Properties

Label 65.2.t.a.7.5
Level $65$
Weight $2$
Character 65.7
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.t (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.519027613138\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} + \cdots)\)
Defining polynomial: \(x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + 1263 x^{4} + 78 x^{2} + 1\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 7.5
Root \(1.51805i\) of defining polynomial
Character \(\chi\) \(=\) 65.7
Dual form 65.2.t.a.28.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.31467 + 0.759023i) q^{2} +(0.175069 + 0.653367i) q^{3} +(0.152233 + 0.263675i) q^{4} +(-2.15400 + 0.600231i) q^{5} +(-0.265763 + 0.991842i) q^{6} +(-1.29744 - 2.24723i) q^{7} -2.57390i q^{8} +(2.20184 - 1.27123i) q^{9} +O(q^{10})\) \(q+(1.31467 + 0.759023i) q^{2} +(0.175069 + 0.653367i) q^{3} +(0.152233 + 0.263675i) q^{4} +(-2.15400 + 0.600231i) q^{5} +(-0.265763 + 0.991842i) q^{6} +(-1.29744 - 2.24723i) q^{7} -2.57390i q^{8} +(2.20184 - 1.27123i) q^{9} +(-3.28738 - 0.845834i) q^{10} +(1.29395 + 4.82908i) q^{11} +(-0.145625 + 0.145625i) q^{12} +(-2.37567 + 2.71223i) q^{13} -3.93915i q^{14} +(-0.769270 - 1.30227i) q^{15} +(2.25812 - 3.91117i) q^{16} +(0.0790751 + 0.0211881i) q^{17} +3.85958 q^{18} +(-2.71143 - 0.726525i) q^{19} +(-0.486175 - 0.476581i) q^{20} +(1.24113 - 1.24113i) q^{21} +(-1.96427 + 7.33077i) q^{22} +(-3.91925 + 1.05016i) q^{23} +(1.68170 - 0.450611i) q^{24} +(4.27945 - 2.58580i) q^{25} +(-5.18186 + 1.76249i) q^{26} +(2.65095 + 2.65095i) q^{27} +(0.395026 - 0.684205i) q^{28} +(4.31701 + 2.49243i) q^{29} +(-0.0228795 - 2.29595i) q^{30} +(-2.32124 - 2.32124i) q^{31} +(1.47921 - 0.854024i) q^{32} +(-2.92863 + 1.69085i) q^{33} +(0.0878751 + 0.0878751i) q^{34} +(4.14355 + 4.06178i) q^{35} +(0.670383 + 0.387046i) q^{36} +(-0.285750 + 0.494934i) q^{37} +(-3.01318 - 3.01318i) q^{38} +(-2.18799 - 1.07736i) q^{39} +(1.54493 + 5.54419i) q^{40} +(10.0563 - 2.69458i) q^{41} +(2.57371 - 0.689624i) q^{42} +(0.0354017 - 0.132121i) q^{43} +(-1.07633 + 1.07633i) q^{44} +(-3.97973 + 4.05984i) q^{45} +(-5.94960 - 1.59419i) q^{46} -2.30053 q^{47} +(2.95076 + 0.790653i) q^{48} +(0.133293 - 0.230870i) q^{49} +(7.58873 - 0.151261i) q^{50} +0.0553744i q^{51} +(-1.07680 - 0.213514i) q^{52} +(6.70735 - 6.70735i) q^{53} +(1.47298 + 5.49724i) q^{54} +(-5.68573 - 9.62518i) q^{55} +(-5.78416 + 3.33948i) q^{56} -1.89875i q^{57} +(3.78362 + 6.55343i) q^{58} +(-0.694109 + 2.59045i) q^{59} +(0.226268 - 0.401085i) q^{60} +(-2.74237 - 4.74992i) q^{61} +(-1.28978 - 4.81352i) q^{62} +(-5.71351 - 3.29870i) q^{63} -6.43957 q^{64} +(3.48923 - 7.26810i) q^{65} -5.13357 q^{66} +(-13.6718 - 7.89339i) q^{67} +(0.00645104 + 0.0240756i) q^{68} +(-1.37228 - 2.37686i) q^{69} +(2.36440 + 8.48494i) q^{70} +(-1.98951 + 7.42495i) q^{71} +(-3.27202 - 5.66731i) q^{72} +6.61894i q^{73} +(-0.751333 + 0.433783i) q^{74} +(2.43867 + 2.34336i) q^{75} +(-0.221202 - 0.825536i) q^{76} +(9.17326 - 9.17326i) q^{77} +(-2.05874 - 3.07710i) q^{78} +5.71054i q^{79} +(-2.51638 + 9.78006i) q^{80} +(2.54575 - 4.40937i) q^{81} +(15.2660 + 4.09050i) q^{82} +3.70736 q^{83} +(0.516194 + 0.138314i) q^{84} +(-0.183046 + 0.00182408i) q^{85} +(0.146824 - 0.146824i) q^{86} +(-0.872695 + 3.25694i) q^{87} +(12.4296 - 3.33050i) q^{88} +(-17.2829 + 4.63094i) q^{89} +(-8.31353 + 2.31664i) q^{90} +(9.17731 + 1.81973i) q^{91} +(-0.873538 - 0.873538i) q^{92} +(1.11024 - 1.92300i) q^{93} +(-3.02443 - 1.74616i) q^{94} +(6.27651 - 0.0625465i) q^{95} +(0.816956 + 0.816956i) q^{96} +(4.65043 - 2.68493i) q^{97} +(0.350471 - 0.202345i) q^{98} +(8.98794 + 8.98794i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 6q^{2} - 2q^{3} + 6q^{4} - 8q^{6} - 2q^{7} + 12q^{9} + O(q^{10}) \) \( 20q - 6q^{2} - 2q^{3} + 6q^{4} - 8q^{6} - 2q^{7} + 12q^{9} - 2q^{10} - 16q^{11} - 24q^{12} - 4q^{13} - 20q^{15} - 2q^{16} + 4q^{17} - 20q^{19} + 4q^{21} + 16q^{22} - 10q^{23} + 32q^{24} + 18q^{25} - 24q^{26} + 4q^{27} + 18q^{28} - 26q^{30} + 48q^{32} + 18q^{33} + 2q^{34} + 40q^{35} + 36q^{36} - 4q^{37} - 8q^{38} + 4q^{39} - 16q^{40} + 10q^{41} + 40q^{42} + 10q^{43} - 36q^{44} + 4q^{46} - 40q^{47} - 56q^{48} + 18q^{49} + 36q^{50} - 30q^{52} - 10q^{53} - 48q^{54} - 10q^{55} - 16q^{59} + 28q^{60} - 16q^{61} - 44q^{62} - 36q^{63} + 20q^{64} - 14q^{65} - 32q^{66} + 18q^{67} + 22q^{68} - 16q^{69} - 12q^{70} - 16q^{71} + 4q^{72} + 18q^{74} - 38q^{75} - 64q^{76} - 28q^{77} + 68q^{78} - 2q^{80} - 14q^{81} + 56q^{82} + 48q^{83} - 40q^{84} - 26q^{85} + 60q^{86} - 34q^{87} + 82q^{88} - 6q^{89} + 46q^{90} + 8q^{91} - 8q^{92} + 32q^{93} - 48q^{94} - 26q^{95} + 56q^{96} + 66q^{97} - 30q^{98} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.31467 + 0.759023i 0.929610 + 0.536710i 0.886688 0.462368i \(-0.153000\pi\)
0.0429217 + 0.999078i \(0.486333\pi\)
\(3\) 0.175069 + 0.653367i 0.101076 + 0.377222i 0.997871 0.0652261i \(-0.0207769\pi\)
−0.896794 + 0.442448i \(0.854110\pi\)
\(4\) 0.152233 + 0.263675i 0.0761163 + 0.131837i
