0.188003i 0.546942 0.837170i \(-0.315792\pi\)
0.760646 + 0.649167i \(0.224883\pi\)
\(182\) 1.65190 0.359348i 0.122447 0.0266367i
\(183\) −4.98504 4.98504i −0.368505 0.368505i
\(184\) −1.73481 4.47107i −0.127892 0.329611i
\(185\) 4.52432 + 2.94455i 0.332635 + 0.216488i
\(186\) 4.98009 + 3.20051i 0.365158 + 0.234673i
\(187\) 0.505567 0.675358i 0.0369707 0.0493871i
\(188\) −6.51032 2.42822i −0.474814 0.177097i
\(189\) 9.62592 + 2.82642i 0.700183 + 0.205592i
\(190\) −3.86174 6.08575i −0.280160 0.441507i
\(191\) −10.0659 8.72213i −0.728341 0.631111i 0.209648 0.977777i \(-0.432768\pi\)
−0.937989 + 0.346666i \(0.887314\pi\)
\(192\) −0.521893 + 0.390684i −0.0376644 + 0.0281952i
\(193\) −11.1731 + 20.4619i −0.804255 + 1.47288i 0.0753387 + 0.997158i \(0.475996\pi\)
−0.879594 + 0.475725i \(0.842186\pi\)
\(194\) −7.88951 9.10498i −0.566434 0.653699i
\(195\) 0.634919 0.627649i 0.0454675 0.0449469i
\(196\) 0.521018 0.334838i 0.0372155 0.0239170i
\(197\) 1.16021 16.2218i 0.0826614 1.15576i −0.771668 0.636025i \(-0.780577\pi\)
0.854330 0.519732i \(-0.173968\pi\)
\(198\) −0.715963 0.390945i −0.0508813 0.0277833i
\(199\) 1.06727 7.42305i 0.0756570 0.526206i −0.916385 0.400298i \(-0.868907\pi\)
0.992042 0.125908i \(-0.0401843\pi\)
\(200\) 2.34555 + 4.41570i 0.165856 + 0.312237i
\(201\) 4.55669 + 2.08097i 0.321404 + 0.146780i
\(202\) −4.36985 8.00278i −0.307461 0.563073i
\(203\) −5.89190 + 15.7968i −0.413531 + 1.10872i
\(204\) −0.247070 1.71841i −0.0172983 0.120313i
\(205\) 6.30423 16.6096i 0.440307 1.16007i
\(206\) 4.61799i 0.321751i
\(207\) −0.162104 12.3482i −0.0112670 0.858257i
\(208\) −0.433061 + 0.433061i −0.0300274 + 0.0300274i
\(209\) 0.552068 0.859035i 0.0381874 0.0594207i
\(210\) 1.69261 3.65053i 0.116801 0.251911i
\(211\) −9.66421 21.1617i −0.665312 1.45683i −0.877488 0.479598i \(-0.840783\pi\)
0.212177 0.977231i \(-0.431945\pi\)
\(212\) −5.08510 + 2.77667i −0.349246 + 0.190703i
\(213\) 1.90280 + 5.10160i 0.130378 + 0.349556i
\(214\) −3.23993 + 3.73908i −0.221477 + 0.255598i
\(215\) 17.5674 + 15.4002i 1.19809 + 1.05029i
\(216\) −3.48725 + 1.02395i −0.237278 + 0.0696710i
\(217\) 25.0014 + 1.78813i 1.69720 + 0.121386i
\(218\) −7.79347 1.69536i −0.527840 0.114825i
\(219\) −3.39444 5.28186i −0.229375 0.356915i
\(220\) −0.427772 + 0.564630i −0.0288404 + 0.0380674i
\(221\) −0.459487 1.56487i −0.0309085 0.105265i
\(222\) 0.943158 + 1.25991i 0.0633006 + 0.0845597i
\(223\) 0.472013 + 6.59961i 0.0316083 + 0.441942i 0.988472 + 0.151405i \(0.0483796\pi\)
−0.956864 + 0.290538i \(0.906166\pi\)
\(224\) −1.14668 + 2.51087i −0.0766155 + 0.167765i
\(225\) 1.68543 + 12.7642i 0.112362 + 0.850945i
\(226\) 5.58141 2.54895i 0.371270 0.169553i
\(227\) 11.0560 + 8.27641i 0.733812 + 0.549325i 0.899536 0.436847i \(-0.143905\pi\)
−0.165724 + 0.986172i \(0.552996\pi\)
\(228\) −0.446679 2.05335i −0.0295820 0.135986i
\(229\) 22.9134 1.51416 0.757080 0.653322i \(-0.226625\pi\)
0.757080 + 0.653322i \(0.226625\pi\)
\(230\) −10.6256 1.44789i −0.700632 0.0954711i
\(231\) 0.570078 0.0375084
\(232\) −1.29834 5.96835i −0.0852399 0.391841i
\(233\) 1.89415 + 1.41794i 0.124090 + 0.0928926i 0.659520 0.751687i \(-0.270760\pi\)
−0.535430 + 0.844580i \(0.679850\pi\)
\(234\) −1.43452 + 0.655123i −0.0937775 + 0.0428267i
\(235\) −11.8006 + 10.1069i −0.769785 + 0.659301i
\(236\) 1.66897 3.65453i 0.108641 0.237890i
\(237\) −0.348781 4.87660i −0.0226558 0.316769i
\(238\) −4.40513 5.88456i −0.285542 0.381440i
\(239\) −5.05977 17.2320i −0.327290 1.11465i −0.944681 0.327990i \(-0.893629\pi\)
0.617392 0.786656i \(-0.288189\pi\)
\(240\) 0.199148 + 1.44408i 0.0128550 + 0.0932150i
\(241\) −0.312423 0.486139i −0.0201249 0.0313150i 0.831045 0.556205i \(-0.187743\pi\)
−0.851170 + 0.524890i \(0.824107\pi\)
\(242\) 10.6505 + 2.31689i 0.684643 + 0.148935i
\(243\) −14.3582 1.02692i −0.921078 0.0658768i
\(244\) 10.3760 3.04666i 0.664253 0.195042i
\(245\) −0.0908411 1.38189i −0.00580362 0.0882859i
\(246\) 3.39192 3.91448i 0.216261 0.249578i
\(247\) −0.689878 1.84964i −0.0438959 0.117689i
\(248\) −7.96983 + 4.35185i −0.506084 + 0.276343i
\(249\) 0.276857 + 0.606233i 0.0175451 + 0.0384184i
\(250\) 11.1787 + 0.193104i 0.707001 + 0.0122130i
\(251\) 3.97999 6.19299i 0.251215 0.390898i −0.692627 0.721296i \(-0.743547\pi\)
0.943842 + 0.330398i \(0.107183\pi\)
\(252\) −5.02597 + 5.02597i −0.316606 + 0.316606i
\(253\) −0.447134 1.45201i −0.0281111 0.0912871i
\(254\) 13.4532i 0.844131i
