Properties

Label 441.2.bn.a.164.4
Level $441$
Weight $2$
Character 441.164
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 164.4
Character \(\chi\) \(=\) 441.164
Dual form 441.2.bn.a.320.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.05598 + 2.19277i) q^{2} +(1.37134 - 1.05803i) q^{3} +(-2.44617 - 3.06740i) q^{4} +(-3.22503 - 0.994791i) q^{5} +(0.871911 + 4.12430i) q^{6} +(-0.531380 + 2.59184i) q^{7} +(4.56367 - 1.04163i) q^{8} +(0.761139 - 2.90184i) q^{9} +O(q^{10})\) \(q+(-1.05598 + 2.19277i) q^{2} +(1.37134 - 1.05803i) q^{3} +(-2.44617 - 3.06740i) q^{4} +(-3.22503 - 0.994791i) q^{5} +(0.871911 + 4.12430i) q^{6} +(-0.531380 + 2.59184i) q^{7} +(4.56367 - 1.04163i) q^{8} +(0.761139 - 2.90184i) q^{9} +(5.58693 - 6.02128i) q^{10} +(2.38848 - 0.178992i) q^{11} +(-6.59993 - 1.61832i) q^{12} +(5.81737 - 0.435952i) q^{13} +(-5.12219 - 3.90214i) q^{14} +(-5.47513 + 2.04799i) q^{15} +(-0.789054 + 3.45707i) q^{16} +(-1.47076 - 3.74743i) q^{17} +(5.55932 + 4.73330i) q^{18} +(3.32577 - 1.92013i) q^{19} +(4.83756 + 12.3259i) q^{20} +(2.01355 + 4.11651i) q^{21} +(-2.12971 + 5.42641i) q^{22} +(0.156184 + 1.03621i) q^{23} +(5.15627 - 6.25694i) q^{24} +(5.28004 + 3.59987i) q^{25} +(-5.18710 + 13.2165i) q^{26} +(-2.02646 - 4.78471i) q^{27} +(9.25005 - 4.71012i) q^{28} +(5.17115 - 2.02953i) q^{29} +(1.29087 - 14.1684i) q^{30} -2.94815i q^{31} +(0.572221 + 0.456331i) q^{32} +(3.08604 - 2.77255i) q^{33} +(9.77037 + 0.732188i) q^{34} +(4.29206 - 7.83016i) q^{35} +(-10.7630 + 4.76367i) q^{36} +(11.0077 + 1.65914i) q^{37} +(0.698459 + 9.32029i) q^{38} +(7.51633 - 6.75280i) q^{39} +(-15.7542 - 1.18061i) q^{40} +(-3.77830 + 3.50575i) q^{41} +(-11.1528 + 0.0682852i) q^{42} +(-2.94822 - 2.73554i) q^{43} +(-6.39167 - 6.88858i) q^{44} +(-5.34142 + 8.60135i) q^{45} +(-2.43711 - 0.751749i) q^{46} +(-2.68897 - 1.29494i) q^{47} +(2.57563 + 5.57566i) q^{48} +(-6.43527 - 2.75451i) q^{49} +(-13.4693 + 7.77652i) q^{50} +(-5.98181 - 3.58289i) q^{51} +(-15.5675 - 16.7778i) q^{52} +(1.05930 + 7.02802i) q^{53} +(12.6317 + 0.609015i) q^{54} +(-7.88100 - 1.79879i) q^{55} +(0.274689 + 12.3818i) q^{56} +(2.52919 - 6.15192i) q^{57} +(-1.01036 + 13.4823i) q^{58} +(-0.112564 + 0.493175i) q^{59} +(19.6751 + 11.7847i) q^{60} +(-5.84045 - 4.65761i) q^{61} +(6.46463 + 3.11320i) q^{62} +(7.11665 + 3.51473i) q^{63} +(-7.99452 + 3.84996i) q^{64} +(-19.1949 - 4.38111i) q^{65} +(2.82076 + 9.69474i) q^{66} -1.32842 q^{67} +(-7.89715 + 13.6783i) q^{68} +(1.31053 + 1.25575i) q^{69} +(12.6374 + 17.6800i) q^{70} +(8.15167 - 6.50074i) q^{71} +(0.450949 - 14.0359i) q^{72} +(9.25157 + 0.693309i) q^{73} +(-15.2620 + 22.3853i) q^{74} +(11.0495 - 0.649808i) q^{75} +(-14.0252 - 5.50449i) q^{76} +(-0.805274 + 6.28568i) q^{77} +(6.87022 + 23.6124i) q^{78} -6.76236 q^{79} +(5.98379 - 10.3642i) q^{80} +(-7.84134 - 4.41740i) q^{81} +(-3.69749 - 11.9870i) q^{82} +(1.27459 - 17.0082i) q^{83} +(7.70149 - 16.2460i) q^{84} +(1.01533 + 13.5487i) q^{85} +(9.11169 - 3.57608i) q^{86} +(4.94409 - 8.25441i) q^{87} +(10.7138 - 3.30477i) q^{88} +(-4.11475 - 2.80539i) q^{89} +(-13.2204 - 20.7954i) q^{90} +(-1.96132 + 15.3093i) q^{91} +(2.79643 - 3.01384i) q^{92} +(-3.11924 - 4.04291i) q^{93} +(5.67901 - 4.52886i) q^{94} +(-12.6359 + 2.88405i) q^{95} +(1.26752 + 0.0203564i) q^{96} +(-4.19458 - 2.42174i) q^{97} +(12.8355 - 11.2024i) q^{98} +(1.29856 - 7.06723i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} + O(q^{10}) \) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} - 22q^{10} - 18q^{11} - 72q^{12} - 4q^{13} + 66q^{14} - 10q^{15} - 105q^{16} - 9q^{17} - 27q^{18} - 36q^{19} - 27q^{20} - 11q^{21} - 9q^{22} - 27q^{23} - 8q^{24} + 38q^{25} + 6q^{26} - 29q^{27} - 26q^{28} + 3q^{29} - 16q^{30} - 21q^{32} - 11q^{33} - 13q^{34} + 28q^{36} - 13q^{37} - 90q^{38} - 15q^{39} - 31q^{40} - 27q^{41} - 4q^{42} - 9q^{43} + 51q^{44} - 11q^{45} - 108q^{46} + 75q^{47} - 15q^{48} - 13q^{49} - 45q^{50} - 38q^{51} + 64q^{52} - 12q^{53} - 41q^{54} + 14q^{55} + 3q^{56} - 7q^{57} - 90q^{58} + 15q^{59} - 69q^{60} - 56q^{61} + 66q^{62} + 13q^{63} + 64q^{64} - 21q^{65} - 204q^{66} - 26q^{67} + 3q^{68} + 58q^{69} - 22q^{70} - 63q^{71} - 18q^{72} - 22q^{73} - 12q^{74} + 118q^{75} - 63q^{76} - 69q^{77} - 147q^{78} - 2q^{79} - 45q^{80} + 29q^{81} - 28q^{82} - 51q^{83} - 31q^{84} - 10q^{85} - 72q^{86} - 67q^{87} + 4q^{88} + 132q^{89} + 58q^{90} - 13q^{91} - 15q^{92} + 217q^{93} - 7q^{94} - 21q^{95} - 44q^{96} + 3q^{97} + 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.05598 + 2.19277i −0.746693 + 1.55052i 0.0856891 + 0.996322i \(0.472691\pi\)
−0.832382 + 0.554202i \(0.813023\pi\)
\(3\) 1.37134 1.05803i 0.791743 0.610855i
\(4\) −2.44617 3.06740i −1.22308 1.53370i
\(5\) −3.22503 0.994791i −1.44228 0.444884i −0.527748 0.849401i \(-0.676964\pi\)
−0.914531 + 0.404517i \(0.867440\pi\)
\(6\) 0.871911 + 4.12430i 0.355956 + 1.68374i
\(7\) −0.531380 + 2.59184i −0.200843 + 0.979623i
\(8\) 4.56367 1.04163i 1.61350 0.368271i
\(9\) 0.761139 2.90184i 0.253713 0.967280i
\(10\) 5.58693 6.02128i 1.76674 1.90410i
\(11\) 2.38848 0.178992i 0.720154 0.0539681i 0.290389 0.956909i \(-0.406215\pi\)
0.429765 + 0.902941i \(0.358596\pi\)
\(12\) −6.59993 1.61832i −1.90524 0.467168i
\(13\) 5.81737 0.435952i 1.61345 0.120911i 0.762796 0.646640i \(-0.223826\pi\)
0.850652 + 0.525728i \(0.176207\pi\)
\(14\) −5.12219 3.90214i −1.36896 1.04289i
\(15\) −5.47513 + 2.04799i −1.41367 + 0.528789i
\(16\) −0.789054 + 3.45707i −0.197264 + 0.864268i
\(17\) −1.47076 3.74743i −0.356712 0.908886i −0.990764 0.135596i \(-0.956705\pi\)
0.634053 0.773290i \(-0.281390\pi\)
\(18\) 5.55932 + 4.73330i 1.31034 + 1.11565i
\(19\) 3.32577 1.92013i 0.762984 0.440509i −0.0673821 0.997727i \(-0.521465\pi\)
0.830366 + 0.557218i \(0.188131\pi\)
\(20\) 4.83756 + 12.3259i 1.08171 + 2.75615i
\(21\) 2.01355 + 4.11651i 0.439392 + 0.898295i
\(22\) −2.12971 + 5.42641i −0.454055 + 1.15691i
\(23\) 0.156184 + 1.03621i 0.0325667 + 0.216066i 0.999195 0.0401172i \(-0.0127731\pi\)
−0.966628 + 0.256183i \(0.917535\pi\)
\(24\) 5.15627 6.25694i 1.05252 1.27719i
\(25\) 5.28004 + 3.59987i 1.05601 + 0.719974i
\(26\) −5.18710 + 13.2165i −1.01727 + 2.59197i
\(27\) −2.02646 4.78471i −0.389992 0.920818i
\(28\) 9.25005 4.71012i 1.74810 0.890130i
\(29\) 5.17115 2.02953i 0.960258 0.376874i 0.167135 0.985934i \(-0.446549\pi\)