\(5\) −2.15400 + 0.600231i −0.963299 + 0.268431i
\(6\) −0.265763 + 0.991842i −0.108497 + 0.404918i
\(7\) −1.29744 2.24723i −0.490387 0.849375i 0.509552 0.860440i \(-0.329811\pi\)
−0.999939 + 0.0110652i \(0.996478\pi\)
\(8\) 2.57390i 0.910011i
\(9\) 2.20184 1.27123i 0.733946 0.423744i
\(10\) −3.28738 0.845834i −1.03956 0.267476i
\(11\) 1.29395 + 4.82908i 0.390140 + 1.45602i 0.829902 + 0.557909i \(0.188396\pi\)
−0.439762 + 0.898114i \(0.644937\pi\)
\(12\) −0.145625 + 0.145625i −0.0420383 + 0.0420383i
\(13\) −2.37567 + 2.71223i −0.658892 + 0.752237i
\(14\) 3.93915i 1.05278i
\(15\) −0.769270 1.30227i −0.198625 0.336245i
\(16\) 2.25812 3.91117i 0.564529 0.977793i
\(17\) 0.0790751 + 0.0211881i 0.0191785 + 0.00513887i 0.268396 0.963309i \(-0.413507\pi\)
−0.249217 + 0.968448i \(0.580173\pi\)
\(18\) 3.85958 0.909711
\(19\) −2.71143 0.726525i −0.622045 0.166676i −0.0659876 0.997820i \(-0.521020\pi\)
−0.556057 + 0.831144i \(0.687686\pi\)
\(20\) −0.486175 0.476581i −0.108712 0.106567i
\(21\) 1.24113 1.24113i 0.270836 0.270836i
\(22\) −1.96427 + 7.33077i −0.418785 + 1.56293i
\(23\) −3.91925 + 1.05016i −0.817220 + 0.218973i −0.643131 0.765756i \(-0.722365\pi\)
−0.174089 + 0.984730i \(0.555698\pi\)
\(24\) 1.68170 0.450611i 0.343276 0.0919805i
\(25\) 4.27945 2.58580i 0.855889 0.517159i
\(26\) −5.18186 + 1.76249i −1.01625 + 0.345653i
\(27\) 2.65095 + 2.65095i 0.510175 + 0.510175i
\(28\) 0.395026 0.684205i 0.0746528 0.129303i
\(29\) 4.31701 + 2.49243i 0.801649 + 0.462833i 0.844048 0.536268i \(-0.180166\pi\)
−0.0423981 + 0.999101i \(0.513500\pi\)
\(30\) −0.0228795 2.29595i −0.00417721 0.419181i
\(31\) −2.32124 2.32124i −0.416906 0.416906i 0.467230 0.884136i \(-0.345252\pi\)
−0.884136 + 0.467230i \(0.845252\pi\)
\(32\) 1.47921 0.854024i 0.261490 0.150972i
\(33\) −2.92863 + 1.69085i −0.509809 + 0.294339i
\(34\) 0.0878751 + 0.0878751i 0.0150705 + 0.0150705i
\(35\) 4.14355 + 4.06178i 0.700388 + 0.686566i
\(36\) 0.670383 + 0.387046i 0.111730 + 0.0645076i
\(37\) −0.285750 + 0.494934i −0.0469771 + 0.0813667i −0.888558 0.458765i \(-0.848292\pi\)
0.841581 + 0.540131i \(0.181625\pi\)
\(38\) −3.01318 3.01318i −0.488802 0.488802i
\(39\) −2.18799 1.07736i −0.350359 0.172515i
\(40\) 1.54493 + 5.54419i 0.244276 + 0.876613i
\(41\) 10.0563 2.69458i 1.57053 0.420823i 0.634554 0.772879i \(-0.281184\pi\)
0.935979 + 0.352056i \(0.114517\pi\)
\(42\) 2.57371 0.689624i 0.397132 0.106411i
\(43\) 0.0354017 0.132121i 0.00539871 0.0201483i −0.963174 0.268879i \(-0.913347\pi\)
0.968573 + 0.248731i \(0.0800135\pi\)
\(44\) −1.07633 + 1.07633i −0.162262 + 0.162262i
\(45\) −3.97973 + 4.05984i −0.593263 + 0.605206i
\(46\) −5.94960 1.59419i −0.877221 0.235051i
\(47\) −2.30053 −0.335567 −0.167784 0.985824i \(-0.553661\pi\)
−0.167784 + 0.985824i \(0.553661\pi\)
\(48\) 2.95076 + 0.790653i 0.425905 + 0.114121i
\(49\) 0.133293 0.230870i 0.0190418 0.0329814i
\(50\) 7.58873 0.151261i 1.07321 0.0213915i
\(51\) 0.0553744i 0.00775397i
\(52\) −1.07680 0.213514i −0.149325 0.0296090i
\(53\) 6.70735 6.70735i 0.921326 0.921326i −0.0757974 0.997123i \(-0.524150\pi\)
0.997123 + 0.0757974i \(0.0241502\pi\)
\(54\) 1.47298 + 5.49724i 0.200447 + 0.748080i
\(55\) −5.68573 9.62518i −0.766664 1.29786i
\(56\) −5.78416 + 3.33948i −0.772941 + 0.446257i
\(57\) 1.89875i 0.251496i
\(58\) 3.78362 + 6.55343i 0.496814 + 0.860507i
\(59\) −0.694109 + 2.59045i −0.0903653 + 0.337248i −0.996276 0.0862207i \(-0.972521\pi\)
0.905911 + 0.423469i \(0.139188\pi\)
\(60\) 0.226268 0.401085i 0.0292111 0.0517799i
\(61\) −2.74237 4.74992i −0.351124 0.608165i 0.635322 0.772247i \(-0.280867\pi\)
−0.986447 + 0.164082i \(0.947534\pi\)
\(62\) −1.28978 4.81352i −0.163802 0.611318i
\(63\) −5.71351 3.29870i −0.719834 0.415597i
\(64\) −6.43957 −0.804946
\(65\) 3.48923 7.26810i 0.432786 0.901497i
\(66\) −5.13357 −0.631899
\(67\) −13.6718 7.89339i −1.67027 0.964331i −0.967485 0.252930i \(-0.918606\pi\)
−0.702786 0.711401i \(-0.748061\pi\)
\(68\) 0.00645104 + 0.0240756i 0.000782303 + 0.00291960i
\(69\) −1.37228 2.37686i −0.165203 0.286140i
\(70\) 2.36440 + 8.48494i 0.282600 + 1.01414i
\(71\) −1.98951 + 7.42495i −0.236111 + 0.881180i 0.741533 + 0.670916i \(0.234099\pi\)
−0.977645 + 0.210264i \(0.932568\pi\)
\(72\) −3.27202 5.66731i −0.385612 0.667899i
\(73\) 6.61894i 0.774688i 0.921935 + 0.387344i \(0.126607\pi\)
−0.921935 + 0.387344i \(0.873393\pi\)
\(74\) −0.751333 + 0.433783i −0.0873407 + 0.0504262i
\(75\) 2.43867 + 2.34336i 0.281594 + 0.270587i
\(76\) −0.221202 0.825536i −0.0253736 0.0946955i
\(77\) 9.17326 9.17326i 1.04539 1.04539i
\(78\) −2.05874 3.07710i −0.233106 0.348413i
\(79\) 5.71054i 0.642486i 0.946997 + 0.321243i \(0.104101\pi\)
−0.946997 + 0.321243i \(0.895899\pi\)
\(80\) −2.51638 + 9.78006i −0.281340 + 1.09344i
\(81\) 2.54575 4.40937i 0.282861 0.489930i
\(82\) 15.2660 + 4.09050i 1.68584 + 0.451720i
\(83\) 3.70736 0.406936 0.203468 0.979082i \(-0.434779\pi\)
0.203468 + 0.979082i \(0.434779\pi\)
\(84\) 0.516194 + 0.138314i 0.0563213 + 0.0150913i