\(255\) −3.62936 1.37754i −0.227279 0.0862646i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) 2.46321 6.60411i 0.153651 0.411953i −0.837203 0.546892i \(-0.815811\pi\)
0.990854 + 0.134938i \(0.0430837\pi\)
\(258\) 3.26425 + 5.97803i 0.203223 + 0.372176i
\(259\) 6.06154 + 2.76821i 0.376646 + 0.172008i
\(260\) 0.378250 + 1.31619i 0.0234581 + 0.0816265i
\(261\) 2.23831 15.5678i 0.138548 0.963624i
\(262\) −10.2601 5.60246i −0.633873 0.346121i
\(263\) −1.27433 + 17.8175i −0.0785787 + 1.09867i 0.793261 + 0.608882i \(0.208382\pi\)
−0.871839 + 0.489792i \(0.837073\pi\)
\(264\) −0.173741 + 0.111657i −0.0106930 + 0.00687200i
\(265\) −0.0745905 + 12.9551i −0.00458206 + 0.795827i
\(266\) −5.82657 6.72422i −0.357250 0.412288i
\(267\) 1.16943 2.14165i 0.0715679 0.131067i
\(268\) −6.15134 + 4.60484i −0.375753 + 0.281285i
\(269\) −13.3924 11.6046i −0.816550 0.707545i 0.142803 0.989751i \(-0.454388\pi\)
−0.959354 + 0.282206i \(0.908934\pi\)
\(270\) −1.77320 + 7.93113i −0.107913 + 0.482673i
\(271\) 27.9409 + 8.20418i 1.69729 + 0.498368i 0.980098 0.198512i \(-0.0636109\pi\)
0.717188 + 0.696880i \(0.245429\pi\)
\(272\) 2.49510 + 0.930625i 0.151288 + 0.0564274i
\(273\) 0.660463 0.882275i 0.0399730 0.0533977i
\(274\) −15.4631 9.93752i −0.934159 0.600348i
\(275\) 0.641373 + 1.44832i 0.0386762 + 0.0873368i
\(276\) −2.76351 1.46223i −0.166344 0.0880160i
\(277\) −16.6398 16.6398i −0.999786 0.999786i 0.000213691 1.00000i \(-0.499932\pi\)
−1.00000 0.000213691i \(0.999932\pi\)
\(278\) −6.11203 + 1.32959i −0.366575 + 0.0797436i
\(279\) −23.1444 + 3.32766i −1.38562 + 0.199222i
\(280\) 3.67038 + 4.96236i 0.219347 + 0.296557i
\(281\) −6.85360 + 23.3412i −0.408852 + 1.39242i 0.455815 + 0.890075i \(0.349348\pi\)
−0.864666 + 0.502346i \(0.832470\pi\)
\(282\) −4.24424 + 1.58302i −0.252741 + 0.0942675i
\(283\) −2.22352 + 0.159029i −0.132175 + 0.00945332i −0.137270 0.990534i \(-0.543833\pi\)
0.00509507 + 0.999987i \(0.498378\pi\)
\(284\) −8.26703 1.18862i −0.490558 0.0705316i
\(285\) −4.50078 1.34974i −0.266603 0.0799519i
\(286\) −0.146629 + 0.127055i −0.00867038 + 0.00751292i
\(287\) 4.66176 21.4298i 0.275175 1.26496i
\(288\) 0.547354 2.51615i 0.0322532 0.148265i
\(289\) 7.48827 6.48862i 0.440487 0.381684i
\(290\) −13.0822 3.92322i −0.768211 0.230380i
\(291\) −7.77419 1.11776i −0.455731 0.0655243i
\(292\) 9.60626 0.687054i 0.562164 0.0402068i
\(293\) 23.9931 8.94896i 1.40169 0.522804i 0.468910 0.883246i \(-0.344647\pi\)
0.932782 + 0.360442i \(0.117374\pi\)
\(294\) 0.113752 0.387405i 0.00663417 0.0225939i
\(295\) −5.34218 7.22263i −0.311034 0.420518i
\(296\) −2.38955 + 0.343565i −0.138890 + 0.0199693i
\(297\) −1.12507 + 0.244744i −0.0652833 + 0.0142015i
\(298\) 14.0036 + 14.0036i 0.811205 + 0.811205i
\(299\) −2.76521 0.990222i −0.159916 0.0572660i
\(300\) 3.04078 + 1.17421i 0.175560 + 0.0677933i
\(301\) 24.2611 + 15.5917i 1.39839 + 0.898688i
\(302\) 3.58167 4.78455i 0.206102 0.275320i
\(303\) −5.56953 2.07733i −0.319961 0.119339i
\(304\) 3.09277 + 0.908118i 0.177382 + 0.0520841i
\(305\) 5.27596 23.5983i 0.302101 1.35123i
\(306\) 5.18234 + 4.49053i 0.296255 + 0.256706i
\(307\) −9.62496 + 7.20516i −0.549326 + 0.411220i −0.837564 0.546339i \(-0.816021\pi\)
0.288239 + 0.957559i \(0.406930\pi\)
\(308\) −0.419081 + 0.767490i −0.0238794 + 0.0437318i
\(309\) 1.97151 + 2.27525i 0.112155 + 0.129434i
\(310\) −0.116905 + 20.3044i −0.00663976 + 1.15321i
\(311\) −14.2553 + 9.16132i −0.808344 + 0.519491i −0.878329 0.478057i \(-0.841341\pi\)
0.0699851 + 0.997548i \(0.477705\pi\)
\(312\) −0.0284833 + 0.398248i −0.00161255 + 0.0225464i
\(313\) −15.6324 8.53594i −0.883596 0.482480i −0.0276933 0.999616i \(-0.508816\pi\)
−0.855903 + 0.517136i \(0.826998\pi\)
\(314\) 2.03128 14.1278i 0.114632 0.797280i
\(315\) 4.38984 + 15.2752i 0.247340 + 0.860662i
\(316\) 6.82171 + 3.11537i 0.383751 + 0.175253i
\(317\) 9.45486 + 17.3153i 0.531038 + 0.972523i 0.996183 + 0.0872888i \(0.0278203\pi\)
−0.465145 + 0.885234i \(0.653998\pi\)
\(318\) −1.31997 + 3.53897i −0.0740202 + 0.198456i
\(319\) −0.275374 1.91527i −0.0154180 0.107235i
\(320\) −2.09055 0.793475i −0.116865 0.0443566i
\(321\) 3.22540i 0.180024i
\(322\) −13.2369 + 0.173770i −0.737661 + 0.00968385i
\(323\) −6.06963 + 6.06963i −0.337723 + 0.337723i
\(324\) 2.89544 4.50540i 0.160858 0.250300i
\(325\) 2.98453 + 0.685331i 0.165552 + 0.0380153i
\(326\) 4.92836 + 10.7916i 0.272957 + 0.597692i