0.793124 + 0.609060i \(0.208453\pi\)
\(30\) 1.29087 14.1684i 0.235680 2.58678i
\(31\) 2.94815i 0.529504i −0.964317 0.264752i \(-0.914710\pi\)
0.964317 0.264752i \(-0.0852900\pi\)
\(32\) 0.572221 + 0.456331i 0.101155 + 0.0806688i
\(33\) 3.08604 2.77255i 0.537210 0.482639i
\(34\) 9.77037 + 0.732188i 1.67560 + 0.125569i
\(35\) 4.29206 7.83016i 0.725490 1.32354i
\(36\) −10.7630 + 4.76367i −1.79383 + 0.793945i
\(37\) 11.0077 + 1.65914i 1.80965 + 0.272761i 0.964942 0.262464i \(-0.0845352\pi\)
0.844709 + 0.535225i \(0.179773\pi\)
\(38\) 0.698459 + 9.32029i 0.113305 + 1.51195i
\(39\) 7.51633 6.75280i 1.20358 1.08131i
\(40\) −15.7542 1.18061i −2.49096 0.186672i
\(41\) −3.77830 + 3.50575i −0.590071 + 0.547506i −0.917687 0.397305i \(-0.869945\pi\)
0.327616 + 0.944811i \(0.393755\pi\)
\(42\) −11.1528 + 0.0682852i −1.72092 + 0.0105366i
\(43\) −2.94822 2.73554i −0.449599 0.417167i 0.422602 0.906316i \(-0.361117\pi\)
−0.872200 + 0.489149i \(0.837307\pi\)
\(44\) −6.39167 6.88858i −0.963581 1.03849i
\(45\) −5.34142 + 8.60135i −0.796252 + 1.28221i
\(46\) −2.43711 0.751749i −0.359332 0.110839i
\(47\) −2.68897 1.29494i −0.392226 0.188886i 0.227367 0.973809i \(-0.426988\pi\)
−0.619593 + 0.784923i \(0.712702\pi\)
\(48\) 2.57563 + 5.57566i 0.371760 + 0.804777i
\(49\) −6.43527 2.75451i −0.919324 0.393501i
\(50\) −13.4693 + 7.77652i −1.90485 + 1.09977i
\(51\) −5.98181 3.58289i −0.837621 0.501705i
\(52\) −15.5675 16.7778i −2.15882 2.32666i
\(53\) 1.05930 + 7.02802i 0.145506 + 0.965372i 0.935771 + 0.352607i \(0.114705\pi\)
−0.790265 + 0.612765i \(0.790057\pi\)
\(54\) 12.6317 + 0.609015i 1.71896 + 0.0828764i
\(55\) −7.88100 1.79879i −1.06267 0.242548i
\(56\) 0.274689 + 12.3818i 0.0367069 + 1.65459i
\(57\) 2.52919 6.15192i 0.335000 0.814842i
\(58\) −1.01036 + 13.4823i −0.132667 + 1.77031i
\(59\) −0.112564 + 0.493175i −0.0146546 + 0.0642059i −0.981727 0.190297i \(-0.939055\pi\)
0.967072 + 0.254503i \(0.0819119\pi\)
\(60\) 19.6751 + 11.7847i 2.54005 + 1.52140i
\(61\) −5.84045 4.65761i −0.747794 0.596345i 0.173673 0.984803i \(-0.444436\pi\)
−0.921466 + 0.388458i \(0.873008\pi\)
\(62\) 6.46463 + 3.11320i 0.821008 + 0.395377i
\(63\) 7.11665 + 3.51473i 0.896613 + 0.442814i
\(64\) −7.99452 + 3.84996i −0.999315 + 0.481245i
\(65\) −19.1949 4.38111i −2.38083 0.543410i
\(66\) 2.82076 + 9.69474i 0.347212 + 1.19334i
\(67\) −1.32842 −0.162293 −0.0811463 0.996702i \(-0.525858\pi\)
−0.0811463 + 0.996702i \(0.525858\pi\)
\(68\) −7.89715 + 13.6783i −0.957670 + 1.65873i
\(69\) 1.31053 + 1.25575i 0.157769 + 0.151175i
\(70\) 12.6374 + 17.6800i 1.51046 + 2.11317i
\(71\) 8.15167 6.50074i 0.967426 0.771496i −0.00612169 0.999981i \(-0.501949\pi\)
0.973547 + 0.228485i \(0.0733772\pi\)
\(72\) 0.450949 14.0359i 0.0531449 1.65414i
\(73\) 9.25157 + 0.693309i 1.08281 + 0.0811457i 0.604164 0.796860i \(-0.293507\pi\)
0.478650 + 0.878006i \(0.341126\pi\)
\(74\) −15.2620 + 22.3853i −1.77418 + 2.60224i
\(75\) 11.0495 0.649808i 1.27589 0.0750334i
\(76\) −14.0252 5.50449i −1.60880 0.631408i
\(77\) −0.805274 + 6.28568i −0.0917694 + 0.716319i
\(78\) 6.87022 + 23.6124i 0.777900 + 2.67358i
\(79\) −6.76236 −0.760825 −0.380412 0.924817i \(-0.624218\pi\)
−0.380412 + 0.924817i \(0.624218\pi\)
\(80\) 5.98379 10.3642i 0.669008 1.15876i
\(81\) −7.84134 4.41740i −0.871260 0.490823i
\(82\) −3.69749 11.9870i −0.408319 1.32374i
\(83\) 1.27459 17.0082i 0.139904 1.86689i −0.280896 0.959738i \(-0.590632\pi\)
0.420800 0.907153i \(-0.361749\pi\)
\(84\) 7.70149 16.2460i 0.840302 1.77259i
\(85\) 1.01533 + 13.5487i 0.110129 + 1.46956i
\(86\) 9.11169 3.57608i 0.982539 0.385618i
\(87\) 4.94409 8.25441i 0.530062 0.884965i
\(88\) 10.7138 3.30477i 1.14210 0.352290i
\(89\) −4.11475 2.80539i −0.436162 0.297370i 0.325262 0.945624i \(-0.394547\pi\)
−0.761425 + 0.648253i \(0.775500\pi\)
\(90\) −13.2204 20.7954i −1.39355 2.19203i
\(91\) −1.96132 + 15.3093i −0.205602 + 1.60486i
\(92\) 2.79643 3.01384i 0.291548 0.314214i
\(93\) −3.11924 4.04291i −0.323450 0.419231i
\(94\) 5.67901 4.52886i 0.585745 0.467116i
\(95\) −12.6359 + 2.88405i −1.29641 + 0.295897i
\(96\) 1.26752 + 0.0203564i 0.129366 + 0.00207762i
\(97\) −4.19458 2.42174i −0.425895 0.245891i 0.271701 0.962382i \(-0.412414\pi\)
−0.697596 + 0.716491i \(0.745747\pi\)
\(98\) 12.8355 11.2024i 1.29659 1.13161i
\(99\) 1.29856 7.06723i 0.130510 0.710283i
\(100\) −1.87363 25.0019i −0.187363 2.50019i
\(101\) 8.30631 7.70713i 0.826509 0.766888i −0.148533 0.988907i \(-0.547455\pi\)
0.975042 + 0.222019i \(0.0712647\pi\)
\(102\) 14.1732 9.33328i 1.40335 0.924132i
\(103\) −2.93553 + 9.51676i −0.289247 + 0.937714i 0.688018 + 0.725693i \(0.258481\pi\)
−0.977265 + 0.212021i \(0.931995\pi\)
\(104\) 26.0945 8.04908i 2.55877 0.789277i
\(105\) −2.39869 15.2789i −0.234088 1.49107i
\(106\) −16.5294 5.09866i −1.60548 0.495226i
\(107\) −9.73519 + 14.2789i −0.941136 + 1.38039i −0.0163661 + 0.999866i \(0.505210\pi\)
−0.924770 + 0.380527i \(0.875743\pi\)
\(108\) −9.71956 + 17.9202i −0.935265 + 1.72437i
\(109\) −4.90010 + 3.34083i −0.469345 + 0.319994i −0.774793 0.632215i \(-0.782146\pi\)
0.305448 + 0.952209i \(0.401194\pi\)
\(110\) 12.2665 15.3817i 1.16957 1.46659i
\(111\) 16.8507 9.37123i 1.59940 0.889477i
\(112\) −8.54089 3.88212i −0.807038 0.366826i
\(113\) 5.95114 8.72872i 0.559836 0.821129i −0.437095 0.899415i \(-0.643993\pi\)
0.996931 + 0.0782868i \(0.0249450\pi\)
\(114\) 10.8190 + 12.0423i 1.01329 + 1.12786i
\(115\) 0.527118 3.49720i 0.0491540 0.326116i
\(116\) −18.8749 10.8974i −1.75249 1.01180i
\(117\) 3.16276 17.2129i 0.292398 1.59133i
\(118\) −0.962554 0.767611i −0.0886103 0.0706643i
\(119\) 10.4943 1.82066i 0.962009 0.166900i
\(120\) −22.8535 + 15.0494i −2.08623 + 1.37382i
\(121\) −5.20433 + 0.784427i −0.473121 + 0.0713115i
\(122\) 16.3805 7.88843i 1.48302 0.714185i
\(123\) −1.47213 + 8.80513i −0.132738 + 0.793931i
\(124\) −9.04316 + 7.21168i −0.812100 + 0.647628i
\(125\) −2.92588 3.66894i −0.261699 0.328160i
\(126\) −15.2221 + 11.8937i −1.35609 + 1.05957i
\(127\) 3.67686 4.61063i 0.326268 0.409128i −0.591461 0.806334i \(-0.701449\pi\)
0.917730 + 0.397206i \(0.130020\pi\)
\(128\) 20.1318i 1.77942i
\(129\) −6.93730 0.632052i −0.610795 0.0556491i
\(130\) 29.8763 37.4637i 2.62032 3.28578i
\(131\) 14.2662 + 13.2371i 1.24644 + 1.15653i 0.981334 + 0.192310i \(0.0615979\pi\)