\(85\) −0.183046 + 0.00182408i −0.0198541 + 0.000197849i
\(86\) 0.146824 0.146824i 0.0158325 0.0158325i
\(87\) −0.872695 + 3.25694i −0.0935627 + 0.349181i
\(88\) 12.4296 3.33050i 1.32500 0.355032i
\(89\) −17.2829 + 4.63094i −1.83198 + 0.490878i −0.998131 0.0611111i \(-0.980536\pi\)
−0.833851 + 0.551989i \(0.813869\pi\)
\(90\) −8.31353 + 2.31664i −0.876323 + 0.244195i
\(91\) 9.17731 + 1.81973i 0.962043 + 0.190759i
\(92\) −0.873538 0.873538i −0.0910726 0.0910726i
\(93\) 1.11024 1.92300i 0.115127 0.199405i
\(94\) −3.02443 1.74616i −0.311946 0.180102i
\(95\) 6.27651 0.0625465i 0.643956 0.00641713i
\(96\) 0.816956 + 0.816956i 0.0833802 + 0.0833802i
\(97\) 4.65043 2.68493i 0.472180 0.272613i −0.244972 0.969530i \(-0.578779\pi\)
0.717152 + 0.696917i \(0.245445\pi\)
\(98\) 0.350471 0.202345i 0.0354029 0.0204399i
\(99\) 8.98794 + 8.98794i 0.903322 + 0.903322i
\(100\) 1.33328 + 0.734739i 0.133328 + 0.0734739i
\(101\) 2.17443 + 1.25541i 0.216363 + 0.124918i 0.604265 0.796783i \(-0.293467\pi\)
−0.387902 + 0.921701i \(0.626800\pi\)
\(102\) −0.0420305 + 0.0727989i −0.00416164 + 0.00720817i
\(103\) 4.71738 + 4.71738i 0.464817 + 0.464817i 0.900230 0.435414i \(-0.143398\pi\)
−0.435414 + 0.900230i \(0.643398\pi\)
\(104\) 6.98101 + 6.11474i 0.684545 + 0.599599i
\(105\) −1.92843 + 3.41835i −0.188195 + 0.333597i
\(106\) 13.9090 3.72690i 1.35096 0.361988i
\(107\) −3.50497 + 0.939155i −0.338838 + 0.0907915i −0.424226 0.905556i \(-0.639454\pi\)
0.0853876 + 0.996348i \(0.472787\pi\)
\(108\) −0.295427 + 1.10255i −0.0284275 + 0.106093i
\(109\) 1.58528 1.58528i 0.151843 0.151843i −0.627098 0.778941i \(-0.715757\pi\)
0.778941 + 0.627098i \(0.215757\pi\)
\(110\) −0.169104 16.9695i −0.0161234 1.61798i
\(111\) −0.373400 0.100052i −0.0354416 0.00949653i
\(112\) −11.7191 −1.10735
\(113\) −5.53206 1.48231i −0.520412 0.139444i −0.0109551 0.999940i \(-0.503487\pi\)
−0.509457 + 0.860496i \(0.670154\pi\)
\(114\) 1.44120 2.49623i 0.134980 0.233793i
\(115\) 7.81173 4.61450i 0.728448 0.430304i
\(116\) 1.51772i 0.140916i
\(117\) −1.78297 + 8.99191i −0.164835 + 0.831303i
\(118\) −2.87873 + 2.87873i −0.265009 + 0.265009i
\(119\) −0.0549806 0.205190i −0.00504007 0.0188098i
\(120\) −3.35192 + 1.98003i −0.305987 + 0.180751i
\(121\) −12.1195 + 6.99717i −1.10177 + 0.636106i
\(122\) 8.32609i 0.753809i
\(123\) 3.52110 + 6.09873i 0.317487 + 0.549904i
\(124\) 0.258683 0.965419i 0.0232304 0.0866972i
\(125\) −7.66586 + 8.13846i −0.685655 + 0.727926i
\(126\) −5.00757 8.67337i −0.446110 0.772685i
\(127\) 0.210801 + 0.786718i 0.0187055 + 0.0698100i 0.974648 0.223745i \(-0.0718283\pi\)
−0.955942 + 0.293555i \(0.905162\pi\)
\(128\) −11.4243 6.59583i −1.00978 0.582994i
\(129\) 0.0925213 0.00814605
\(130\) 10.1038 6.90672i 0.886165 0.605759i
\(131\) −16.1062 −1.40721 −0.703604 0.710592i \(-0.748427\pi\)
−0.703604 + 0.710592i \(0.748427\pi\)
\(132\) −0.891667 0.514804i −0.0776096 0.0448079i
\(133\) 1.88525 + 7.03584i 0.163472 + 0.610085i
\(134\) −11.9825 20.7544i −1.03513 1.79290i
\(135\) −7.30133 4.11897i −0.628398 0.354504i
\(136\) 0.0545361 0.203531i 0.00467643 0.0174527i
\(137\) 9.61871 + 16.6601i 0.821782 + 1.42337i 0.904354 + 0.426783i \(0.140353\pi\)
−0.0825721 + 0.996585i \(0.526313\pi\)
\(138\) 4.16637i 0.354665i
\(139\) 13.7257 7.92451i 1.16419 0.672148i 0.211889 0.977294i \(-0.432038\pi\)
0.952306 + 0.305146i \(0.0987052\pi\)
\(140\) −0.440205 + 1.71088i −0.0372041 + 0.144596i
\(141\) −0.402752 1.50309i −0.0339178 0.126583i
\(142\) −8.25125 + 8.25125i −0.692430 + 0.692430i
\(143\) −16.1716 7.96282i −1.35234 0.665884i
\(144\) 11.4823i 0.956862i
\(145\) −10.7949 2.77749i −0.896467 0.230658i
\(146\) −5.02393 + 8.70170i −0.415783 + 0.720158i
\(147\) 0.174178 + 0.0466709i 0.0143660 + 0.00384935i
\(148\) −0.174002 −0.0143029
\(149\) −1.39120 0.372772i −0.113972 0.0305387i 0.201382 0.979513i \(-0.435457\pi\)
−0.315354 + 0.948974i \(0.602123\pi\)
\(150\) 1.42738 + 4.93174i 0.116545 + 0.402675i
\(151\) 13.9253 13.9253i 1.13322 1.13322i 0.143585 0.989638i \(-0.454137\pi\)
0.989638 0.143585i \(-0.0458631\pi\)
\(152\) −1.87000 + 6.97895i −0.151677 + 0.566068i
\(153\) 0.201045 0.0538699i 0.0162536 0.00435513i
\(154\) 19.0225 5.09706i 1.53288 0.410733i
\(155\) 6.39322 + 3.60667i 0.513516 + 0.289695i
\(156\) −0.0490117 0.740926i −0.00392408 0.0593215i
\(157\) 4.54644 + 4.54644i 0.362845 + 0.362845i 0.864859 0.502014i \(-0.167408\pi\)
−0.502014 + 0.864859i \(0.667408\pi\)
\(158\) −4.33444 + 7.50746i −0.344829 + 0.597262i
\(159\) 5.55661 + 3.20811i 0.440668 + 0.254420i
\(160\) −2.67362 + 2.72744i −0.211368 + 0.215623i
\(161\) 7.44495 + 7.44495i 0.586744 + 0.586744i
\(162\) 6.69363 3.86457i 0.525901 0.303629i
\(163\) 11.3759 6.56789i 0.891031 0.514437i 0.0167516 0.999860i \(-0.494668\pi\)
0.874280 + 0.485423i \(0.161334\pi\)
\(164\) 2.24139 + 2.24139i 0.175023 + 0.175023i
\(165\) 5.29338 5.39994i 0.412089 0.420385i
\(166\) 4.87395 + 2.81398i 0.378292 + 0.218407i