\(327\) −4.56356 + 2.49189i −0.252366 + 0.137802i
\(328\) 2.77653 + 7.44415i 0.153308 + 0.411035i
\(329\) −12.5601 + 14.4951i −0.692462 + 0.799143i
\(330\) 0.0302923 + 0.460813i 0.00166754 + 0.0253669i
\(331\) 17.2261 5.05804i 0.946831 0.278015i 0.228364 0.973576i \(-0.426662\pi\)
0.718467 + 0.695561i \(0.244844\pi\)
\(332\) −1.01969 0.0729297i −0.0559628 0.00400254i
\(333\) −6.07428 1.32138i −0.332869 0.0724111i
\(334\) 7.22497 + 11.2423i 0.395333 + 0.615150i
\(335\) 2.34728 + 17.0208i 0.128246 + 0.929946i
\(336\) 0.506983 + 1.72662i 0.0276582 + 0.0941951i
\(337\) 10.9903 + 14.6813i 0.598680 + 0.799743i 0.992859 0.119291i \(-0.0380620\pi\)
−0.394179 + 0.919034i \(0.628971\pi\)
\(338\) −0.900651 12.5927i −0.0489890 0.684955i
\(339\) 1.66172 3.63866i 0.0902523 0.197625i
\(340\) 4.52261 3.87350i 0.245273 0.210070i
\(341\) −2.61672 + 1.19502i −0.141703 + 0.0647138i
\(342\) 6.64455 + 4.97404i 0.359296 + 0.268966i
\(343\) 3.74384 + 17.2101i 0.202148 + 0.929260i
\(344\) −10.4478 −0.563308
\(345\) −5.85329 + 3.82292i −0.315130 + 0.205819i
\(346\) −11.6641 −0.627067
\(347\) 5.56392 + 25.5769i 0.298687 + 1.37304i 0.844689 + 0.535258i \(0.179786\pi\)
−0.546002 + 0.837784i \(0.683851\pi\)
\(348\) −3.18769 2.38627i −0.170878 0.127918i
\(349\) 20.3982 9.31555i 1.09189 0.498650i 0.213671 0.976906i \(-0.431458\pi\)
0.878221 + 0.478256i \(0.158731\pi\)
\(350\) 13.6828 1.80673i 0.731377 0.0965739i
\(351\) −0.924674 + 2.02475i −0.0493554 + 0.108073i
\(352\) −0.0225999 0.315988i −0.00120458 0.0168422i
\(353\) −7.54025 10.0726i −0.401327 0.536110i 0.553666 0.832739i \(-0.313229\pi\)
−0.954993 + 0.296629i \(0.904138\pi\)
\(354\) −0.737905 2.51307i −0.0392192 0.133568i
\(355\) −11.2778 + 14.8860i −0.598566 + 0.790067i
\(356\) 2.02360 + 3.14878i 0.107250 + 0.166885i
\(357\) −4.68261 1.01864i −0.247830 0.0539121i
\(358\) 10.1433 + 0.725463i 0.536090 + 0.0383419i
\(359\) −20.2928 + 5.95851i −1.07101 + 0.314478i −0.769279 0.638914i \(-0.779384\pi\)
−0.301736 + 0.953392i \(0.597566\pi\)
\(360\) −4.32972 3.79559i −0.228196 0.200045i
\(361\) 5.63843 6.50709i 0.296759 0.342479i
\(362\) 6.21092 + 16.6521i 0.326439 + 0.875216i
\(363\) 6.23656 3.40542i 0.327335 0.178738i
\(364\) 0.702272 + 1.53776i 0.0368090 + 0.0806006i
\(365\) 9.05865 19.5372i 0.474151 1.02262i
\(366\) 3.81147 5.93077i 0.199229 0.310006i
\(367\) −13.6323 + 13.6323i −0.711598 + 0.711598i −0.966869 0.255271i \(-0.917835\pi\)
0.255271 + 0.966869i \(0.417835\pi\)
\(368\) 4.00013 2.64556i 0.208521 0.137909i
\(369\) 20.4586i 1.06503i
\(370\) −1.91554 + 5.04684i −0.0995844 + 0.262373i
\(371\) 2.27600 + 15.8299i 0.118164 + 0.821849i
\(372\) −2.06877 + 5.54660i −0.107261 + 0.287578i
\(373\) 0.0233634 + 0.0427868i 0.00120971 + 0.00221542i 0.878283 0.478141i \(-0.158689\pi\)
−0.877073 + 0.480356i \(0.840507\pi\)
\(374\) 0.767390 + 0.350455i 0.0396808 + 0.0181216i
\(375\) 5.59008 4.67726i 0.288670 0.241532i
\(376\) 0.988864 6.87770i 0.0509968 0.354690i
\(377\) −3.28318 1.79275i −0.169092 0.0923314i
\(378\) −0.715696 + 10.0067i −0.0368114 + 0.514691i
\(379\) −11.0138 + 7.07816i −0.565742 + 0.363580i −0.792032 0.610480i \(-0.790977\pi\)
0.226290 + 0.974060i \(0.427340\pi\)
\(380\) 5.12580 5.06711i 0.262948 0.259937i
\(381\) −5.74345 6.62830i −0.294246 0.339578i
\(382\) 6.38315 11.6899i 0.326590 0.598105i
\(383\) −21.6338 + 16.1948i −1.10543 + 0.827517i −0.986234 0.165353i \(-0.947124\pi\)
−0.119199 + 0.992870i \(0.538033\pi\)
\(384\) −0.492692 0.426920i −0.0251426 0.0217862i
\(385\) 1.04765 + 1.65100i 0.0533931 + 0.0841425i
\(386\) −22.3693 6.56823i −1.13857 0.334314i
\(387\) −25.2068 9.40164i −1.28133 0.477912i
\(388\) 7.21987 9.64461i 0.366533 0.489631i
\(389\) −10.3405 6.64544i −0.524285 0.336937i 0.251580 0.967836i \(-0.419050\pi\)
−0.775865 + 0.630899i \(0.782686\pi\)
\(390\) 0.748267 + 0.486992i 0.0378900 + 0.0246598i
\(391\) 1.07823 + 12.7257i 0.0545287 + 0.643568i
\(392\) 0.437936 + 0.437936i 0.0221191 + 0.0221191i
\(393\) −7.44688 + 1.61997i −0.375646 + 0.0817167i
\(394\) 16.0977 2.31450i 0.810991 0.116603i
\(395\) 13.4821 9.97196i 0.678357 0.501744i
\(396\) 0.229822 0.782702i 0.0115490 0.0393323i
\(397\) −7.42520 + 2.76946i −0.372660 + 0.138995i −0.528814 0.848738i \(-0.677363\pi\)
0.156154 + 0.987733i \(0.450090\pi\)
\(398\) 7.48027 0.535000i 0.374952 0.0268171i
\(399\) −5.74140 0.825489i −0.287430 0.0413262i
\(400\) −3.81620 + 3.23057i −0.190810 + 0.161529i