0.265107 + 0.964219i \(0.414593\pi\)
\(132\) −16.0535 2.68399i −1.39728 0.233611i
\(133\) 3.20943 + 9.64019i 0.278293 + 0.835910i
\(134\) 1.40279 2.91293i 0.121183 0.251639i
\(135\) 1.77561 + 17.4468i 0.152820 + 1.50158i
\(136\) −10.6155 15.5701i −0.910272 1.33512i
\(137\) 5.56891 + 18.0540i 0.475784 + 1.54245i 0.802098 + 0.597193i \(0.203717\pi\)
−0.326314 + 0.945262i \(0.605807\pi\)
\(138\) −4.13748 + 1.54764i −0.352206 + 0.131744i
\(139\) −10.9195 11.7684i −0.926177 0.998181i −1.00000 0.000910049i \(-0.999710\pi\)
0.0738226 0.997271i \(-0.476480\pi\)
\(140\) −34.5173 + 5.98844i −2.91725 + 0.506115i
\(141\) −5.05757 + 1.06921i −0.425924 + 0.0900439i
\(142\) 5.64662 + 24.7394i 0.473853 + 2.07609i
\(143\) 13.8167 2.08253i 1.15541 0.174150i
\(144\) 9.43129 + 4.92102i 0.785941 + 0.410085i
\(145\) −18.6961 + 1.40108i −1.55263 + 0.116353i
\(146\) −11.2898 + 19.5545i −0.934348 + 1.61834i
\(147\) −11.7393 + 3.03136i −0.968240 + 0.250022i
\(148\) −21.8374 37.8235i −1.79502 3.10907i
\(149\) −0.789582 1.15810i −0.0646851 0.0948756i 0.792533 0.609829i \(-0.208762\pi\)
−0.857218 + 0.514953i \(0.827809\pi\)
\(150\) −10.2432 + 24.9152i −0.836354 + 2.03432i
\(151\) −4.34575 + 11.0728i −0.353652 + 0.901091i 0.637750 + 0.770243i \(0.279865\pi\)
−0.991402 + 0.130848i \(0.958230\pi\)
\(152\) 13.1777 12.2271i 1.06885 0.991748i
\(153\) −11.9939 + 1.41559i −0.969649 + 0.114444i
\(154\) −12.9327 8.40335i −1.04215 0.677161i
\(155\) −2.93280 + 9.50789i −0.235568 + 0.763692i
\(156\) −39.0997 6.53711i −3.13049 0.523387i
\(157\) 19.9522 + 4.55396i 1.59236 + 0.363445i 0.924602 0.380934i \(-0.124398\pi\)
0.667757 + 0.744380i \(0.267255\pi\)
\(158\) 7.14094 14.8283i 0.568103 1.17968i
\(159\) 8.88853 + 8.51701i 0.704906 + 0.675443i
\(160\) −1.39148 2.04093i −0.110006 0.161349i
\(161\) −2.76870 0.145819i −0.218204 0.0114922i
\(162\) 17.9667 12.5296i 1.41160 0.984415i
\(163\) −1.23034 + 0.379509i −0.0963675 + 0.0297255i −0.342564 0.939494i \(-0.611295\pi\)
0.246196 + 0.969220i \(0.420819\pi\)
\(164\) 19.9959 + 3.01389i 1.56142 + 0.235346i
\(165\) −12.7107 + 5.87160i −0.989525 + 0.457103i
\(166\) 35.9491 + 20.7553i 2.79019 + 1.61092i
\(167\) 13.9914 + 2.10887i 1.08269 + 0.163189i 0.666068 0.745891i \(-0.267976\pi\)
0.416621 + 0.909080i \(0.363214\pi\)
\(168\) 13.4770 + 16.6890i 1.03978 + 1.28759i
\(169\) 20.7969 3.13463i 1.59976 0.241126i
\(170\) −30.7814 12.0808i −2.36082 0.926555i
\(171\) −3.04055 11.1123i −0.232517 0.849782i
\(172\) −1.17917 + 15.7350i −0.0899110 + 1.19978i
\(173\) 0.604747 + 0.758329i 0.0459781 + 0.0576547i 0.804289 0.594239i \(-0.202546\pi\)
−0.758311 + 0.651893i \(0.773975\pi\)
\(174\) 12.8792 + 19.5578i 0.976366 + 1.48267i
\(175\) −12.1360 + 11.7721i −0.917395 + 0.889889i
\(176\) −1.26585 + 8.39839i −0.0954173 + 0.633052i
\(177\) 0.367431 + 0.795405i 0.0276178 + 0.0597863i
\(178\) 10.4967 6.06026i 0.786759 0.454236i
\(179\) 3.18168 1.24872i 0.237810 0.0933336i −0.243443 0.969915i \(-0.578277\pi\)
0.481253 + 0.876582i \(0.340182\pi\)
\(180\) 39.4498 4.65610i 2.94041 0.347045i
\(181\) 8.19476 + 17.0166i 0.609112 + 1.26483i 0.946268 + 0.323385i \(0.104821\pi\)
−0.337156 + 0.941449i \(0.609465\pi\)
\(182\) −31.4988 20.4671i −2.33485 1.51713i
\(183\) −12.9371 0.207771i −0.956340 0.0153589i
\(184\) 1.79213 + 4.56626i 0.132117 + 0.336629i
\(185\) −33.8496 16.3011i −2.48867 1.19848i
\(186\) 12.1591 2.57053i 0.891545 0.188480i
\(187\) −4.18364 8.68742i −0.305938 0.635287i
\(188\) 2.60557 + 11.4158i 0.190031 + 0.832580i
\(189\) 13.4780 2.70975i 0.980382 0.197106i
\(190\) 7.01919 30.7531i 0.509225 2.23106i
\(191\) −17.3709 + 3.96480i −1.25691 + 0.286883i −0.798575 0.601895i \(-0.794413\pi\)
−0.458339 + 0.888777i \(0.651556\pi\)
\(192\) −6.88981 + 13.7380i −0.497229 + 0.991458i
\(193\) 1.49613 + 6.55499i 0.107694 + 0.471839i 0.999800 + 0.0200118i \(0.00637038\pi\)
−0.892106 + 0.451827i \(0.850772\pi\)
\(194\) 9.73974 6.64044i 0.699272 0.476756i
\(195\) −30.9581 + 14.3008i −2.21695 + 1.02410i
\(196\) 7.29259 + 26.4775i 0.520899 + 1.89125i
\(197\) 8.28891i 0.590561i 0.955411 + 0.295280i \(0.0954130\pi\)
−0.955411 + 0.295280i \(0.904587\pi\)
\(198\) 14.1256 + 10.3103i 1.00386 + 0.732723i
\(199\) 2.43911 7.90739i 0.172904 0.560540i −0.827095 0.562062i \(-0.810008\pi\)
0.999999 + 0.00152198i \(0.000484460\pi\)
\(200\) 27.8461 + 10.9288i 1.96902 + 0.772782i
\(201\) −1.82172 + 1.40551i −0.128494 + 0.0991372i
\(202\) 8.12866 + 26.3525i 0.571930 + 1.85415i
\(203\) 2.51236 + 14.4812i 0.176333 + 1.01638i
\(204\) 3.64237 + 27.1130i 0.255017 + 1.89829i
\(205\) 15.6726 7.54754i 1.09462 0.527143i
\(206\) −17.7682 16.4865i −1.23797 1.14867i
\(207\) 3.12581 + 0.335482i 0.217259 + 0.0233176i
\(208\) −3.08310 + 20.4551i −0.213775 + 1.41830i
\(209\) 7.59985 5.18149i 0.525693 0.358411i
\(210\) 36.0362 + 10.8745i 2.48673 + 0.750413i
\(211\) −8.09922 5.52196i −0.557574 0.380147i 0.251498 0.967858i \(-0.419077\pi\)
−0.809071 + 0.587711i \(0.800029\pi\)
\(212\) 18.9665 20.4410i 1.30262 1.40390i
\(213\) 4.30071 17.5394i 0.294680 1.20178i
\(214\) −21.0302 36.4253i −1.43759 2.48998i
\(215\) 6.78680 + 11.7551i 0.462856 + 0.801690i
\(216\) −14.2320 19.7250i −0.968364 1.34212i
\(217\) 7.64114 + 1.56659i 0.518714 + 0.106347i
\(218\) −2.15126 14.2727i −0.145702 0.966667i
\(219\) 13.4206 8.83769i 0.906878 0.597196i
\(220\) 13.7607 + 28.5743i 0.927743 + 1.92648i
\(221\) −10.1897 21.1590i −0.685430 1.42331i
\(222\) 2.75493 + 46.8455i 0.184899 + 3.14407i
\(223\) 0.809201 + 5.36870i 0.0541881 + 0.359515i 0.999449 + 0.0331984i \(0.0105693\pi\)
−0.945261 + 0.326316i \(0.894193\pi\)
\(224\) −1.48681 + 1.24062i −0.0993413 + 0.0828925i
\(225\) 14.4651 12.5818i 0.964339 0.838788i
\(226\) 12.8558 + 22.2669i 0.855154 + 1.48117i
\(227\) −7.91492 13.7090i −0.525332 0.909901i −0.999565 0.0295017i \(-0.990608\pi\)
0.474233 0.880399i \(-0.342725\pi\)
\(228\) −25.0572 + 7.29060i −1.65946 + 0.482832i
\(229\) −11.3290 + 12.2098i −0.748642 + 0.806844i −0.986379 0.164486i \(-0.947404\pi\)
0.237738 + 0.971329i \(0.423594\pi\)
\(230\) 7.11193 + 4.84883i 0.468947 + 0.319723i
\(231\) 5.54614 + 9.47179i 0.364909 + 0.623198i
\(232\) 21.4854 14.6485i 1.41059 0.961722i
\(233\) 1.55186 10.2959i 0.101666 0.674507i −0.878708 0.477359i \(-0.841594\pi\)
0.980374 0.197148i \(-0.0631679\pi\)
\(234\) 34.4041 + 25.1117i 2.24907 + 1.64161i