\(167\) −1.64258 + 2.84503i −0.127107 + 0.220155i −0.922554 0.385867i \(-0.873902\pi\)
0.795448 + 0.606022i \(0.207236\pi\)
\(168\) −3.19454 3.19454i −0.246464 0.246464i
\(169\) −1.71239 12.8867i −0.131722 0.991287i
\(170\) −0.242028 0.136538i −0.0185627 0.0104720i
\(171\) −6.89371 + 1.84716i −0.527175 + 0.141256i
\(172\) 0.0402263 0.0107786i 0.00306722 0.000821860i
\(173\) −1.09689 + 4.09367i −0.0833953 + 0.311236i −0.995005 0.0998202i \(-0.968173\pi\)
0.911610 + 0.411056i \(0.134840\pi\)
\(174\) −3.61940 + 3.61940i −0.274386 + 0.274386i
\(175\) −11.3632 6.26200i −0.858979 0.473363i
\(176\) 21.8093 + 5.84377i 1.64393 + 0.440491i
\(177\) −1.81403 −0.136351
\(178\) −26.2362 7.02997i −1.96649 0.526919i
\(179\) −6.98083 + 12.0912i −0.521772 + 0.903735i 0.477907 + 0.878410i \(0.341395\pi\)
−0.999679 + 0.0253252i \(0.991938\pi\)
\(180\) −1.67632 0.431313i −0.124946 0.0321481i
\(181\) 8.64775i 0.642782i 0.946947 + 0.321391i \(0.104150\pi\)
−0.946947 + 0.321391i \(0.895850\pi\)
\(182\) 10.6839 + 9.35812i 0.791942 + 0.693670i
\(183\) 2.62334 2.62334i 0.193923 0.193923i
\(184\) 2.70301 + 10.0878i 0.199268 + 0.743680i
\(185\) 0.318432 1.23761i 0.0234116 0.0909906i
\(186\) 2.91920 1.68540i 0.214046 0.123579i
\(187\) 0.409276i 0.0299292i
\(188\) −0.350216 0.606592i −0.0255421 0.0442402i
\(189\) 2.51785 9.39675i 0.183147 0.683513i
\(190\) 8.29899 + 4.68179i 0.602072 + 0.339653i
\(191\) −8.45647 14.6470i −0.611889 1.05982i −0.990922 0.134439i \(-0.957077\pi\)
0.379033 0.925383i \(-0.376257\pi\)
\(192\) −1.12737 4.20740i −0.0813609 0.303643i
\(193\) 7.40936 + 4.27780i 0.533338 + 0.307923i 0.742375 0.669985i \(-0.233700\pi\)
−0.209037 + 0.977908i \(0.567033\pi\)
\(194\) 8.15169 0.585257
\(195\) 5.35959 + 1.00733i 0.383808 + 0.0721364i
\(196\) 0.0811660 0.00579757
\(197\) −6.63101 3.82842i −0.472440 0.272764i 0.244820 0.969568i \(-0.421271\pi\)
−0.717261 + 0.696805i \(0.754604\pi\)
\(198\) 4.99409 + 18.6382i 0.354915 + 1.32456i
\(199\) 7.66380 + 13.2741i 0.543272 + 0.940975i 0.998713 + 0.0507092i \(0.0161482\pi\)
−0.455441 + 0.890266i \(0.650519\pi\)
\(200\) −6.65558 11.0149i −0.470621 0.778869i
\(201\) 2.76378 10.3146i 0.194942 0.727533i
\(202\) 1.90576 + 3.30088i 0.134089 + 0.232249i
\(203\) 12.9351i 0.907868i
\(204\) −0.0146008 + 0.00842979i −0.00102226 + 0.000590203i
\(205\) −20.0440 + 11.8402i −1.39993 + 0.826959i
\(206\) 2.62118 + 9.78238i 0.182626 + 0.681570i
\(207\) −7.29455 + 7.29455i −0.507006 + 0.507006i
\(208\) 5.24346 + 15.4162i 0.363569 + 1.06892i
\(209\) 14.0338i 0.970739i
\(210\) −5.12985 + 3.03027i −0.353993 + 0.209109i
\(211\) −9.91788 + 17.1783i −0.682775 + 1.18260i 0.291355 + 0.956615i \(0.405894\pi\)
−0.974130 + 0.225986i \(0.927440\pi\)
\(212\) 2.78964 + 0.747481i 0.191593 + 0.0513372i
\(213\) −5.19952 −0.356265
\(214\) −5.32071 1.42568i −0.363716 0.0974575i
\(215\) 0.00304773 + 0.305838i 0.000207854 + 0.0208580i
\(216\) 6.82328 6.82328i 0.464265 0.464265i
\(217\) −2.20469 + 8.22803i −0.149664 + 0.558555i
\(218\) 3.28739 0.880853i 0.222650 0.0596589i
\(219\) −4.32460 + 1.15877i −0.292229 + 0.0783025i
\(220\) 1.67236 2.96445i 0.112751 0.199863i
\(221\) −0.245323 + 0.164134i −0.0165022 + 0.0110408i
\(222\) −0.414955 0.414955i −0.0278499 0.0278499i
\(223\) 9.48653 16.4311i 0.635265 1.10031i −0.351194 0.936303i \(-0.614224\pi\)
0.986459 0.164008i \(-0.0524424\pi\)
\(224\) −3.83838 2.21609i −0.256463 0.148069i
\(225\) 6.13550 11.1337i 0.409033 0.742244i
\(226\) −6.14771 6.14771i −0.408939 0.408939i
\(227\) 23.3469 13.4794i 1.54959 0.894656i 0.551417 0.834230i \(-0.314087\pi\)
0.998173 0.0604265i \(-0.0192461\pi\)
\(228\) 0.500652 0.289052i 0.0331565 0.0191429i
\(229\) −11.1801 11.1801i −0.738799 0.738799i 0.233547 0.972346i \(-0.424967\pi\)
−0.972346 + 0.233547i \(0.924967\pi\)
\(230\) 13.7723 0.137244i 0.908121 0.00904959i
\(231\) 7.59946 + 4.38755i 0.500008 + 0.288680i
\(232\) 6.41527 11.1116i 0.421183 0.729510i
\(233\) 6.75797 + 6.75797i 0.442729 + 0.442729i 0.892928 0.450199i \(-0.148647\pi\)
−0.450199 + 0.892928i \(0.648647\pi\)
\(234\) −9.16908 + 10.4681i −0.599401 + 0.684318i
\(235\) 4.95535 1.38085i 0.323251 0.0900767i
\(236\) −0.788702 + 0.211332i −0.0513401 + 0.0137565i
\(237\) −3.73108 + 0.999740i −0.242360 + 0.0649401i
\(238\) 0.0834631 0.311489i 0.00541011 0.0201908i
\(239\) 1.98766 1.98766i 0.128571 0.128571i −0.639893 0.768464i \(-0.721021\pi\)
0.768464 + 0.639893i \(0.221021\pi\)
\(240\) −6.83051 + 0.0680672i −0.440907 + 0.00439372i
\(241\) −2.65141 0.710443i −0.170792 0.0457637i 0.172409 0.985025i \(-0.444845\pi\)
−0.343202 + 0.939262i \(0.611511\pi\)
\(242\) −21.2441 −1.36562
\(243\) 14.1904 + 3.80231i 0.910315 + 0.243918i
\(244\) 0.834956 1.44619i 0.0534526 0.0925826i
\(245\) −0.148538 + 0.577300i −0.00948972 + 0.0368824i
\(246\) 10.6904i 0.681595i
\(247\) 8.41197 5.62804i 0.535241 0.358104i
\(248\) −5.97463 + 5.97463i −0.379389 + 0.379389i
\(249\) 0.649045 + 2.42227i 0.0411316 + 0.153505i
\(250\) −16.2553 + 4.88080i −1.02808 + 0.308689i