\(401\) 10.5343 9.12804i 0.526059 0.455832i −0.350890 0.936417i \(-0.614121\pi\)
0.876948 + 0.480584i \(0.159575\pi\)
\(402\) −1.06482 + 4.89489i −0.0531083 + 0.244135i
\(403\) −1.18214 + 5.43422i −0.0588867 + 0.270698i
\(404\) 6.89101 5.97109i 0.342841 0.297073i
\(405\) −5.67861 10.5435i −0.282172 0.523909i
\(406\) −16.6882 2.39940i −0.828222 0.119080i
\(407\) −0.762833 + 0.0545589i −0.0378122 + 0.00270438i
\(408\) 1.62662 0.606697i 0.0805296 0.0300360i
\(409\) 0.412691 1.40550i 0.0204062 0.0694973i −0.948660 0.316296i \(-0.897561\pi\)
0.969067 + 0.246799i \(0.0793788\pi\)
\(410\) 17.5701 + 2.62954i 0.867725 + 0.129864i
\(411\) −11.8611 + 1.70536i −0.585063 + 0.0841193i
\(412\) −4.51246 + 0.981625i −0.222313 + 0.0483612i
\(413\) −7.84169 7.84169i −0.385864 0.385864i
\(414\) 12.0315 2.78319i 0.591317 0.136786i
\(415\) −1.24691 + 1.91589i −0.0612086 + 0.0940474i
\(416\) −0.515218 0.331111i −0.0252607 0.0162340i
\(417\) −2.44372 + 3.26443i −0.119669 + 0.159860i
\(418\) 0.956754 + 0.356851i 0.0467964 + 0.0174541i
\(419\) −0.132001 0.0387591i −0.00644868 0.00189350i 0.278507 0.960434i \(-0.410161\pi\)
−0.284955 + 0.958541i \(0.591979\pi\)
\(420\) 3.92690 + 0.877953i 0.191613 + 0.0428397i
\(421\) 25.0172 + 21.6775i 1.21926 + 1.05650i 0.996666 + 0.0815888i \(0.0259994\pi\)
0.222599 + 0.974910i \(0.428546\pi\)
\(422\) 18.6238 13.9416i 0.906591 0.678666i
\(423\) 8.57479 15.7036i 0.416921 0.763533i
\(424\) −3.79413 4.37866i −0.184259 0.212647i
\(425\) −2.68031 13.0425i −0.130014 0.632652i
\(426\) −4.58054 + 2.94374i −0.221928 + 0.142625i
\(427\) 2.12948 29.7740i 0.103053 1.44086i
\(428\) −4.34232 2.37109i −0.209894 0.114611i
\(429\) −0.0180008 + 0.125198i −0.000869085 + 0.00604462i
\(430\) −11.3141 + 20.4395i −0.545613 + 0.985681i
\(431\) −28.8071 13.1558i −1.38759 0.633691i −0.425135 0.905130i \(-0.639773\pi\)
−0.962456 + 0.271439i \(0.912501\pi\)
\(432\) −1.74182 3.18990i −0.0838033 0.153474i
\(433\) 12.9645 34.7592i 0.623034 1.67042i −0.113100 0.993584i \(-0.536078\pi\)
0.736134 0.676836i \(-0.236649\pi\)
\(434\) 3.56715 + 24.8101i 0.171229 + 1.19092i
\(435\) −8.12037 + 3.65209i −0.389342 + 0.175104i
\(436\) 7.97574i 0.381969i
\(437\) 2.40065 + 15.2710i 0.114839 + 0.730512i
\(438\) 4.43961 4.43961i 0.212133 0.212133i
\(439\) 5.37599 8.36521i 0.256582 0.399250i −0.688934 0.724824i \(-0.741921\pi\)
0.945517 + 0.325574i \(0.105558\pi\)
\(440\) −0.642656 0.297975i −0.0306374 0.0142054i
\(441\) 0.662497 + 1.45067i 0.0315475 + 0.0690793i
\(442\) 1.43144 0.781624i 0.0680865 0.0371781i
\(443\) −13.5142 36.2330i −0.642079 1.72148i −0.691175 0.722688i \(-0.742907\pi\)
0.0490953 0.998794i \(-0.484366\pi\)
\(444\) −1.03064 + 1.18942i −0.0489118 + 0.0564472i
\(445\) 8.35149 0.549000i 0.395899 0.0260251i
\(446\) −6.34845 + 1.86407i −0.300608 + 0.0882664i
\(447\) 12.8778 + 0.921042i 0.609101 + 0.0435638i
\(448\) −2.69723 0.586747i −0.127432 0.0277212i
\(449\) −10.0638 15.6596i −0.474941 0.739022i 0.518287 0.855207i \(-0.326570\pi\)
−0.993228 + 0.116185i \(0.962934\pi\)
\(450\) −12.1142 + 4.36014i −0.571069 + 0.205539i
\(451\) 0.709112 + 2.41501i 0.0333908 + 0.113718i
\(452\) 3.67711 + 4.91204i 0.172957 + 0.231043i
\(453\) −0.277961 3.88640i −0.0130597 0.182599i
\(454\) −5.73715 + 12.5626i −0.269258 + 0.589592i
\(455\) 3.76889 + 0.291376i 0.176689 + 0.0136599i
\(456\) 1.91147 0.872941i 0.0895130 0.0408792i
\(457\) −3.96387 2.96732i −0.185422 0.138805i 0.502534 0.864557i \(-0.332401\pi\)
−0.687956 + 0.725752i \(0.741492\pi\)
\(458\) 4.87059 + 22.3898i 0.227588 + 1.04620i
\(459\) 9.67863 0.451760
\(460\) −0.843833 10.6906i −0.0393439 0.498450i
\(461\) 19.7385 0.919315 0.459658 0.888096i \(-0.347972\pi\)
0.459658 + 0.888096i \(0.347972\pi\)
\(462\) 0.121179 + 0.557050i 0.00563775 + 0.0259163i
\(463\) 11.3553 + 8.50050i 0.527727 + 0.395052i 0.829653 0.558280i \(-0.188538\pi\)
−0.301925 + 0.953332i \(0.597629\pi\)
\(464\) 5.55597 2.53733i 0.257930 0.117793i
\(465\) 8.61077 + 10.0537i 0.399315 + 0.466231i
\(466\) −0.982909 + 2.15227i −0.0455324 + 0.0997020i
\(467\) −1.55348 21.7205i −0.0718864 1.00510i −0.897542 0.440929i \(-0.854649\pi\)
0.825656 0.564174i \(-0.190805\pi\)
\(468\) −0.945081 1.26248i −0.0436864 0.0583582i
\(469\) 5.97560 + 20.3510i 0.275928 + 0.939723i
\(470\) −12.3843 9.38252i −0.571246 0.432784i
\(471\) −5.03066 7.82786i −0.231801 0.360689i
\(472\) 3.92578 + 0.854001i 0.180699 + 0.0393086i