\(235\) 7.38381 + 6.85118i 0.481667 + 0.446921i
\(236\) 1.78811 0.861110i 0.116396 0.0560535i
\(237\) −9.27348 + 7.15479i −0.602377 + 0.464753i
\(238\) −7.08949 + 24.9342i −0.459544 + 1.61624i
\(239\) 3.39727 + 11.0137i 0.219751 + 0.712416i 0.996575 + 0.0826974i \(0.0263535\pi\)
−0.776824 + 0.629718i \(0.783170\pi\)
\(240\) −2.75988 20.5439i −0.178149 1.32610i
\(241\) −9.02510 3.54209i −0.581358 0.228166i 0.0563933 0.998409i \(-0.482040\pi\)
−0.637751 + 0.770243i \(0.720135\pi\)
\(242\) 3.77562 12.2403i 0.242706 0.786833i
\(243\) −15.4269 + 2.23863i −0.989635 + 0.143608i
\(244\) 29.3083i 1.87627i
\(245\) 18.0138 + 15.2851i 1.15086 + 0.976531i
\(246\) −17.7531 12.5261i −1.13190 0.798636i
\(247\) 18.5102 12.6200i 1.17777 0.802992i
\(248\) −3.07088 13.4544i −0.195001 0.854356i
\(249\) −16.2473 24.6725i −1.02963 1.56356i
\(250\) 11.1348 2.54145i 0.704228 0.160735i
\(251\) 0.0790384 0.346290i 0.00498886 0.0218576i −0.972372 0.233436i \(-0.925003\pi\)
0.977361 + 0.211578i \(0.0678603\pi\)
\(252\) −6.62745 30.4272i −0.417490 1.91673i
\(253\) 0.558518 + 2.44703i 0.0351137 + 0.153843i
\(254\) 6.22737 + 12.9313i 0.390740 + 0.811380i
\(255\) 15.7273 + 17.5056i 0.984883 + 1.09624i
\(256\) 28.1555 + 13.5590i 1.75972 + 0.847436i
\(257\) 5.32283 + 13.5623i 0.332029 + 0.845996i 0.995230 + 0.0975547i \(0.0311021\pi\)
−0.663201 + 0.748441i \(0.730803\pi\)
\(258\) 8.71162 14.5445i 0.542361 0.905499i
\(259\) −10.1495 + 27.6485i −0.630659 + 1.71799i
\(260\) 33.5153 + 69.5953i 2.07853 + 4.31612i
\(261\) −1.95340 16.5506i −0.120912 1.02446i
\(262\) −44.0907 + 17.3043i −2.72393 + 1.06907i
\(263\) −20.3496 + 11.7488i −1.25481 + 0.724465i −0.972061 0.234729i \(-0.924580\pi\)
−0.282749 + 0.959194i \(0.591246\pi\)
\(264\) 11.1957 15.8675i 0.689048 0.976578i
\(265\) 3.57512 23.7194i 0.219618 1.45707i
\(266\) −24.5278 3.14232i −1.50390 0.192668i
\(267\) −8.61090 + 0.506397i −0.526978 + 0.0309910i
\(268\) 3.24954 + 4.07480i 0.198498 + 0.248908i
\(269\) 0.661142 8.82233i 0.0403106 0.537907i −0.940094 0.340914i \(-0.889263\pi\)
0.980405 0.196993i \(-0.0631176\pi\)
\(270\) −40.1318 14.5300i −2.44234 0.884267i
\(271\) 8.20495 + 3.22021i 0.498415 + 0.195614i 0.601213 0.799089i \(-0.294684\pi\)
−0.102798 + 0.994702i \(0.532779\pi\)
\(272\) 14.1157 2.12759i 0.855888 0.129004i
\(273\) 13.5081 + 23.0694i 0.817550 + 1.39623i
\(274\) −45.4689 6.85334i −2.74688 0.414025i
\(275\) 13.2556 + 7.65314i 0.799345 + 0.461502i
\(276\) 0.646120 7.09170i 0.0388919 0.426870i
\(277\) −8.59885 1.29607i −0.516655 0.0778732i −0.114461 0.993428i \(-0.536514\pi\)
−0.402194 + 0.915554i \(0.631752\pi\)
\(278\) 37.3362 11.5167i 2.23927 0.690725i
\(279\) −8.55506 2.24395i −0.512178 0.134342i
\(280\) 11.4314 40.2050i 0.683159 2.40271i
\(281\) 5.40252 + 7.92405i 0.322288 + 0.472709i 0.952855 0.303425i \(-0.0981303\pi\)
−0.630568 + 0.776134i \(0.717178\pi\)
\(282\) 2.99617 12.2192i 0.178419 0.727640i
\(283\) −8.34524 + 17.3291i −0.496073 + 1.03011i 0.491196 + 0.871049i \(0.336560\pi\)
−0.987269 + 0.159057i \(0.949155\pi\)
\(284\) −39.8807 9.10252i −2.36649 0.540135i
\(285\) −14.2766 + 17.3241i −0.845674 + 1.02619i
\(286\) −10.0237 + 32.4959i −0.592711 + 1.92152i
\(287\) −7.07863 11.6556i −0.417838 0.688010i
\(288\) 1.75974 1.31316i 0.103694 0.0773789i
\(289\) 0.581754 0.539789i 0.0342208 0.0317523i
\(290\) 16.6705 42.4758i 0.978926 2.49426i
\(291\) −8.31447 + 1.11697i −0.487403 + 0.0654779i
\(292\) −20.5042 30.0742i −1.19992 1.75996i
\(293\) −11.6475 20.1740i −0.680453 1.17858i −0.974843 0.222894i \(-0.928450\pi\)
0.294390 0.955685i \(-0.404884\pi\)
\(294\) 5.74941 28.9426i 0.335312 1.68797i
\(295\) 0.853628 1.47853i 0.0497002 0.0860832i
\(296\) 51.9637 3.89414i 3.02033 0.226342i
\(297\) −5.69658 11.0655i −0.330549 0.642084i
\(298\) 3.37324 0.508435i 0.195407 0.0294528i
\(299\) 1.36032 + 5.95996i 0.0786694 + 0.344673i
\(300\) −29.0222 32.3037i −1.67560 1.86505i
\(301\) 8.65672 6.18769i 0.498965 0.356653i
\(302\) −19.6911 21.2219i −1.13309 1.22118i
\(303\) 3.23638 19.3574i 0.185925 1.11206i
\(304\) 4.01383 + 13.0125i 0.230209 + 0.746319i
\(305\) 14.2023 + 20.8310i 0.813222 + 1.19278i
\(306\) 9.56129 27.7947i 0.546583 1.58892i
\(307\) 0.264541 0.549326i 0.0150982 0.0313517i −0.893283 0.449494i \(-0.851604\pi\)
0.908382 + 0.418142i \(0.137319\pi\)
\(308\) 21.2505 12.9057i 1.21086 0.735372i
\(309\) 6.04343 + 16.1566i 0.343799 + 0.919116i
\(310\) −17.7517 16.4711i −1.00823 0.935497i
\(311\) −14.4346 + 18.1004i −0.818510 + 1.02638i 0.180572 + 0.983562i \(0.442205\pi\)
−0.999083 + 0.0428179i \(0.986366\pi\)
\(312\) 27.2682 38.6468i 1.54376 2.18794i
\(313\) 26.9852i 1.52530i −0.646814 0.762648i \(-0.723899\pi\)
0.646814 0.762648i \(-0.276101\pi\)
\(314\) −31.0550 + 38.9417i −1.75253 + 2.19761i
\(315\) −19.4550 18.4147i −1.09617 1.03755i
\(316\) 16.5419 + 20.7429i 0.930553 + 1.16688i
\(317\) −4.53612 + 3.61744i −0.254774 + 0.203175i −0.742545 0.669796i \(-0.766381\pi\)
0.487771 + 0.872972i \(0.337810\pi\)
\(318\) −28.0620 + 10.4967i −1.57364 + 0.588625i
\(319\) 11.9879 5.77308i 0.671195 0.323231i
\(320\) 29.6125 4.46337i 1.65539 0.249510i
\(321\) 1.75729 + 29.8813i 0.0980822 + 1.66781i
\(322\) 3.24345 5.91714i 0.180750 0.329749i
\(323\) −12.0870 9.63905i −0.672538 0.536331i
\(324\) 5.63130 + 34.8582i 0.312850 + 1.93657i
\(325\) 32.2853 + 18.6399i 1.79087 + 1.03396i
\(326\) 0.467040 3.09861i 0.0258669 0.171616i
\(327\) −3.18499 + 9.76588i −0.176130 + 0.540054i
\(328\) −13.5912 + 19.9347i −0.750450 + 1.10071i
\(329\) 4.78513 6.28126i 0.263813 0.346297i
\(330\) 0.547196 34.0719i 0.0301222 1.87560i
\(331\) −17.2656 + 21.6503i −0.949001 + 1.19001i 0.0326779 + 0.999466i \(0.489596\pi\)
−0.981679 + 0.190544i \(0.938975\pi\)
\(332\) −55.2888 + 37.6952i −3.03437 + 2.06880i
\(333\) 13.1929 30.6797i 0.722968 1.68124i
\(334\) −19.3990 + 28.4531i −1.06147 + 1.55688i
\(335\) 4.28421 + 1.32150i 0.234071 + 0.0722014i
\(336\) −15.8199 + 3.71283i −0.863044 + 0.202551i
\(337\) 28.7321 8.86267i 1.56514 0.482780i 0.613418 0.789758i \(-0.289794\pi\)
0.951717 + 0.306978i \(0.0993177\pi\)
\(338\) −15.0877 + 48.9131i −0.820662 + 2.66052i
\(339\) −1.07423 18.2665i −0.0583443 0.992101i
\(340\) 39.0756 36.2568i 2.11917 1.96630i
\(341\) −0.527696 7.04161i −0.0285763 0.381324i
\(342\) 27.5776 + 5.06721i 1.49123 + 0.274004i