\(251\) −2.45414 + 1.41690i −0.154904 + 0.0894337i −0.575448 0.817838i \(-0.695172\pi\)
0.420545 + 0.907272i \(0.361839\pi\)
\(252\) 2.00868i 0.126535i
\(253\) −10.1426 17.5675i −0.637661 1.10446i
\(254\) −0.320005 + 1.19428i −0.0200789 + 0.0749355i
\(255\) −0.0332374 0.119277i −0.00208141 0.00746939i
\(256\) −3.57321 6.18898i −0.223325 0.386811i
\(257\) −5.19242 19.3784i −0.323894 1.20879i −0.915419 0.402502i \(-0.868141\pi\)
0.591525 0.806287i \(-0.298526\pi\)
\(258\) 0.121635 + 0.0702258i 0.00757265 + 0.00437207i
\(259\) 1.48298 0.0921478
\(260\) 2.44759 0.186420i 0.151793 0.0115613i
\(261\) 12.6738 0.784490
\(262\) −21.1743 12.2250i −1.30815 0.755264i
\(263\) 2.43854 + 9.10077i 0.150367 + 0.561177i 0.999458 + 0.0329302i \(0.0104839\pi\)
−0.849091 + 0.528247i \(0.822849\pi\)
\(264\) 4.35207 + 7.53801i 0.267851 + 0.463932i
\(265\) −10.4217 + 18.4736i −0.640199 + 1.13482i
\(266\) −2.86189 + 10.6807i −0.175474 + 0.654878i
\(267\) −6.05140 10.4813i −0.370340 0.641447i
\(268\) 4.80653i 0.293605i
\(269\) −2.78417 + 1.60744i −0.169754 + 0.0980075i −0.582470 0.812852i \(-0.697914\pi\)
0.412716 + 0.910860i \(0.364580\pi\)
\(270\) −6.47242 10.9569i −0.393899 0.666818i
\(271\) −3.93065 14.6694i −0.238770 0.891102i −0.976413 0.215911i \(-0.930728\pi\)
0.737643 0.675191i \(-0.235939\pi\)
\(272\) 0.261431 0.261431i 0.0158516 0.0158516i
\(273\) 0.417715 + 6.31473i 0.0252812 + 0.382185i
\(274\) 29.2033i 1.76424i
\(275\) 18.0244 + 17.3199i 1.08691 + 1.04443i
\(276\) 0.417811 0.723671i 0.0251493 0.0435598i
\(277\) 10.3015 + 2.76028i 0.618956 + 0.165849i 0.554653 0.832082i \(-0.312851\pi\)
0.0643031 + 0.997930i \(0.479518\pi\)
\(278\) 24.0595 1.44300
\(279\) −8.06181 2.16016i −0.482648 0.129325i
\(280\) 10.4546 10.6651i 0.624783 0.637361i
\(281\) −12.7630 + 12.7630i −0.761379 + 0.761379i −0.976572 0.215193i \(-0.930962\pi\)
0.215193 + 0.976572i \(0.430962\pi\)
\(282\) 0.611396 2.28176i 0.0364081 0.135877i
\(283\) −5.56143 + 1.49018i −0.330592 + 0.0885820i −0.420297 0.907386i \(-0.638074\pi\)
0.0897050 + 0.995968i \(0.471408\pi\)
\(284\) −2.26064 + 0.605736i −0.134144 + 0.0359438i
\(285\) 1.13969 + 4.08991i 0.0675093 + 0.242266i
\(286\) −15.2163 22.7431i −0.899757 1.34483i
\(287\) −19.1028 19.1028i −1.12760 1.12760i
\(288\) 2.17132 3.76084i 0.127946 0.221610i
\(289\) −14.7166 8.49665i −0.865684 0.499803i
\(290\) −12.0835 11.8450i −0.709568 0.695565i
\(291\) 2.56839 + 2.56839i 0.150562 + 0.150562i
\(292\) −1.74525 + 1.00762i −0.102133 + 0.0589664i
\(293\) 2.76788 1.59804i 0.161701 0.0933583i −0.416966 0.908922i \(-0.636906\pi\)
0.578667 + 0.815564i \(0.303573\pi\)
\(294\) 0.193562 + 0.193562i 0.0112888 + 0.0112888i
\(295\) −0.0597558 5.99646i −0.00347912 0.349127i
\(296\) 1.27391 + 0.735493i 0.0740446 + 0.0427497i
\(297\) −9.37145 + 16.2318i −0.543787 + 0.941867i
\(298\) −1.54603 1.54603i −0.0895590 0.0895590i
\(299\) 6.46257 13.1247i 0.373740 0.759023i
\(300\) −0.246638 + 0.999751i −0.0142396 + 0.0577207i
\(301\) −0.342839 + 0.0918633i −0.0197609 + 0.00529491i
\(302\) 28.8767 7.73749i 1.66167 0.445243i
\(303\) −0.439566 + 1.64048i −0.0252524 + 0.0942432i
\(304\) −8.96429 + 8.96429i −0.514137 + 0.514137i
\(305\) 8.75812 + 8.58529i 0.501488 + 0.491592i
\(306\) 0.305196 + 0.0817771i 0.0174469 + 0.00467488i
\(307\) 24.2740 1.38539 0.692695 0.721231i \(-0.256423\pi\)
0.692695 + 0.721231i \(0.256423\pi\)
\(308\) 3.81522 + 1.02229i 0.217393 + 0.0582501i
\(309\) −2.25631 + 3.90804i −0.128357 + 0.222321i
\(310\) 5.66741 + 9.59417i 0.321887 + 0.544912i
\(311\) 16.9053i 0.958614i −0.877647 0.479307i \(-0.840888\pi\)
0.877647 0.479307i \(-0.159112\pi\)
\(312\) −2.77301 + 5.63167i −0.156991 + 0.318830i
\(313\) −8.40997 + 8.40997i −0.475359 + 0.475359i −0.903644 0.428285i \(-0.859118\pi\)
0.428285 + 0.903644i \(0.359118\pi\)
\(314\) 2.52620 + 9.42790i 0.142562 + 0.532047i
\(315\) 14.2869 + 3.67597i 0.804975 + 0.207118i
\(316\) −1.50573 + 0.869331i −0.0847037 + 0.0489037i
\(317\) 11.9484i 0.671087i 0.942025 + 0.335543i \(0.108920\pi\)
−0.942025 + 0.335543i \(0.891080\pi\)
\(318\) 4.87006 + 8.43520i 0.273100 + 0.473022i
\(319\) −6.45015 + 24.0723i −0.361139 + 1.34779i
\(320\) 13.8708 3.86523i 0.775403 0.216073i
\(321\) −1.22723 2.12562i −0.0684970 0.118640i
\(322\) 4.13674 + 15.4385i 0.230531 + 0.860355i
\(323\) −0.199013 0.114900i −0.0110734 0.00639321i
\(324\) 1.55018 0.0861214
\(325\) −3.15328 + 17.7498i −0.174912 + 0.984584i
\(326\) 19.9407 1.10442
\(327\) 1.31331 + 0.758238i 0.0726260 + 0.0419307i
\(328\) −6.93559 25.8840i −0.382954 1.42920i
\(329\) 2.98480 + 5.16983i 0.164558 + 0.285022i
\(330\) 11.0577 3.08133i 0.608707 0.169621i
\(331\) −5.55136 + 20.7179i −0.305130 + 1.13876i 0.627703 + 0.778453i \(0.283995\pi\)
−0.932833 + 0.360308i \(0.882671\pi\)
\(332\) 0.564382 + 0.977538i 0.0309745 + 0.0536494i
\(333\) 1.45302i 0.0796250i
\(334\) −4.31889 + 2.49351i −0.236319 + 0.136439i
\(335\) 34.1868 + 8.79617i 1.86783 + 0.480586i
\(336\) −2.05165 7.65687i −0.111927 0.417716i