\(473\) −3.30138 0.236119i −0.151798 0.0108568i
\(474\) 4.69102 1.37741i 0.215465 0.0632664i
\(475\) −4.36223 15.5151i −0.200153 0.711881i
\(476\) 4.81371 5.55531i 0.220636 0.254627i
\(477\) −5.21366 13.9784i −0.238717 0.640025i
\(478\) 15.7627 8.60707i 0.720968 0.393678i
\(479\) 12.6195 + 27.6329i 0.576600 + 1.26258i 0.943208 + 0.332203i \(0.107792\pi\)
−0.366608 + 0.930376i \(0.619481\pi\)
\(480\) −1.36875 + 0.501558i −0.0624745 + 0.0228929i
\(481\) −0.799341 + 1.24380i −0.0364468 + 0.0567123i
\(482\) 0.408619 0.408619i 0.0186121 0.0186121i
\(483\) −6.44751 + 5.73669i −0.293372 + 0.261029i
\(484\) 10.8996i 0.495438i
\(485\) −11.0497 24.5689i −0.501742 1.11561i
\(486\) −2.04860 14.2483i −0.0929265 0.646318i
\(487\) 6.95752 18.6538i 0.315275 0.845286i −0.678573 0.734533i \(-0.737401\pi\)
0.993848 0.110753i \(-0.0353262\pi\)
\(488\) 5.18260 + 9.49122i 0.234605 + 0.429648i
\(489\) 7.03532 + 3.21292i 0.318148 + 0.145293i
\(490\) 1.33100 0.382507i 0.0601285 0.0172799i
\(491\) 4.55533 31.6830i 0.205579 1.42984i −0.581782 0.813344i \(-0.697644\pi\)
0.787362 0.616491i \(-0.211446\pi\)
\(492\) 4.54603 + 2.48232i 0.204951 + 0.111912i
\(493\) −1.16037 + 16.2240i −0.0522602 + 0.730693i
\(494\) 1.66072 1.06728i 0.0747194 0.0480192i
\(495\) −1.28236 1.29721i −0.0576378 0.0583053i
\(496\) −5.94651 6.86264i −0.267006 0.308142i
\(497\) −11.0487 + 20.2342i −0.495603 + 0.907630i
\(498\) −0.533528 + 0.399394i −0.0239080 + 0.0178973i
\(499\) −25.6825 22.2540i −1.14971 0.996227i −0.999972 0.00750072i \(-0.997612\pi\)
−0.149735 0.988726i \(-0.547842\pi\)
\(500\) 2.18751 + 10.9643i 0.0978283 + 0.490336i
\(501\) 8.35923 + 2.45449i 0.373463 + 0.109659i
\(502\) 6.89747 + 2.57262i 0.307849 + 0.114822i
\(503\) −11.5785 + 15.4671i −0.516261 + 0.689645i −0.980601 0.196012i \(-0.937201\pi\)
0.464340 + 0.885657i \(0.346292\pi\)
\(504\) −5.97946 3.84276i −0.266346 0.171170i
\(505\) −4.21916 19.9474i −0.187750 0.887647i
\(506\) 1.32378 0.745562i 0.0588493 0.0331443i
\(507\) −5.81984 5.81984i −0.258468 0.258468i
\(508\) 13.1458 2.85969i 0.583250 0.126878i
\(509\) 4.65529 0.669329i 0.206342 0.0296675i −0.0383687 0.999264i \(-0.512216\pi\)
0.244711 + 0.969596i \(0.421307\pi\)
\(510\) 0.574579 3.83923i 0.0254428 0.170004i
\(511\) 7.48959 25.5072i 0.331320 1.12837i
\(512\) 0.936950 0.349464i 0.0414077 0.0154443i
\(513\) 11.6853 0.835748i 0.515918 0.0368992i
\(514\) 6.97678 + 1.00311i 0.307733 + 0.0442453i
\(515\) −2.96621 + 9.89095i −0.130707 + 0.435847i
\(516\) −5.14754 + 4.46037i −0.226608 + 0.196357i
\(517\) 0.467904 2.15092i 0.0205784 0.0945974i
\(518\) −1.41648 + 6.51144i −0.0622364 + 0.286096i
\(519\) −5.74682 + 4.97965i −0.252257 + 0.218582i
\(520\) −1.20571 + 0.649381i −0.0528737 + 0.0284773i
\(521\) −18.1659 2.61186i −0.795861 0.114428i −0.267623 0.963524i \(-0.586238\pi\)
−0.528238 + 0.849096i \(0.677147\pi\)
\(522\) 15.6878 1.12202i 0.686638 0.0491093i
\(523\) 13.2959 4.95911i 0.581389 0.216847i −0.0415246 0.999137i \(-0.513221\pi\)
0.622914 + 0.782291i \(0.285949\pi\)
\(524\) 3.29347 11.2165i 0.143876 0.489997i
\(525\) 5.97007 6.73162i 0.260555 0.293792i
\(526\) −17.6812 + 2.54217i −0.770937 + 0.110844i
\(527\) 23.6290 5.14017i 1.02929 0.223909i
\(528\) −0.146036 0.146036i −0.00635542 0.00635542i
\(529\) 19.6686 + 11.9225i 0.855156 + 0.518371i
\(530\) −12.6749 + 2.68092i −0.550563 + 0.116452i
\(531\) 8.70301 + 5.59308i 0.377678 + 0.242719i
\(532\) 5.33202 7.12275i 0.231172 0.308810i
\(533\) 4.55911 + 1.70046i 0.197477 + 0.0736550i
\(534\) 2.34129 + 0.687464i 0.101317 + 0.0297495i
\(535\) −9.34104 + 5.92741i −0.403848 + 0.256264i
\(536\) −5.80716 5.03193i −0.250831 0.217346i
\(537\) 5.30723 3.97294i 0.229024 0.171445i
\(538\) 8.49263 15.5531i 0.366143 0.670542i
\(539\) 0.128485 + 0.148280i 0.00553425 + 0.00638686i
\(540\) −8.12680 0.0467909i −0.349722 0.00201356i
\(541\) −21.1489 + 13.5916i −0.909263 + 0.584348i −0.909524 0.415652i \(-0.863553\pi\)
0.000260505 1.00000i \(0.499917\pi\)
\(542\) −2.07743 + 29.0462i −0.0892332 + 1.24764i
\(543\) 10.1692 + 5.55280i 0.436402 + 0.238293i
\(544\) −0.378985 + 2.63590i −0.0162489 + 0.113013i
\(545\) −15.6033 8.63704i −0.668372 0.369970i
\(546\) 1.00250 + 0.457828i 0.0429032 + 0.0195932i
\(547\) 1.42507 + 2.60982i 0.0609315 + 0.111588i 0.906370 0.422486i \(-0.138842\pi\)
−0.845438 + 0.534074i \(0.820661\pi\)
\(548\) 6.42350 17.2221i 0.274398 0.735691i
\(549\) 3.96290 + 27.5626i 0.169132 + 1.17634i