\(343\) 10.5588 15.2155i 0.570122 0.821560i
\(344\) −16.3041 9.41319i −0.879059 0.507525i
\(345\) −2.97729 5.35355i −0.160292 0.288226i
\(346\) −2.30144 + 0.525290i −0.123726 + 0.0282397i
\(347\) −1.47662 + 1.17757i −0.0792694 + 0.0632152i −0.662323 0.749219i \(-0.730429\pi\)
0.583053 + 0.812434i \(0.301858\pi\)
\(348\) −37.4137 + 5.02617i −2.00558 + 0.269431i
\(349\) −0.133869 + 0.144277i −0.00716586 + 0.00772296i −0.736625 0.676302i \(-0.763582\pi\)
0.729459 + 0.684025i \(0.239772\pi\)
\(350\) −12.9982 39.0426i −0.694781 2.08692i
\(351\) −13.8746 26.9510i −0.740569 1.43854i
\(352\) 1.44842 + 0.987516i 0.0772011 + 0.0526348i
\(353\) 31.3965 9.68455i 1.67107 0.515457i 0.692508 0.721410i \(-0.256506\pi\)
0.978562 + 0.205954i \(0.0660296\pi\)
\(354\) −2.13214 0.0342423i −0.113322 0.00181996i
\(355\) −32.7563 + 12.8559i −1.73852 + 0.682321i
\(356\) 1.46013 + 19.4840i 0.0773865 + 1.03265i
\(357\) 12.4649 13.6000i 0.659712 0.719790i
\(358\) −0.621649 + 8.29533i −0.0328552 + 0.438422i
\(359\) 5.75568 + 18.6594i 0.303773 + 0.984808i 0.970823 + 0.239795i \(0.0770803\pi\)
−0.667051 + 0.745012i \(0.732443\pi\)
\(360\) −15.4171 + 44.8176i −0.812552 + 2.36209i
\(361\) −2.12617 + 3.68263i −0.111904 + 0.193823i
\(362\) −45.9670 −2.41597
\(363\) −6.30695 + 6.58206i −0.331029 + 0.345469i
\(364\) 51.7576 31.4331i 2.71284 1.64754i
\(365\) −29.1469 11.4393i −1.52562 0.598762i
\(366\) 14.1170 28.1488i 0.737907 1.47136i
\(367\) 4.95159 7.26265i 0.258471 0.379107i −0.674966 0.737849i \(-0.735842\pi\)
0.933437 + 0.358742i \(0.116794\pi\)
\(368\) −3.70551 0.277689i −0.193163 0.0144756i
\(369\) 7.29731 + 13.6324i 0.379883 + 0.709673i
\(370\) 71.4893 57.0108i 3.71655 2.96385i
\(371\) −18.7784 0.989005i −0.974925 0.0513466i
\(372\) −4.77105 + 19.4576i −0.247367 + 1.00883i
\(373\) 2.80972 4.86658i 0.145482 0.251982i −0.784071 0.620672i \(-0.786860\pi\)
0.929553 + 0.368689i \(0.120193\pi\)
\(374\) 23.4674 1.21347
\(375\) −7.89422 1.93568i −0.407656 0.0999582i
\(376\) −13.6204 3.10877i −0.702419 0.160322i
\(377\) 29.1977 14.0609i 1.50376 0.724172i
\(378\) −8.29070 + 32.4157i −0.426428 + 1.66728i
\(379\) −25.6515 12.3531i −1.31763 0.634538i −0.362850 0.931848i \(-0.618196\pi\)
−0.954781 + 0.297310i \(0.903911\pi\)
\(380\) 39.7560 + 31.7043i 2.03944 + 1.62640i
\(381\) 0.164021 10.2130i 0.00840303 0.523226i
\(382\) 9.64949 42.2772i 0.493711 2.16309i
\(383\) 0.778433 10.3875i 0.0397761 0.530775i −0.941353 0.337422i \(-0.890445\pi\)
0.981129 0.193352i \(-0.0619360\pi\)
\(384\) −21.3001 27.6076i −1.08697 1.40884i
\(385\) 8.84997 19.4704i 0.451036 0.992306i
\(386\) −15.9535 3.64128i −0.812012 0.185336i
\(387\) −10.1821 + 6.47312i −0.517586 + 0.329047i
\(388\) 2.83220 + 18.7904i 0.143783 + 0.953940i
\(389\) −5.21912 5.62487i −0.264620 0.285192i 0.586739 0.809776i \(-0.300411\pi\)
−0.851359 + 0.524584i \(0.824221\pi\)
\(390\) 1.33275 82.9854i 0.0674863 4.20213i
\(391\) 3.65344 2.10931i 0.184762 0.106673i
\(392\) −32.2376 5.86750i −1.62825 0.296354i
\(393\) 33.5690 + 3.05845i 1.69333 + 0.154278i
\(394\) −18.1757 8.75296i −0.915679 0.440968i
\(395\) 21.8088 + 6.72714i 1.09732 + 0.338479i
\(396\) −24.8545 + 13.3044i −1.24899 + 0.668573i
\(397\) −13.9909 15.0786i −0.702184 0.756775i 0.276752 0.960941i \(-0.410742\pi\)
−0.978936 + 0.204167i \(0.934552\pi\)
\(398\) 14.7634 + 13.6985i 0.740025 + 0.686643i
\(399\) 14.6008 + 9.82428i 0.730956 + 0.491829i
\(400\) −16.6113 + 15.4130i −0.830563 + 0.770649i
\(401\) 2.70535 + 0.202738i 0.135099 + 0.0101242i 0.142108 0.989851i \(-0.454612\pi\)
−0.00700913 + 0.999975i \(0.502231\pi\)
\(402\) −1.15827 5.47881i −0.0577691 0.273258i
\(403\) −1.28525 17.1505i −0.0640229 0.854327i
\(404\) −43.9595 6.62583i −2.18707 0.329647i
\(405\) 20.8942 + 22.0468i 1.03824 + 1.09551i
\(406\) −34.4071 9.78292i −1.70759 0.485518i
\(407\) 26.5886 + 1.99254i 1.31795 + 0.0987666i
\(408\) −31.0311 10.1203i −1.53627 0.501030i
\(409\) −10.2074 8.14017i −0.504726 0.402505i 0.337753 0.941235i \(-0.390333\pi\)
−0.842479 + 0.538729i \(0.818905\pi\)
\(410\) 42.3366i 2.09085i
\(411\) 26.7385 + 18.8660i 1.31891 + 0.930592i
\(412\) 36.3725 14.2752i 1.79195 0.703287i
\(413\) −1.21842 0.553811i −0.0599543 0.0272512i
\(414\) −4.03643 + 6.49992i −0.198380 + 0.319454i
\(415\) −21.0302 + 53.5841i −1.03233 + 2.63034i
\(416\) 3.52776 + 2.40519i 0.172963 + 0.117924i
\(417\) −27.4256 4.58530i −1.34304 0.224543i
\(418\) 3.33651 + 22.1363i 0.163194 + 1.08272i
\(419\) −10.5015 + 26.7574i −0.513033 + 1.30719i 0.406312 + 0.913734i \(0.366815\pi\)
−0.919345 + 0.393452i \(0.871281\pi\)
\(420\) −40.9990 + 44.7326i −2.00055 + 2.18273i
\(421\) 1.54996 + 3.94923i 0.0755403 + 0.192474i 0.963656 0.267147i \(-0.0860808\pi\)
−0.888116 + 0.459620i \(0.847986\pi\)
\(422\) 20.6610 11.9287i 1.00576 0.580678i
\(423\) −5.80437 + 6.81732i −0.282218 + 0.331469i
\(424\) 12.1549 + 30.9702i 0.590294 + 1.50404i
\(425\) 5.72461 25.0811i 0.277684 1.21661i
\(426\) 33.9185 + 27.9518i 1.64336 + 1.35427i
\(427\) 15.1753 12.6626i 0.734383 0.612784i
\(428\) 67.6130 5.06689i 3.26820 0.244917i
\(429\) 16.7439 17.4743i 0.808405 0.843667i
\(430\) −32.9430 + 2.46873i −1.58865 + 0.119053i
\(431\) 22.5985 24.3553i 1.08853 1.17316i 0.104615 0.994513i \(-0.466639\pi\)
0.983914 0.178643i \(-0.0571706\pi\)
\(432\) 18.1401 3.23022i 0.872765 0.155414i
\(433\) −36.5641 + 8.34553i −1.75716 + 0.401060i −0.975033 0.222059i \(-0.928722\pi\)
−0.782127 + 0.623119i \(0.785865\pi\)
\(434\) −11.5041 + 15.1010i −0.552214 + 0.724870i
\(435\) −24.1563 + 21.7024i −1.15821 + 1.04055i
\(436\) 22.2341 + 6.85833i 1.06482 + 0.328454i
\(437\) 2.50910 + 3.14632i 0.120027 + 0.150509i
\(438\) 5.20713 + 38.7607i 0.248807 + 1.85206i
\(439\) 7.12425 14.7937i 0.340022 0.706063i −0.658912 0.752220i \(-0.728983\pi\)
0.998934 + 0.0461570i \(0.0146974\pi\)
\(440\) −37.8400 −1.80395
\(441\) −12.8913 + 16.5776i −0.613870 + 0.789407i
\(442\) 57.1570 2.71868
\(443\) 1.10341 2.29126i 0.0524248 0.108861i −0.873111 0.487522i \(-0.837901\pi\)
0.925536 + 0.378661i \(0.123615\pi\)
\(444\) −69.9649 28.7641i −3.32039 1.36509i
\(445\) 10.4794 + 13.1408i 0.496772 + 0.622933i
\(446\) −12.6268 3.89486i −0.597898 0.184427i
\(447\) −2.30809 0.752750i −0.109169 0.0356039i
\(448\) −5.73034 22.7663i −0.270733 1.07561i
\(449\) −0.968849 + 0.221134i −0.0457228 + 0.0104359i −0.245321 0.969442i \(-0.578893\pi\)