\(337\) 14.1264 14.1264i 0.769514 0.769514i −0.208507 0.978021i \(-0.566860\pi\)
0.978021 + 0.208507i \(0.0668604\pi\)
\(338\) 7.53011 18.2415i 0.409584 0.992206i
\(339\) 3.87397i 0.210405i
\(340\) −0.0283465 0.0479868i −0.00153730 0.00260245i
\(341\) 8.20588 14.2130i 0.444373 0.769677i
\(342\) −10.4650 2.80408i −0.565881 0.151627i
\(343\) −18.8559 −1.01812
\(344\) −0.340067 0.0911205i −0.0183352 0.00491289i
\(345\) 4.38256 + 4.29607i 0.235949 + 0.231293i
\(346\) −4.54924 + 4.54924i −0.244569 + 0.244569i
\(347\) −6.37467 + 23.7906i −0.342210 + 1.27715i 0.553627 + 0.832765i \(0.313243\pi\)
−0.895837 + 0.444382i \(0.853423\pi\)
\(348\) −0.991626 + 0.265705i −0.0531567 + 0.0142433i
\(349\) 26.3190 7.05214i 1.40882 0.377493i 0.527317 0.849669i \(-0.323198\pi\)
0.881504 + 0.472176i \(0.156531\pi\)
\(350\) −10.1858 16.8574i −0.544456 0.901065i
\(351\) −13.4878 + 0.892205i −0.719923 + 0.0476224i
\(352\) 6.03818 + 6.03818i 0.321836 + 0.321836i
\(353\) 4.39963 7.62038i 0.234169 0.405592i −0.724862 0.688894i \(-0.758097\pi\)
0.959031 + 0.283302i \(0.0914299\pi\)
\(354\) −2.38485 1.37689i −0.126753 0.0731810i
\(355\) −0.171277 17.1875i −0.00909042 0.912219i
\(356\) −3.85208 3.85208i −0.204160 0.204160i
\(357\) 0.124439 0.0718451i 0.00658603 0.00380244i
\(358\) −18.3549 + 10.5972i −0.970089 + 0.560081i
\(359\) 11.1256 + 11.1256i 0.587186 + 0.587186i 0.936868 0.349683i \(-0.113711\pi\)
−0.349683 + 0.936868i \(0.613711\pi\)
\(360\) 10.4496 + 10.2434i 0.550744 + 0.539876i
\(361\) −9.63047 5.56015i −0.506867 0.292640i
\(362\) −6.56385 + 11.3689i −0.344988 + 0.597537i
\(363\) −6.69346 6.69346i −0.351316 0.351316i
\(364\) 0.917270 + 2.69684i 0.0480780 + 0.141353i
\(365\) −3.97289 14.2572i −0.207951 0.746256i
\(366\) 5.43999 1.45764i 0.284353 0.0761921i
\(367\) −10.6044 + 2.84144i −0.553545 + 0.148322i −0.524739 0.851263i \(-0.675837\pi\)
−0.0288057 + 0.999585i \(0.509170\pi\)
\(368\) −4.74276 + 17.7002i −0.247234 + 0.922689i
\(369\) 18.7169 18.7169i 0.974365 0.974365i
\(370\) 1.35800 1.38534i 0.0705993 0.0720205i
\(371\) −23.7754 6.37060i −1.23436 0.330745i
\(372\) 0.676060 0.0350521
\(373\) −10.2193 2.73825i −0.529135 0.141781i −0.0156462 0.999878i \(-0.504981\pi\)
−0.513489 + 0.858096i \(0.671647\pi\)
\(374\) −0.310650 + 0.538062i −0.0160633 + 0.0278225i
\(375\) −6.65946 3.58383i −0.343893 0.185068i
\(376\) 5.92134i 0.305370i
\(377\) −17.0158 + 5.78755i −0.876361 + 0.298074i
\(378\) 10.4425 10.4425i 0.537104 0.537104i
\(379\) −2.53694 9.46800i −0.130314 0.486338i 0.869659 0.493652i \(-0.164338\pi\)
−0.999973 + 0.00731411i \(0.997672\pi\)
\(380\) 0.971981 + 1.64543i 0.0498616 + 0.0844090i
\(381\) −0.477111 + 0.275460i −0.0244431 + 0.0141123i
\(382\) 25.6746i 1.31363i
\(383\) 13.0283 + 22.5658i 0.665718 + 1.15306i 0.979090 + 0.203426i \(0.0652078\pi\)
−0.313373 + 0.949630i \(0.601459\pi\)
\(384\) 2.30945 8.61899i 0.117854 0.439836i
\(385\) −14.2531 + 25.2653i −0.726407 + 1.28764i
\(386\) 6.49390 + 11.2478i 0.330531 + 0.572496i
\(387\) −0.0900076 0.335913i −0.00457534 0.0170754i
\(388\) 1.41589 + 0.817467i 0.0718812 + 0.0415006i
\(389\) −32.4888 −1.64725 −0.823623 0.567138i \(-0.808050\pi\)
−0.823623 + 0.567138i \(0.808050\pi\)
\(390\) 6.28149 + 5.39236i 0.318076 + 0.273053i
\(391\) −0.332166 −0.0167983
\(392\) −0.594236 0.343082i −0.0300134 0.0173283i
\(393\) −2.81971 10.5233i −0.142235 0.530830i
\(394\) −5.81172 10.0662i −0.292790 0.507127i
\(395\) −3.42764 12.3005i −0.172463 0.618906i
\(396\) −1.00163 + 3.73815i −0.0503340 + 0.187849i
\(397\) −12.0927 20.9451i −0.606914 1.05121i −0.991746 0.128219i \(-0.959074\pi\)
0.384832 0.922987i \(-0.374259\pi\)
\(398\) 23.2680i 1.16632i
\(399\) −4.26694 + 2.46352i −0.213614 + 0.123330i
\(400\) −0.450006 22.5767i −0.0225003 1.12883i
\(401\) −8.49918 31.7194i −0.424429 1.58399i −0.765167 0.643832i \(-0.777343\pi\)
0.340738 0.940158i \(-0.389323\pi\)
\(402\) 11.4624 11.4624i 0.571695 0.571695i
\(403\) 11.8102 0.781237i 0.588309 0.0389162i
\(404\) 0.764454i 0.0380330i
\(405\) −2.83691 + 11.0258i −0.140967 + 0.547878i
\(406\) 9.81806 17.0054i 0.487262 0.843963i
\(407\) −2.75983 0.739493i −0.136799 0.0366553i
\(408\) 0.142528 0.00705620
\(409\) 13.4843 + 3.61312i 0.666758 + 0.178657i 0.576294 0.817243i \(-0.304498\pi\)
0.0904639 + 0.995900i \(0.471165\pi\)
\(410\) −35.3381 + 0.352151i −1.74523 + 0.0173915i
\(411\) −9.20122 + 9.20122i −0.453863 + 0.453863i
\(412\) −0.525714 + 1.96199i −0.0259001 + 0.0966603i
\(413\) 6.72192 1.80113i 0.330764 0.0886279i
\(414\) −15.1266 + 4.05317i −0.743434 + 0.199203i
\(415\) −7.98567 + 2.22527i −0.392001 + 0.109234i
\(416\) −1.19781 + 6.04084i −0.0587275 + 0.296177i
\(417\) 7.58055 + 7.58055i 0.371221 + 0.371221i
\(418\) 10.6520 18.4498i 0.521006 0.902408i
\(419\) −1.92240 1.10990i −0.0939155 0.0542221i 0.452307 0.891862i \(-0.350601\pi\)
−0.546222 + 0.837640i \(0.683935\pi\)
\(420\) −1.19490 + 0.0119074i −0.0583052 + 0.000581022i
\(421\) 24.4795 + 24.4795i 1.19306 + 1.19306i 0.976204 + 0.216853i \(0.0695792\pi\)