\(550\) −1.27888 + 0.934577i −0.0545318 + 0.0398505i
\(551\) 19.6879i 0.838734i
\(552\) 0.841389 3.01118i 0.0358119 0.128164i
\(553\) 14.6376 14.6376i 0.622456 0.622456i
\(554\) 12.7225 19.7965i 0.540525 0.841074i
\(555\) 1.21082 + 3.30432i 0.0513965 + 0.140261i
\(556\) −2.59841 5.68973i −0.110197 0.241298i
\(557\) −6.99149 + 3.81764i −0.296239 + 0.161759i −0.620494 0.784211i \(-0.713068\pi\)
0.324256 + 0.945970i \(0.394886\pi\)
\(558\) −8.17132 21.9081i −0.345919 0.927446i
\(559\) −4.19023 + 4.83579i −0.177228 + 0.204532i
\(560\) −4.06875 + 4.64133i −0.171936 + 0.196132i
\(561\) 0.527703 0.154948i 0.0222797 0.00654190i
\(562\) −24.2646 1.73544i −1.02354 0.0732052i
\(563\) 14.8037 + 3.22035i 0.623901 + 0.135721i 0.513393 0.858154i \(-0.328388\pi\)
0.110509 + 0.993875i \(0.464752\pi\)
\(564\) −2.44902 3.81075i −0.103122 0.160462i
\(565\) 13.5917 1.87438i 0.571805 0.0788557i
\(566\) −0.628039 2.13890i −0.0263984 0.0899049i
\(567\) −8.85917 11.8345i −0.372050 0.497001i
\(568\) −0.595828 8.33076i −0.0250004 0.349551i
\(569\) −8.90868 + 19.5073i −0.373471 + 0.817788i 0.625813 + 0.779973i \(0.284767\pi\)
−0.999285 + 0.0378154i \(0.987960\pi\)
\(570\) 0.362188 4.68483i 0.0151704 0.196226i
\(571\) −13.1374 + 5.99965i −0.549783 + 0.251077i −0.670883 0.741563i \(-0.734085\pi\)
0.121101 + 0.992640i \(0.461358\pi\)
\(572\) −0.155320 0.116271i −0.00649425 0.00486153i
\(573\) −1.84571 8.48459i −0.0771056 0.354449i
\(574\) 21.9310 0.915380
\(575\) −21.8282 9.92613i −0.910300 0.413948i
\(576\) 2.57499 0.107291
\(577\) 8.48076 + 38.9854i 0.353059 + 1.62298i 0.720860 + 0.693080i \(0.243747\pi\)
−0.367802 + 0.929904i \(0.619889\pi\)
\(578\) 7.93208 + 5.93788i 0.329931 + 0.246983i
\(579\) −13.8253 + 6.31380i −0.574560 + 0.262393i
\(580\) 1.05275 13.6171i 0.0437131 0.565420i
\(581\) −1.17224 + 2.56685i −0.0486328 + 0.106491i
\(582\) −0.560308 7.83413i −0.0232255 0.324735i
\(583\) −1.09994 1.46935i −0.0455550 0.0608543i
\(584\) 2.71331 + 9.24069i 0.112278 + 0.382382i
\(585\) −3.49329 + 0.481748i −0.144430 + 0.0199178i
\(586\) 13.8445 + 21.5425i 0.571913 + 0.889914i
\(587\) 20.2464 + 4.40434i 0.835659 + 0.181786i 0.609981 0.792416i \(-0.291177\pi\)
0.225677 + 0.974202i \(0.427541\pi\)
\(588\) 0.402731 + 0.0288039i 0.0166083 + 0.00118785i
\(589\) 28.0841 8.24623i 1.15718 0.339780i
\(590\) 5.92201 6.75538i 0.243805 0.278115i
\(591\) 6.94311 8.01277i 0.285601 0.329601i
\(592\) −0.843648 2.26191i −0.0346737 0.0929639i
\(593\) −31.5118 + 17.2067i −1.29403 + 0.706596i −0.970838 0.239737i \(-0.922939\pi\)
−0.323195 + 0.946332i \(0.604757\pi\)
\(594\) −0.478302 1.04734i −0.0196250 0.0429727i
\(595\) −5.65529 15.4332i −0.231844 0.632700i
\(596\) −10.7069 + 16.6602i −0.438570 + 0.682429i
\(597\) 3.45707 3.45707i 0.141488 0.141488i
\(598\) 0.379804 2.91251i 0.0155313 0.119101i
\(599\) 45.2263i 1.84790i 0.382517 + 0.923948i \(0.375057\pi\)
−0.382517 + 0.923948i \(0.624943\pi\)
\(600\) −0.501014 + 3.22089i −0.0204538 + 0.131492i
\(601\) 5.82478 + 40.5122i 0.237598 + 1.65253i 0.663807 + 0.747904i \(0.268940\pi\)
−0.426209 + 0.904625i \(0.640151\pi\)
\(602\) −10.0783 + 27.0209i −0.410760 + 1.10129i
\(603\) −9.48251 17.3659i −0.386158 0.707195i
\(604\) 5.43655 + 2.48279i 0.221210 + 0.101023i
\(605\) 21.3235 + 11.8034i 0.866923 + 0.479876i
\(606\) 0.845965 5.88382i 0.0343650 0.239014i
\(607\) 0.389892 + 0.212897i 0.0158252 + 0.00864123i 0.487142 0.873323i \(-0.338039\pi\)
−0.471317 + 0.881964i \(0.656221\pi\)
\(608\) −0.229950 + 3.21512i −0.00932570 + 0.130390i
\(609\) −9.24650 + 5.94236i −0.374687 + 0.240797i
\(610\) 24.1804 + 0.139222i 0.979038 + 0.00563692i
\(611\) −2.78676 3.21609i −0.112740 0.130109i
\(612\) −3.28632 + 6.01844i −0.132842 + 0.243281i
\(613\) 29.4122 22.0177i 1.18795 0.889285i 0.192193 0.981357i \(-0.438440\pi\)
0.995752 + 0.0920719i \(0.0293490\pi\)
\(614\) −9.08643 7.87344i −0.366698 0.317746i
\(615\) 9.77924 6.20547i 0.394337 0.250229i
\(616\) −0.839033 0.246362i −0.0338056 0.00992622i
\(617\) −9.62779 3.59098i −0.387600 0.144567i 0.148107 0.988971i \(-0.452682\pi\)
−0.535707 + 0.844404i \(0.679955\pi\)
\(618\) −1.80418 + 2.41010i −0.0725746 + 0.0969483i
\(619\) 15.7999 + 10.1540i 0.635053 + 0.408124i 0.818177 0.574966i \(-0.194985\pi\)
−0.183124 + 0.983090i \(0.558621\pi\)
\(620\) −19.8653 + 4.20179i −0.797808 + 0.168748i
\(621\) 10.2615 14.0896i 0.411782 0.565397i
\(622\) −11.9821 11.9821i −0.480440 0.480440i