0.199598 + 0.979878i \(0.436036\pi\)
\(450\) 12.3142 + 45.0048i 0.580496 + 2.12155i
\(451\) −8.39690 + 9.04970i −0.395394 + 0.426134i
\(452\) −41.3319 + 3.09740i −1.94409 + 0.145689i
\(453\) 5.75587 + 19.7825i 0.270434 + 0.929462i
\(454\) 38.4188 2.87909i 1.80308 0.135123i
\(455\) 21.5549 47.4221i 1.01051 2.22318i
\(456\) 5.13440 30.7099i 0.240440 1.43812i
\(457\) 0.0584121 0.255920i 0.00273240 0.0119714i −0.973543 0.228502i \(-0.926617\pi\)
0.976276 + 0.216531i \(0.0694742\pi\)
\(458\) −14.8100 37.7352i −0.692025 1.76325i
\(459\) −14.9500 + 14.6312i −0.697804 + 0.682925i
\(460\) −12.0167 + 6.93786i −0.560283 + 0.323479i
\(461\) 3.89576 + 9.92624i 0.181444 + 0.462311i 0.992439 0.122742i \(-0.0391688\pi\)
−0.810995 + 0.585053i \(0.801074\pi\)
\(462\) −26.6261 + 2.15937i −1.23876 + 0.100463i
\(463\) −8.95646 + 22.8207i −0.416242 + 1.06057i 0.556944 + 0.830550i \(0.311974\pi\)
−0.973186 + 0.230018i \(0.926122\pi\)
\(464\) 2.93590 + 19.4784i 0.136296 + 0.904264i
\(465\) 6.03779 + 16.1415i 0.279996 + 0.748545i
\(466\) 20.9378 + 14.2752i 0.969927 + 0.661285i
\(467\) 6.83896 17.4254i 0.316469 0.806351i −0.680798 0.732471i \(-0.738367\pi\)
0.997267 0.0738794i \(-0.0235380\pi\)
\(468\) −60.5355 + 32.4042i −2.79825 + 1.49788i
\(469\) 0.705897 3.44306i 0.0325953 0.158986i
\(470\) −22.8203 + 8.95629i −1.05262 + 0.413123i
\(471\) 32.1794 14.8650i 1.48275 0.684945i
\(472\) 2.36794i 0.108993i
\(473\) −7.53140 6.00609i −0.346294 0.276160i
\(474\) −5.89618 27.8900i −0.270820 1.28103i
\(475\) 24.4724 + 1.83396i 1.12287 + 0.0841477i
\(476\) −31.2555 27.7365i −1.43259 1.27130i
\(477\) 21.2004 + 2.27537i 0.970702 + 0.104182i
\(478\) −27.7380 4.18082i −1.26870 0.191226i
\(479\) 2.41244 + 32.1918i 0.110227 + 1.47088i 0.728569 + 0.684973i \(0.240186\pi\)
−0.618341 + 0.785910i \(0.712195\pi\)
\(480\) −4.06755 1.32657i −0.185657 0.0605494i
\(481\) 64.7590 + 4.85302i 2.95276 + 0.221279i
\(482\) 17.2974 16.0496i 0.787873 0.731039i
\(483\) −3.95110 + 2.72940i −0.179781 + 0.124192i
\(484\) 15.1368 + 14.0449i 0.688037 + 0.638405i
\(485\) 11.1185 + 11.9829i 0.504867 + 0.544117i
\(486\) 11.3817 36.1916i 0.516286 1.64168i
\(487\) −11.0800 3.41774i −0.502084 0.154872i 0.0333595 0.999443i \(-0.489379\pi\)
−0.535444 + 0.844571i \(0.679856\pi\)
\(488\) −31.5054 15.1722i −1.42618 0.686814i
\(489\) −1.28568 + 1.82217i −0.0581404 + 0.0824015i
\(490\) −52.5391 + 23.3593i −2.37347 + 1.05527i
\(491\) −0.559753 + 0.323174i −0.0252613 + 0.0145846i −0.512577 0.858641i \(-0.671309\pi\)
0.487316 + 0.873226i \(0.337976\pi\)
\(492\) 30.6099 17.0232i 1.38000 0.767465i
\(493\) −15.2110 16.3936i −0.685071 0.738330i
\(494\) 8.12639 + 53.9151i 0.365623 + 2.42575i
\(495\) −11.2183 + 21.5003i −0.504226 + 0.966365i
\(496\) 10.1920 + 2.32625i 0.457633 + 0.104452i
\(497\) 12.5172 + 24.5822i 0.561475 + 1.10266i
\(498\) 71.2582 9.57286i 3.19315 0.428970i
\(499\) −1.32456 + 17.6750i −0.0592953 + 0.791241i 0.885721 + 0.464218i \(0.153664\pi\)
−0.945016 + 0.327023i \(0.893955\pi\)
\(500\) −4.09690 + 17.9497i −0.183219 + 0.802734i
\(501\) 21.4182 11.9114i 0.956896 0.532162i
\(502\) 0.675872 + 0.538990i 0.0301656 + 0.0240563i
\(503\) −10.0157 4.82330i −0.446578 0.215061i 0.197059 0.980392i \(-0.436861\pi\)
−0.643637 + 0.765331i \(0.722575\pi\)
\(504\) 36.1391 + 8.62717i 1.60976 + 0.384285i
\(505\) −34.4551 + 16.5927i −1.53323 + 0.738366i
\(506\) −5.95555 1.35932i −0.264757 0.0604290i
\(507\) 25.2031 26.3025i 1.11931 1.16813i
\(508\) −23.1369 −1.02653
\(509\) −6.27382 + 10.8666i −0.278082 + 0.481652i −0.970908 0.239452i \(-0.923032\pi\)
0.692826 + 0.721105i \(0.256365\pi\)
\(510\) −54.9936 + 16.0008i −2.43516 + 0.708528i
\(511\) −6.71305 + 23.6102i −0.296968 + 1.04445i
\(512\) −27.9841 + 22.3166i −1.23673 + 0.986262i
\(513\) −15.9268 12.0218i −0.703186 0.530775i
\(514\) −35.3599 2.64986i −1.55966 0.116880i
\(515\) 18.9344 27.7716i 0.834349 1.22376i
\(516\) 15.0310 + 22.8256i 0.661705 + 1.00484i
\(517\) −6.65433 2.61163i −0.292657 0.114859i
\(518\) −49.9092 51.4519i −2.19288 2.26067i
\(519\) 1.63165 + 0.400084i 0.0716214 + 0.0175617i
\(520\) −92.1627 −4.04160
\(521\) −12.4877 + 21.6294i −0.547097 + 0.947599i 0.451375 + 0.892334i \(0.350934\pi\)
−0.998472 + 0.0552650i \(0.982400\pi\)
\(522\) 38.3544 + 13.1938i 1.67873 + 0.577477i
\(523\) 3.88554 + 12.5966i 0.169903 + 0.550811i 0.999977 0.00684222i \(-0.00217796\pi\)
−0.830074 + 0.557654i \(0.811702\pi\)
\(524\) 5.70592 76.1402i 0.249264 3.32620i
\(525\) −4.18729 + 28.9838i −0.182748 + 1.26496i
\(526\) −4.27370 57.0286i −0.186342 2.48657i
\(527\) −11.0480 + 4.33602i −0.481259 + 0.188880i
\(528\) 7.14985 + 12.8563i 0.311157 + 0.559501i
\(529\) 20.9288 6.45569i 0.909949 0.280682i
\(530\) 48.2359 + 32.8867i 2.09523 + 1.42851i
\(531\) 1.34544 + 0.702016i 0.0583870 + 0.0304649i
\(532\) 21.7195 33.4261i 0.941659 1.44921i
\(533\) −20.4514 + 22.0414i −0.885849 + 0.954719i
\(534\) 7.98255 19.4165i 0.345439 0.840233i
\(535\) 45.6008 36.3654i 1.97150 1.57222i
\(536\) −6.06249 + 1.38372i −0.261859 + 0.0597677i
\(537\) 3.04198 5.07874i 0.131271 0.219164i
\(538\) 18.6472 + 10.7660i 0.803938 + 0.464154i
\(539\) −15.8636 5.42722i −0.683292 0.233767i
\(540\) 49.1727 48.1242i 2.11606 2.07094i
\(541\) 0.784599 + 10.4697i 0.0337325 + 0.450129i 0.988340 + 0.152263i \(0.0486560\pi\)
−0.954607 + 0.297867i \(0.903725\pi\)
\(542\) −15.7255 + 14.5911i −0.675467 + 0.626742i
\(543\) 29.2419 + 14.6652i 1.25489 + 0.629344i
\(544\) 0.868472 2.81552i 0.0372354 0.120714i
\(545\) 19.1264 5.89972i 0.819286 0.252716i
\(546\) −64.8504 + 5.25934i −2.77534 + 0.225079i
\(547\) −15.2096 4.69153i −0.650315 0.200596i −0.0479914 0.998848i \(-0.515282\pi\)
−0.602323 + 0.798252i \(0.705758\pi\)
\(548\) 41.7562 61.2451i 1.78374 2.61626i
\(549\) −17.9610 + 13.4030i −0.766558 + 0.572025i
\(550\) −30.7793 + 20.9850i −1.31243 + 0.894803i
\(551\) 13.3011 16.6790i 0.566646 0.710551i
\(552\) 7.28886 + 4.36576i 0.310234 + 0.185819i
\(553\) 3.59338 17.5270i 0.152806 0.745322i
\(554\) 11.9222 17.4867i 0.506527 0.742939i
\(555\) −63.6664 + 13.4596i −2.70249 + 0.571329i
\(556\) −9.38747 + 62.2818i −0.398118 + 2.64134i
\(557\) 25.1387 + 14.5138i 1.06516 + 0.614970i 0.926855 0.375420i \(-0.122502\pi\)
0.138304 + 0.990390i \(0.455835\pi\)
\(558\) 13.9545 16.3897i 0.590740 0.693832i