0.216853 + 0.976204i \(0.430421\pi\)
\(422\) −26.0774 + 15.0558i −1.26943 + 0.732905i
\(423\) −5.06540 + 2.92451i −0.246288 + 0.142194i
\(424\) −17.2641 17.2641i −0.838417 0.838417i
\(425\) 0.393186 0.113799i 0.0190723 0.00552004i
\(426\) −6.83564 3.94656i −0.331188 0.191211i
\(427\) −7.11613 + 12.3255i −0.344374 + 0.596472i
\(428\) −0.781202 0.781202i −0.0377608 0.0377608i
\(429\) 2.37150 11.9600i 0.114497 0.577435i
\(430\) −0.228132 + 0.404389i −0.0110015 + 0.0195014i
\(431\) 1.59621 0.427704i 0.0768868 0.0206018i −0.220171 0.975461i \(-0.570661\pi\)
0.297057 + 0.954860i \(0.403995\pi\)
\(432\) 16.3545 4.38216i 0.786854 0.210837i
\(433\) −3.83465 + 14.3111i −0.184281 + 0.687748i 0.810502 + 0.585736i \(0.199195\pi\)
−0.994783 + 0.102012i \(0.967472\pi\)
\(434\) −9.14370 + 9.14370i −0.438912 + 0.438912i
\(435\) −0.0751302 7.53928i −0.00360222 0.361481i
\(436\) 0.659331 + 0.176667i 0.0315762 + 0.00846083i
\(437\) 11.3897 0.544845
\(438\) −6.56494 1.75907i −0.313685 0.0840516i
\(439\) 10.9363 18.9422i 0.521959 0.904060i −0.477714 0.878515i \(-0.658535\pi\)
0.999674 0.0255448i \(-0.00813206\pi\)
\(440\) −24.7743 + 14.6345i −1.18107 + 0.697673i
\(441\) 0.677783i 0.0322754i
\(442\) −0.447100 + 0.0295753i −0.0212664 + 0.00140675i
\(443\) −6.14972 + 6.14972i −0.292182 + 0.292182i −0.837942 0.545760i \(-0.816241\pi\)
0.545760 + 0.837942i \(0.316241\pi\)
\(444\) −0.0304624 0.113687i −0.00144568 0.00539536i
\(445\) 34.4477 20.3488i 1.63298 0.964624i
\(446\) 24.9432 14.4010i 1.18110 0.681907i
\(447\) 0.974228i 0.0460794i
\(448\) 8.35496 + 14.4712i 0.394735 + 0.683701i
\(449\) 1.20994 4.51557i 0.0571008 0.213103i −0.931481 0.363791i \(-0.881482\pi\)
0.988581 + 0.150688i \(0.0481489\pi\)
\(450\) 16.5168 9.98008i 0.778612 0.470465i
\(451\) 26.0247 + 45.0761i 1.22546 + 2.12255i
\(452\) −0.451312 1.68432i −0.0212279 0.0792237i
\(453\) 11.5362 + 6.66043i 0.542018 + 0.312934i
\(454\) 40.9246 1.92069
\(455\) −20.8602 + 1.58881i −0.977941 + 0.0744845i
\(456\) −4.88720 −0.228864
\(457\) 26.0120 + 15.0180i 1.21679 + 0.702514i 0.964230 0.265067i \(-0.0853941\pi\)
0.252560 + 0.967581i \(0.418727\pi\)
\(458\) −6.21213 23.1840i −0.290274 1.08332i
\(459\) 0.153455 + 0.265792i 0.00716268 + 0.0124061i
\(460\) 2.40593 + 1.35728i 0.112177 + 0.0632834i
\(461\) 0.680045 2.53796i 0.0316729 0.118205i −0.948280 0.317436i \(-0.897178\pi\)
0.979952 + 0.199232i \(0.0638447\pi\)
\(462\) 6.66050 + 11.5363i 0.309875 + 0.536719i
\(463\) 25.1475i 1.16870i −0.811500 0.584352i \(-0.801349\pi\)
0.811500 0.584352i \(-0.198651\pi\)
\(464\) 19.4966 11.2564i 0.905109 0.522565i
\(465\) −1.23722 + 4.80854i −0.0573748 + 0.222991i
\(466\) 3.75502 + 14.0139i 0.173948 + 0.649183i
\(467\) −14.9907 + 14.9907i −0.693688 + 0.693688i −0.963041 0.269354i \(-0.913190\pi\)
0.269354 + 0.963041i \(0.413190\pi\)
\(468\) −2.64236 + 0.898740i −0.122143 + 0.0415443i
\(469\) 40.9648i 1.89158i
\(470\) 7.56273 + 1.94587i 0.348843 + 0.0897562i
\(471\) −2.17455 + 3.76643i −0.100198 + 0.173548i
\(472\) 6.66756 + 1.78657i 0.306899 + 0.0822335i
\(473\) 0.683832 0.0314426
\(474\) −5.66395 1.51765i −0.260154 0.0697081i
\(475\) −13.4821 + 3.90208i −0.618600 + 0.179040i
\(476\) 0.0457337 0.0457337i 0.00209620 0.00209620i
\(477\) 6.24190 23.2951i 0.285797 1.06661i
\(478\) 4.12178 1.10443i 0.188526 0.0505154i
\(479\) 2.21157 0.592587i 0.101049 0.0270760i −0.207940 0.978142i \(-0.566676\pi\)
0.308989 + 0.951066i \(0.400009\pi\)
\(480\) −2.25009 1.26936i −0.102702 0.0579382i
\(481\) −0.663527 1.95082i −0.0302542 0.0889498i
\(482\) −2.94648 2.94648i −0.134208 0.134208i
\(483\) −3.56090 + 6.16767i −0.162027 + 0.280639i
\(484\) −3.68995 2.13039i −0.167725 0.0968361i
\(485\) −8.40546 + 8.57467i −0.381672 + 0.389356i
\(486\) 15.7696 + 15.7696i 0.715324 + 0.715324i
\(487\) −4.82067 + 2.78321i −0.218445 + 0.126119i −0.605230 0.796050i \(-0.706919\pi\)
0.386785 + 0.922170i \(0.373586\pi\)
\(488\) −12.2258 + 7.05859i −0.553437 + 0.319527i
\(489\) 6.28282 + 6.28282i 0.284119 + 0.284119i
\(490\) −0.633462 + 0.646214i −0.0286169 + 0.0291930i
\(491\) 5.29139 + 3.05498i 0.238797 + 0.137869i 0.614624 0.788820i \(-0.289308\pi\)
−0.375827 + 0.926690i \(0.622641\pi\)
\(492\) −1.07205 + 1.85685i −0.0483319 + 0.0837133i
\(493\) 0.288558 + 0.288558i 0.0129960 + 0.0129960i
\(494\) 15.3307 1.01412i 0.689763 0.0456273i
\(495\) −24.7549 13.9652i −1.11265 0.627689i
\(496\) −14.3204 + 3.83713i −0.643004 + 0.172292i
\(497\) 19.2669 5.16254i 0.864237 0.231572i
\(498\) −0.985281 + 3.67712i −0.0441515 + 0.164776i
\(499\) −6.22738 + 6.22738i −0.278776 + 0.278776i −0.832620 0.553844i \(-0.813160\pi\)
0.553844 + 0.832620i \(0.313160\pi\)
\(500\) −3.31290 0.782353i −0.148157 0.0349879i
\(501\) −2.14642 0.575130i −0.0958948 0.0256949i
\(502\) −4.30183 −0.192000
\(503\) −3.55090 0.951461i −0.158327 0.0424236i 0.178785 0.983888i \(-0.442783\pi\)
−0.337112 + 0.941465i \(0.609450\pi\)
\(504\) −8.49051 + 14.7060i −0.378198 + 0.655057i
\(505\) −5.43725 1.39899i −0.241954 0.0622542i