\(623\) 10.0956 2.19617i 0.404473 0.0879877i
\(624\) −0.395202 + 0.0568214i −0.0158207 + 0.00227468i
\(625\) 23.8188 + 7.59383i 0.952751 + 0.303753i
\(626\) 5.01796 17.0896i 0.200558 0.683038i
\(627\) 0.623731 0.232640i 0.0249094 0.00929074i
\(628\) 14.2367 1.01823i 0.568108 0.0406319i
\(629\) 6.36338 + 0.914915i 0.253724 + 0.0364801i
\(630\) −13.9930 + 7.53651i −0.557495 + 0.300262i
\(631\) 3.05021 2.64302i 0.121427 0.105217i −0.592031 0.805915i \(-0.701674\pi\)
0.713458 + 0.700698i \(0.247128\pi\)
\(632\) −1.59412 + 7.32803i −0.0634105 + 0.291494i
\(633\) 3.22384 14.8198i 0.128136 0.589033i
\(634\) −14.9098 + 12.9194i −0.592144 + 0.513095i
\(635\) 8.64122 28.8145i 0.342916 1.14347i
\(636\) −3.73868 0.537541i −0.148248 0.0213149i
\(637\) 0.378340 0.0270594i 0.0149904 0.00107213i
\(638\) 1.81296 0.676201i 0.0717760 0.0267711i
\(639\) 6.05907 20.6353i 0.239693 0.816320i
\(640\) 0.330964 2.21144i 0.0130825 0.0874148i
\(641\) −37.1849 + 5.34639i −1.46872 + 0.211170i −0.829780 0.558090i \(-0.811534\pi\)
−0.638936 + 0.769260i \(0.720625\pi\)
\(642\) −3.15169 + 0.685609i −0.124387 + 0.0270588i
\(643\) 12.6523 + 12.6523i 0.498957 + 0.498957i 0.911113 0.412156i \(-0.135224\pi\)
−0.412156 + 0.911113i \(0.635224\pi\)
\(644\) −2.98350 12.8974i −0.117566 0.508230i
\(645\) 3.15169 + 14.9006i 0.124098 + 0.586710i
\(646\) −7.22111 4.64073i −0.284111 0.182587i
\(647\) −1.81752 + 2.42792i −0.0714539 + 0.0954512i −0.834844 0.550486i \(-0.814442\pi\)
0.763390 + 0.645937i \(0.223533\pi\)
\(648\) 5.01791 + 1.87158i 0.197122 + 0.0735227i
\(649\) 1.22120 + 0.358576i 0.0479363 + 0.0140754i
\(650\) −0.0352608 + 3.06200i −0.00138304 + 0.120102i
\(651\) 12.3494 + 10.7008i 0.484012 + 0.419399i
\(652\) −9.49739 + 7.10966i −0.371947 + 0.278436i
\(653\) −7.38259 + 13.5202i −0.288903 + 0.529087i −0.981313 0.192418i \(-0.938367\pi\)
0.692410 + 0.721504i \(0.256549\pi\)
\(654\) −3.40500 3.92958i −0.133146 0.153659i
\(655\) −18.3769 18.5897i −0.718045 0.726361i
\(656\) −6.68384 + 4.29544i −0.260960 + 0.167709i
\(657\) −1.76916 + 24.7361i −0.0690215 + 0.965046i
\(658\) −16.8337 9.19191i −0.656247 0.358338i
\(659\) −4.87682 + 33.9190i −0.189974 + 1.32130i 0.642095 + 0.766625i \(0.278066\pi\)
−0.832069 + 0.554673i \(0.812844\pi\)
\(660\) −0.443843 + 0.127553i −0.0172766 + 0.00496499i
\(661\) −34.1974 15.6174i −1.33012 0.607447i −0.381651 0.924306i \(-0.624645\pi\)
−0.948473 + 0.316859i \(0.897372\pi\)
\(662\) 8.60411 + 15.7573i 0.334408 + 0.612423i
\(663\) 0.371567 0.996209i 0.0144304 0.0386895i
\(664\) −0.145488 1.01189i −0.00564602 0.0392689i
\(665\) −8.16044 18.1446i −0.316448 0.703618i
\(666\) 6.21634i 0.240878i
\(667\) 22.3878 + 18.8903i 0.866859 + 0.731437i
\(668\) −9.44957 + 9.44957i −0.365615 + 0.365615i
\(669\) −2.33202 + 3.62869i −0.0901611 + 0.140293i
\(670\) −16.1329 + 5.91167i −0.623267 + 0.228388i
\(671\) 1.42314 + 3.11624i 0.0549397 + 0.120301i
\(672\) −1.57940 + 0.862417i −0.0609266 + 0.0332684i
\(673\) −6.43685 17.2579i −0.248122 0.665241i −0.999982 0.00591883i \(-0.998116\pi\)
0.751860 0.659322i \(-0.229157\pi\)
\(674\) −12.0097 + 13.8599i −0.462595 + 0.533863i
\(675\) −8.89217 + 15.8482i −0.342260 + 0.609997i
\(676\) 12.1135 3.55685i 0.465905 0.136802i
\(677\) 6.56309 + 0.469401i 0.252240 + 0.0180406i 0.196887 0.980426i \(-0.436917\pi\)
0.0553533 + 0.998467i \(0.482371\pi\)
\(678\) 3.90873 + 0.850292i 0.150114 + 0.0326553i
\(679\) −17.9791 27.9761i −0.689975 1.07362i
\(680\) 4.74633 + 3.59588i 0.182013 + 0.137896i
\(681\) 2.53658 + 8.63880i 0.0972019 + 0.331039i
\(682\) −1.72393 2.30290i −0.0660127 0.0881827i
\(683\) 2.40500 + 33.6263i 0.0920248 + 1.28667i 0.808264 + 0.588820i \(0.200407\pi\)
−0.716239 + 0.697855i \(0.754138\pi\)
\(684\) −3.44797 + 7.55001i −0.131837 + 0.288682i
\(685\) −26.7363 31.2166i −1.02154 1.19273i
\(686\) −16.0210 + 7.31656i −0.611685 + 0.279347i
\(687\) 11.9583 + 8.95189i 0.456239 + 0.341536i
\(688\) −2.22084 10.2090i −0.0846687 0.389216i
\(689\) −3.54836 −0.135182
\(690\) −4.97976 4.90690i −0.189576 0.186802i
\(691\) −11.7111 −0.445510 −0.222755 0.974874i \(-0.571505\pi\)
−0.222755 + 0.974874i \(0.571505\pi\)
\(692\) −2.47939 11.3976i −0.0942522 0.433270i
\(693\) −1.80259 1.34940i −0.0684748 0.0512596i
\(694\) −23.8097 + 10.8735i −0.903805 + 0.412754i
\(695\) −13.9449 1.07810i −0.528962 0.0408945i
\(696\) 1.65415 3.62208i 0.0627003 0.137294i
\(697\) −1.50938 21.1039i −0.0571719 0.799368i