\(559\) −18.3434 14.6284i −0.775844 0.618715i
\(560\) 23.6828 + 21.0164i 1.00078 + 0.888104i
\(561\) −14.9288 7.48697i −0.630293 0.316100i
\(562\) −23.0806 + 3.47884i −0.973596 + 0.146746i
\(563\) −11.5520 + 5.56317i −0.486861 + 0.234460i −0.661177 0.750230i \(-0.729943\pi\)
0.174316 + 0.984690i \(0.444228\pi\)
\(564\) 15.6514 + 12.8981i 0.659041 + 0.543108i
\(565\) −27.8759 + 22.2303i −1.17275 + 0.935234i
\(566\) −29.1863 36.5984i −1.22679 1.53835i
\(567\) 15.6159 17.9762i 0.655808 0.754928i
\(568\) 30.4302 38.1583i 1.27682 1.60109i
\(569\) 1.33458i 0.0559486i 0.999609 + 0.0279743i \(0.00890566\pi\)
−0.999609 + 0.0279743i \(0.991094\pi\)
\(570\) −22.9120 49.5994i −0.959679 2.07749i
\(571\) −20.9491 + 26.2693i −0.876691 + 1.09934i 0.117645 + 0.993056i \(0.462466\pi\)
−0.994336 + 0.106280i \(0.966106\pi\)
\(572\) −40.1858 37.2870i −1.68025 1.55905i
\(573\) −19.6265 + 23.8160i −0.819909 + 0.994929i
\(574\) 33.0330 3.21366i 1.37877 0.134136i
\(575\) −2.90558 + 6.03350i −0.121171 + 0.251614i
\(576\) 5.08702 + 26.1292i 0.211959 + 1.08871i
\(577\) 14.9766 + 21.9666i 0.623483 + 0.914482i 0.999929 0.0119569i \(-0.00380608\pi\)
−0.376445 + 0.926439i \(0.622854\pi\)
\(578\) 0.569311 + 1.84566i 0.0236802 + 0.0767694i
\(579\) 8.98709 + 7.40616i 0.373491 + 0.307789i
\(580\) 50.0315 + 53.9211i 2.07744 + 2.23895i
\(581\) 43.4052 + 12.3413i 1.80075 + 0.512005i
\(582\) 6.33068 19.4112i 0.262415 0.804622i
\(583\) 3.78809 + 16.5967i 0.156886 + 0.687365i
\(584\) 42.9433 6.47266i 1.77701 0.267841i
\(585\) −27.3233 + 52.3659i −1.12968 + 2.16506i
\(586\) 56.5366 4.23683i 2.33550 0.175022i
\(587\) 9.56148 16.5610i 0.394645 0.683545i −0.598411 0.801189i \(-0.704201\pi\)
0.993056 + 0.117645i \(0.0375344\pi\)
\(588\) 38.0147 + 28.5939i 1.56770 + 1.17919i
\(589\) −5.66085 9.80488i −0.233251 0.404003i
\(590\) 2.34066 + 3.43311i 0.0963633 + 0.141339i
\(591\) 8.76993 + 11.3669i 0.360747 + 0.467572i
\(592\) −14.4214 + 36.7452i −0.592717 + 1.51022i
\(593\) 6.76974 6.28140i 0.278000 0.257946i −0.528833 0.848726i \(-0.677370\pi\)
0.806833 + 0.590780i \(0.201180\pi\)
\(594\) 30.2796 0.806350i 1.24239 0.0330849i
\(595\) −35.6556 4.56793i −1.46174 0.187267i
\(596\) −1.62092 + 5.25488i −0.0663953 + 0.215248i
\(597\) −5.02143 13.4244i −0.205513 0.549422i
\(598\) −14.5053 3.31074i −0.593166 0.135386i
\(599\) −3.79969 + 7.89014i −0.155251 + 0.322382i −0.964058 0.265692i \(-0.914400\pi\)
0.808807 + 0.588075i \(0.200114\pi\)
\(600\) 49.7495 14.4750i 2.03101 0.590939i
\(601\) −18.1034 26.5529i −0.738455 1.08311i −0.993236 0.116116i \(-0.962956\pi\)
0.254781 0.966999i \(-0.417997\pi\)
\(602\) 4.42684 + 25.5163i 0.180425 + 1.03997i
\(603\) −1.01111 + 3.85487i −0.0411757 + 0.156982i
\(604\) 44.5951 13.7558i 1.81455 0.559714i
\(605\) 17.5645 + 2.64742i 0.714098 + 0.107633i
\(606\) 39.0289 + 27.5378i 1.58544 + 1.11865i
\(607\) −13.1392 7.58594i −0.533305 0.307904i 0.209056 0.977904i \(-0.432961\pi\)
−0.742361 + 0.670000i \(0.766294\pi\)
\(608\) 2.77929 + 0.418911i 0.112715 + 0.0169891i
\(609\) 18.7669 + 17.2005i 0.760474 + 0.697001i
\(610\) −60.6750 + 9.14528i −2.45666 + 0.370282i
\(611\) −16.2072 6.36087i −0.655675 0.257333i
\(612\) 33.6813 + 33.3273i 1.36149 + 1.34718i
\(613\) −1.33515 + 17.8164i −0.0539263 + 0.719596i 0.903069 + 0.429495i \(0.141308\pi\)
−0.956996 + 0.290102i \(0.906311\pi\)
\(614\) 0.925195 + 1.16016i 0.0373378 + 0.0468201i
\(615\) 13.5069 26.9324i 0.544652 1.08602i
\(616\) 2.87234 + 29.5246i 0.115730 + 1.18958i
\(617\) 3.62309 24.0377i 0.145860 0.967719i −0.789431 0.613840i \(-0.789624\pi\)
0.935291 0.353880i \(-0.115138\pi\)
\(618\) −41.8095 3.80923i −1.68182 0.153230i
\(619\) −9.08053 + 5.24264i −0.364977 + 0.210720i −0.671262 0.741220i \(-0.734247\pi\)
0.306285 + 0.951940i \(0.400914\pi\)
\(620\) 36.3386 14.2619i 1.45939 0.572770i
\(621\) 4.64149 2.84714i 0.186257 0.114252i
\(622\) −24.4474 50.7655i −0.980250 2.03551i
\(623\) 9.45761 9.17404i 0.378911 0.367550i
\(624\) 17.4141 + 31.3128i 0.697123 + 1.25352i
\(625\) −5.88724 15.0004i −0.235490 0.600018i
\(626\) 59.1725 + 28.4960i 2.36501 + 1.13893i
\(627\) 4.93979 15.1465i 0.197276 0.604892i
\(628\) −34.8376 72.3411i −1.39017 2.88672i
\(629\) −9.97213 43.6907i −0.397615 1.74206i
\(630\) 60.9234 23.2148i 2.42725 0.924899i
\(631\) −4.52819 + 19.8393i −0.180265 + 0.789790i 0.801239 + 0.598345i \(0.204175\pi\)
−0.981503 + 0.191446i \(0.938682\pi\)
\(632\) −30.8612 + 7.04387i −1.22759 + 0.280190i
\(633\) −16.9492 + 0.996762i −0.673669 + 0.0396177i
\(634\) −3.14214 13.7666i −0.124790 0.546743i
\(635\) −16.4446 + 11.2117i −0.652584 + 0.444925i
\(636\) 4.38224 48.0987i 0.173767 1.90724i
\(637\) −38.6372 13.2185i −1.53086 0.523736i
\(638\) 32.3831i 1.28206i
\(639\) −12.6596 28.6028i −0.500804 1.13151i
\(640\) −20.0270 + 64.9259i −0.791636 + 2.56642i
\(641\) 17.8653 + 7.01163i 0.705638 + 0.276943i 0.690902 0.722949i \(-0.257214\pi\)
0.0147367 + 0.999891i \(0.495309\pi\)
\(642\) −67.3786 27.7009i −2.65922 1.09327i
\(643\) 3.29582 + 10.6848i 0.129974 + 0.421367i 0.997045 0.0768185i \(-0.0244762\pi\)
−0.867071 + 0.498185i \(0.834000\pi\)
\(644\) 6.32541 + 8.84940i 0.249256 + 0.348715i
\(645\) 21.7443 + 8.93955i 0.856179 + 0.351994i
\(646\) 33.8999 16.3253i 1.33377 0.642311i
\(647\) −5.40583 5.01588i −0.212525 0.197195i 0.566726 0.823906i \(-0.308210\pi\)
−0.779251 + 0.626712i \(0.784400\pi\)
\(648\) −40.3866 11.9918i −1.58654 0.471083i
\(649\) −0.180583 + 1.19809i −0.00708848 + 0.0470290i
\(650\) −74.9659 + 51.1109i −2.94040 + 2.00473i
\(651\) 12.1361 5.93624i 0.475651 0.232660i
\(652\) 4.17372 + 2.84560i 0.163456 + 0.111442i
\(653\) 20.0462 21.6046i 0.784467 0.845454i −0.206654 0.978414i \(-0.566258\pi\)
0.991121 + 0.132960i \(0.0424481\pi\)
\(654\) −18.0510 17.2966i −0.705852 0.676349i
\(655\) −32.8408 56.8819i −1.28320 2.22256i
\(656\) −9.13834 15.8281i −0.356792 0.617982i
\(657\) 9.05360 26.3189i 0.353214 1.02680i
\(658\) 8.72036 + 17.1256i 0.339955 + 0.667626i
\(659\) −1.47196 9.76584i −0.0573395 0.380423i −0.999034 0.0439527i \(-0.986005\pi\)
0.941694 0.336470i \(-0.109233\pi\)
\(660\) 49.1030 + 24.6258i 1.91133 + 0.958559i
\(661\) −10.9269 22.6900i −0.425008 0.882539i −0.998014 0.0629876i \(-0.979937\pi\)
0.573006 0.819551i \(-0.305777\pi\)
\(662\) −29.2421 60.7218i −1.13653 2.36002i
\(663\) −36.3604 18.2352i −1.41212 0.708197i