\(698\) 13.4386 + 17.9519i 0.508659 + 0.679489i
\(699\) 0.434576 + 1.48003i 0.0164372 + 0.0559799i
\(700\) 4.67393 + 12.9861i 0.176658 + 0.490827i
\(701\) 7.90767 + 12.3046i 0.298669 + 0.464737i 0.957859 0.287239i \(-0.0927373\pi\)
−0.659191 + 0.751976i \(0.729101\pi\)
\(702\) −2.17503 0.473150i −0.0820914 0.0178579i
\(703\) 7.76169 + 0.555127i 0.292738 + 0.0209370i
\(704\) 0.303963 0.0892515i 0.0114560 0.00336379i
\(705\) −10.1072 + 0.664417i −0.380660 + 0.0250234i
\(706\) 8.23961 9.50902i 0.310102 0.357877i
\(707\) −8.79561 23.5820i −0.330793 0.886891i
\(708\) 2.29879 1.25523i 0.0863938 0.0471746i
\(709\) −0.106146 0.232428i −0.00398641 0.00872901i 0.907628 0.419775i \(-0.137891\pi\)
−0.911615 + 0.411046i \(0.865164\pi\)
\(710\) −16.9431 7.85586i −0.635863 0.294825i
\(711\) −10.4403 + 16.2454i −0.391542 + 0.609251i
\(712\) −2.64667 + 2.64667i −0.0991883 + 0.0991883i
\(713\) 17.5693 39.8475i 0.657976 1.49230i
\(714\) 4.79212i 0.179341i
\(715\) −0.395664 + 0.177948i −0.0147970 + 0.00665488i
\(716\) 1.44723 + 10.0657i 0.0540855 + 0.376173i
\(717\) 4.09161 10.9700i 0.152804 0.409683i
\(718\) −10.1359 18.5625i −0.378268 0.692746i
\(719\) 11.2789 + 5.15090i 0.420632 + 0.192096i 0.614475 0.788936i \(-0.289368\pi\)
−0.193843 + 0.981033i \(0.562095\pi\)
\(720\) 2.78850 5.03758i 0.103921 0.187740i
\(721\) −1.81410 + 12.6174i −0.0675607 + 0.469895i
\(722\) 7.55692 + 4.12639i 0.281239 + 0.153568i
\(723\) 0.0268757 0.375771i 0.000999517 0.0139751i
\(724\) −14.9513 + 9.60865i −0.555662 + 0.357103i
\(725\) −25.4998 16.8057i −0.947039 0.624150i
\(726\) 4.65327 + 5.37016i 0.172699 + 0.199305i
\(727\) −14.7751 + 27.0585i −0.547977 + 1.00355i 0.446112 + 0.894977i \(0.352808\pi\)
−0.994089 + 0.108568i \(0.965373\pi\)
\(728\) −1.35334 + 1.01310i −0.0501581 + 0.0375479i
\(729\) 5.05020 + 4.37602i 0.187044 + 0.162075i
\(730\) 21.0163 + 4.69870i 0.777847 + 0.173907i
\(731\) 26.6955 + 7.83852i 0.987370 + 0.289918i
\(732\) 6.60542 + 2.46369i 0.244143 + 0.0910607i
\(733\) −27.7729 + 37.1002i −1.02581 + 1.37033i −0.0988817 + 0.995099i \(0.531527\pi\)
−0.926932 + 0.375228i \(0.877564\pi\)
\(734\) −16.2185 10.4230i −0.598634 0.384719i
\(735\) 0.492474 0.756689i 0.0181652 0.0279109i
\(736\) 3.43539 + 3.34636i 0.126630 + 0.123348i
\(737\) −1.72127 1.72127i −0.0634039 0.0634039i
\(738\) −19.9910 + 4.34878i −0.735880 + 0.160081i
\(739\) 11.5958 1.66723i 0.426559 0.0613300i 0.0743078 0.997235i \(-0.476325\pi\)
0.352251 + 0.935905i \(0.385416\pi\)
\(740\) −5.33868 0.798985i −0.196254 0.0293713i
\(741\) 0.362580 1.23484i 0.0133197 0.0453628i
\(742\) −14.9844 + 5.58888i −0.550093 + 0.205174i
\(743\) 19.6035 1.40207i 0.719182 0.0514369i 0.293049 0.956097i \(-0.405330\pi\)
0.426133 + 0.904660i \(0.359875\pi\)
\(744\) −5.85959 0.842482i −0.214823 0.0308869i
\(745\) 20.9985 + 38.9880i 0.769327 + 1.42841i
\(746\) −0.0368427 + 0.0319244i −0.00134891 + 0.00116884i
\(747\) 0.559558 2.57225i 0.0204731 0.0941135i
\(748\) −0.179326 + 0.824348i −0.00655680 + 0.0301411i
\(749\) −10.3210 + 8.94322i −0.377122 + 0.326778i
\(750\) 5.75862 + 4.46811i 0.210275 + 0.163152i
\(751\) 40.7610 + 5.86055i 1.48739 + 0.213855i 0.837611 0.546267i \(-0.183952\pi\)
0.649780 + 0.760122i \(0.274861\pi\)
\(752\) 6.93072 0.495695i 0.252737 0.0180761i
\(753\) 4.49663 1.67716i 0.163866 0.0611190i
\(754\) 1.05389 3.58923i 0.0383805 0.130712i
\(755\) 10.7445 7.94713i 0.391033 0.289226i
\(756\) −9.93018 + 1.42774i −0.361157 + 0.0519266i
\(757\) 11.8215 2.57161i 0.429660 0.0934669i 0.00746575 0.999972i \(-0.497624\pi\)
0.422195 + 0.906505i \(0.361260\pi\)
\(758\) −9.25755 9.25755i −0.336250 0.336250i
\(759\) 0.333921 0.932481i 0.0121206 0.0338469i
\(760\) 6.04088 + 3.93156i 0.219126 + 0.142613i
\(761\) −24.3584 15.6542i −0.882991 0.567464i 0.0187095 0.999825i \(-0.494044\pi\)
−0.901701 + 0.432361i \(0.857681\pi\)
\(762\) 5.25596 7.02114i 0.190403 0.254349i
\(763\) −20.6275 7.69364i −0.746764 0.278529i
\(764\) 12.7795 + 3.75241i 0.462348 + 0.135758i
\(765\) 8.21536 + 12.9466i 0.297027 + 0.468087i
\(766\) −20.4233 17.6969i −0.737924 0.639415i
\(767\) 1.96976 1.47455i 0.0711241 0.0532428i
\(768\) 0.312434 0.572181i 0.0112740 0.0206468i
\(769\) −24.3410 28.0910i −0.877757 1.01299i −0.999791 0.0204598i \(-0.993487\pi\)
0.122033 0.992526i \(-0.461058\pi\)
\(770\) −1.39057 + 1.37465i −0.0501127 + 0.0495390i
\(771\) 3.86565 2.48430i 0.139218 0.0894700i