\(664\) −11.8994 78.9475i −0.461787 3.06376i
\(665\) −0.760557 34.2826i −0.0294931 1.32942i
\(666\) 53.3420 + 61.3263i 2.06696 + 2.37635i
\(667\) 2.91068 + 5.04144i 0.112702 + 0.195205i
\(668\) −27.7567 48.0759i −1.07394 1.86011i
\(669\) 6.78994 + 6.50614i 0.262514 + 0.251542i
\(670\) −7.42181 + 7.99880i −0.286729 + 0.309021i
\(671\) −14.7835 10.0792i −0.570710 0.389104i
\(672\) −0.726297 + 3.27440i −0.0280175 + 0.126313i
\(673\) 26.2441 17.8929i 1.01163 0.689721i 0.0603955 0.998175i \(-0.480764\pi\)
0.951239 + 0.308454i \(0.0998114\pi\)
\(674\) −10.9068 + 72.3617i −0.420113 + 2.78727i
\(675\) 6.52456 32.5585i 0.251130 1.25318i
\(676\) −60.4880 56.1247i −2.32646 2.15864i
\(677\) −26.4904 + 12.7571i −1.01811 + 0.490295i −0.867045 0.498230i \(-0.833984\pi\)
−0.151062 + 0.988524i \(0.548269\pi\)
\(678\) 41.1887 + 16.9336i 1.58184 + 0.650331i
\(679\) 8.50568 9.58482i 0.326418 0.367831i
\(680\) 18.7464 + 60.7743i 0.718891 + 2.33059i
\(681\) −25.3586 10.4255i −0.971745 0.399506i
\(682\) 15.9979 + 6.27871i 0.612590 + 0.240424i
\(683\) −4.30178 + 13.9460i −0.164603 + 0.533631i −0.999869 0.0162166i \(-0.994838\pi\)
0.835265 + 0.549847i \(0.185314\pi\)
\(684\) −26.6483 + 36.5092i −1.01892 + 1.39597i
\(685\) 63.7646i 2.43632i
\(686\) 22.2142 + 39.2204i 0.848142 + 1.49744i
\(687\) −2.61759 + 28.7302i −0.0998671 + 1.09612i
\(688\) 11.7833 8.03370i 0.449233 0.306282i
\(689\) 9.22623 + 40.4228i 0.351492 + 1.53999i
\(690\) 14.8831 0.875257i 0.566589 0.0333205i
\(691\) 37.7080 8.60660i 1.43448 0.327411i 0.566521 0.824047i \(-0.308289\pi\)
0.867958 + 0.496637i \(0.165432\pi\)
\(692\) 0.846783 3.71000i 0.0321899 0.141033i
\(693\) 17.6271 + 7.12104i 0.669598 + 0.270506i
\(694\) −1.02285 4.48139i −0.0388268 0.170111i
\(695\) 23.5086 + 48.8160i 0.891731 + 1.85170i
\(696\) 13.9652 42.8203i 0.529350 1.62310i
\(697\) 18.6945 + 9.00281i 0.708106 + 0.341006i
\(698\) −0.175002 0.445899i −0.00662394 0.0168775i
\(699\) −8.76527 15.7611i −0.331533 0.596139i
\(700\) 65.7965 + 8.42935i 2.48687 + 0.318600i
\(701\) −9.90780 20.5737i −0.374212 0.777060i 0.625783 0.779997i \(-0.284779\pi\)
−0.999996 + 0.00293710i \(0.999065\pi\)
\(702\) 73.7487 1.96394i 2.78347 0.0741242i
\(703\) 39.7948 15.6183i 1.50089 0.589055i
\(704\) −18.4056 + 10.6265i −0.693689 + 0.400502i
\(705\) 17.3745 + 1.58298i 0.654360 + 0.0596183i
\(706\) −11.9182 + 79.0722i −0.448548 + 2.97592i
\(707\) 15.5618 + 25.6241i 0.585263 + 0.963692i
\(708\) 1.54103 3.07275i 0.0579154 0.115481i
\(709\) 4.78149 + 5.99580i 0.179573 + 0.225177i 0.863469 0.504402i \(-0.168287\pi\)
−0.683896 + 0.729580i \(0.739716\pi\)
\(710\) 6.40005 85.4027i 0.240190 3.20511i
\(711\) −5.14709 + 19.6233i −0.193031 + 0.735930i
\(712\) −21.7005 8.51683i −0.813262 0.319182i
\(713\) 3.05492 0.460455i 0.114408 0.0172442i
\(714\) 16.6590 + 41.6941i 0.623449 + 1.56036i
\(715\) −46.6309 7.02847i −1.74389 0.262850i
\(716\) −11.6133 6.70491i −0.434008 0.250574i
\(717\) 16.3116 + 11.5091i 0.609169 + 0.429814i
\(718\) −46.9938 7.08318i −1.75379 0.264342i
\(719\) 3.03747 0.936937i 0.113279 0.0349419i −0.237598 0.971364i \(-0.576360\pi\)
0.350876 + 0.936422i \(0.385884\pi\)
\(720\) −25.5208 25.2526i −0.951105 0.941109i
\(721\) −23.1060 12.6655i −0.860514 0.471686i
\(722\) −5.82997 8.55100i −0.216969 0.318235i
\(723\) −16.1241 + 4.69143i −0.599662 + 0.174476i
\(724\) 32.1509 66.7621i 1.19488 2.48119i
\(725\) 34.6099 + 7.89949i 1.28538 + 0.293380i
\(726\) −7.77292 20.7803i −0.288480 0.771227i
\(727\) −7.02974 + 22.7899i −0.260719 + 0.845229i 0.726680 + 0.686976i \(0.241062\pi\)
−0.987399 + 0.158253i \(0.949414\pi\)
\(728\) 6.99584 + 71.9098i 0.259283 + 2.66516i
\(729\) −18.7869 + 19.3920i −0.695812 + 0.718224i
\(730\) 55.8625 51.8328i 2.06756 1.91842i
\(731\) −5.91516 + 15.0716i −0.218780 + 0.557442i
\(732\) 31.0091 + 40.1916i 1.14613 + 1.48552i
\(733\) 10.3512 + 15.1825i 0.382331 + 0.560777i 0.968374 0.249503i \(-0.0802673\pi\)
−0.586043 + 0.810280i \(0.699315\pi\)
\(734\) 10.6965 + 18.5270i 0.394817 + 0.683842i
\(735\) 40.8752 + 1.90190i 1.50770 + 0.0701527i
\(736\) −0.383485 + 0.664216i −0.0141355 + 0.0244833i
\(737\) −3.17291 + 0.237777i −0.116876 + 0.00875863i
\(738\) −37.5985 + 1.60577i −1.38402 + 0.0591094i
\(739\) −19.5965 + 2.95370i −0.720869 + 0.108654i −0.499223 0.866474i \(-0.666381\pi\)
−0.221646 + 0.975127i \(0.571143\pi\)
\(740\) 32.7999 + 143.706i 1.20575 + 5.28272i
\(741\) 12.0313 36.8906i 0.441981 1.35521i
\(742\) 21.9983 40.1324i 0.807584 1.47331i
\(743\) −16.9810 18.3012i −0.622973 0.671405i 0.340180 0.940360i \(-0.389512\pi\)
−0.963153 + 0.268955i \(0.913322\pi\)
\(744\) −18.4464 15.2015i −0.676278 0.557312i
\(745\) 1.39436 + 4.52039i 0.0510853 + 0.165614i
\(746\) 7.70429 + 11.3001i 0.282074 + 0.413727i
\(747\) −48.3849 16.6442i −1.77031 0.608981i
\(748\) −16.4139 + 34.0838i −0.600152 + 1.24623i
\(749\) −31.8355 32.8196i −1.16324 1.19920i
\(750\) 12.5807 15.2662i 0.459381 0.557442i
\(751\) −13.1409 12.1930i −0.479520 0.444929i 0.403003 0.915198i \(-0.367966\pi\)
−0.882523 + 0.470269i \(0.844157\pi\)
\(752\) 6.59843 8.27417i 0.240620 0.301728i
\(753\) −0.257997 0.558506i −0.00940195 0.0203531i
\(754\) 78.8720i 2.87235i
\(755\) 25.0303 31.3870i 0.910946 1.14229i
\(756\) −41.2814 34.7140i −1.50139 1.26253i
\(757\) 17.7807 + 22.2962i 0.646249 + 0.810371i 0.991769 0.128041i \(-0.0408688\pi\)
−0.345520 + 0.938412i \(0.612297\pi\)
\(758\) 54.1752 43.2033i 1.96773 1.56921i
\(759\) 3.35495 + 2.76477i 0.121777 + 0.100355i
\(760\) −54.6618 + 26.3237i −1.98279 + 0.954862i
\(761\) 12.0797 1.82072i 0.437888 0.0660010i 0.0736010 0.997288i \(-0.476551\pi\)
0.364287 + 0.931287i \(0.381313\pi\)
\(762\) 22.2215 + 11.1444i 0.805001 + 0.403719i
\(763\) −6.05509 14.4755i −0.219209 0.524050i
\(764\) 54.6538 + 43.5849i 1.97730 + 1.57685i
\(765\) 40.0890 + 7.36610i 1.44942 + 0.266322i
\(766\) 21.9553 + 12.6759i 0.793279 + 0.458000i
\(767\) −0.439826 + 2.91805i −0.0158812 + 0.105365i
\(768\) 52.9566 11.1955i 1.91091 0.403982i
\(769\) −7.59702 + 11.1428i −0.273955 + 0.401819i −0.938418 0.345503i \(-0.887708\pi\)
0.664462 + 0.747322i \(0.268661\pi\)
\(770\) 33.3488 + 39.9664i 1.20181 + 1.44029i
\(771\) 21.6488 + 12.9668i 0.779662 + 0.466989i
\(772\) 16.4470 20.6239i 0.591940 0.742269i
\(773\) −33.8616 + 23.0864i −1.21792 + 0.830361i −0.989687 0.143246i