\(506\) 30.7939i 1.36896i
\(507\) 8.11998 3.37489i 0.360621 0.149884i
\(508\) −0.175347 + 0.175347i −0.00777976 + 0.00777976i
\(509\) −2.90050 10.8248i −0.128563 0.479802i 0.871379 0.490610i \(-0.163226\pi\)
−0.999942 + 0.0108085i \(0.996559\pi\)
\(510\) 0.0468376 0.182037i 0.00207400 0.00806073i
\(511\) 14.8743 8.58768i 0.658000 0.379897i
\(512\) 15.5347i 0.686544i
\(513\) −5.26188 9.11384i −0.232318 0.402386i
\(514\) 7.88233 29.4173i 0.347675 1.29754i
\(515\) −12.9927 7.32972i −0.572529 0.322986i
\(516\) 0.0140848 + 0.0243955i 0.000620047 + 0.00107395i
\(517\) −2.97677 11.1095i −0.130918 0.488593i
\(518\) 1.94962 + 1.12561i 0.0856615 + 0.0494567i
\(519\) −2.86670 −0.125834
\(520\) −18.7074 8.98094i −0.820372 0.393840i
\(521\) 35.9604 1.57545 0.787726 0.616026i \(-0.211258\pi\)
0.787726 + 0.616026i \(0.211258\pi\)
\(522\) 16.6618 + 9.61972i 0.729269 + 0.421044i
\(523\) −2.17209 8.10636i −0.0949790 0.354467i 0.902037 0.431658i \(-0.142071\pi\)
−0.997016 + 0.0771917i \(0.975405\pi\)
\(524\) −2.45189 4.24681i −0.107112 0.185523i
\(525\) 2.10203 8.52064i 0.0917403 0.371871i
\(526\) −3.70182 + 13.8154i −0.161407 + 0.602380i
\(527\) −0.134369 0.232734i −0.00585322 0.0101381i
\(528\) 15.2725i 0.664651i
\(529\) −5.66090 + 3.26832i −0.246126 + 0.142101i
\(530\) −27.7230 + 16.3763i −1.20421 + 0.711343i
\(531\) 1.76475 + 6.58612i 0.0765835 + 0.285813i
\(532\) −1.56818 + 1.56818i −0.0679891 + 0.0679891i
\(533\) −16.5822 + 33.6765i −0.718253 + 1.45869i
\(534\) 18.3726i 0.795061i
\(535\) 6.98601 4.12673i 0.302031 0.178414i
\(536\) −20.3168 + 35.1897i −0.877552 + 1.51997i
\(537\) −9.12209 2.44426i −0.393647 0.105477i
\(538\) −4.88034 −0.210407
\(539\) 1.28736 + 0.344948i 0.0554506 + 0.0148580i
\(540\) −0.0254333 2.55222i −0.00109447 0.109830i
\(541\) 4.13066 4.13066i 0.177591 0.177591i −0.612714 0.790305i \(-0.709922\pi\)
0.790305 + 0.612714i \(0.209922\pi\)
\(542\) 5.96691 22.2688i 0.256301 0.956528i
\(543\) −5.65016 + 1.51396i −0.242471 + 0.0649700i
\(544\) 0.135064 0.0361903i 0.00579082 0.00155165i
\(545\) −2.46317 + 4.36624i −0.105511 + 0.187029i
\(546\) −4.24387 + 8.61882i −0.181621 + 0.368851i
\(547\) −7.90229 7.90229i −0.337877 0.337877i 0.517691 0.855568i \(-0.326792\pi\)
−0.855568 + 0.517691i \(0.826792\pi\)
\(548\) −2.92856 + 5.07242i −0.125102 + 0.216683i
\(549\) −12.0765 6.97237i −0.515413 0.297574i
\(550\) 10.5499 + 36.4509i 0.449848 + 1.55427i
\(551\) −9.89447 9.89447i −0.421519 0.421519i
\(552\) −6.11780 + 3.53211i −0.260391 + 0.150337i
\(553\) 12.8329 7.40909i 0.545712 0.315067i
\(554\) 11.4479 + 11.4479i 0.486375 + 0.486375i
\(555\) 0.864358 0.00861348i 0.0366900 0.000365622i
\(556\) 4.17898 + 2.41274i 0.177228 + 0.102323i
\(557\) 5.89341 10.2077i 0.249712 0.432513i −0.713734 0.700417i \(-0.752997\pi\)
0.963446 + 0.267903i \(0.0863308\pi\)
\(558\) −8.95899 8.95899i −0.379264 0.379264i
\(559\) 0.274240 + 0.409894i 0.0115991 + 0.0173367i
\(560\) 25.2429 7.03416i 1.06671 0.297247i
\(561\) −0.267408 + 0.0716517i −0.0112900 + 0.00302514i
\(562\) −26.4666 + 7.09170i −1.11643 + 0.299145i
\(563\) 8.32255 31.0602i 0.350754 1.30903i −0.534991 0.844858i \(-0.679685\pi\)
0.885745 0.464172i \(-0.153648\pi\)
\(564\) 0.335015 0.335015i 0.0141067 0.0141067i
\(565\) 12.8058 0.127612i 0.538744 0.00536868i
\(566\) −8.44250 2.26216i −0.354865 0.0950858i
\(567\) −13.2118 −0.554845
\(568\) 19.1111 + 5.12080i 0.801883 + 0.214864i
\(569\) 4.64237 8.04082i 0.194618 0.337089i −0.752157 0.658984i \(-0.770987\pi\)
0.946775 + 0.321895i \(0.104320\pi\)
\(570\) −1.60603 + 6.24192i −0.0672691 + 0.261445i
\(571\) 31.1596i 1.30399i −0.758223 0.651995i \(-0.773932\pi\)
0.758223 0.651995i \(-0.226068\pi\)
\(572\) −0.362249 5.47623i −0.0151464 0.228973i
\(573\) 8.08942 8.08942i 0.337940 0.337940i
\(574\) −10.6144 39.6134i −0.443035 1.65343i
\(575\) −14.0567 + 14.6285i −0.586206 + 0.610050i
\(576\) −14.1789 + 8.18618i −0.590786 + 0.341091i
\(577\) 4.57285i 0.190370i 0.995460 + 0.0951852i \(0.0303443\pi\)
−0.995460 + 0.0951852i \(0.969656\pi\)
\(578\) −12.8983 22.3405i −0.536499 0.929243i
\(579\) −1.49782 + 5.58994i −0.0622473 + 0.232310i
\(580\) −0.910980 3.26916i −0.0378264 0.135745i
\(581\) −4.81009 8.33132i −0.199556 0.345641i
\(582\) 1.42711 + 5.32605i 0.0591556 + 0.220772i
\(583\) 41.0693 + 23.7114i 1.70092 + 0.982025i
\(584\) 17.0365 0.704975
\(585\) −1.55671 20.4388i −0.0643622 0.845040i
\(586\) 4.85179 0.200425
\(587\) 6.22829 + 3.59590i 0.257069 + 0.148419i 0.622997 0.782224i \(-0.285915\pi\)
−0.365928 + 0.930643i \(0.619248\pi\)
\(588\) 0.0142097 + 0.0530312i 0.000585997 + 0.00218697i
\(589\) 4.60743 + 7.98031i 0.189846 + 0.328823i
\(590\) 4.47289 7.92870i 0.184146 0.326420i
\(591\) 1.34048 5.00272i 0.0551398 0.205785i
\(592\) 1.29052 + 2.23524i 0.0530399 + 0.0918677i
\(593\) 28.0561i 1.15212i −0.817406 0.576062i \(-0.804589\pi\)
0.817406 0.576062i \(-0.195411\pi\)
\(594\) −24.6407 + 14.2263i −1.01102 + 0.583712i
\(595\) 0.241590 + 0.408980i 0.00990422 + 0.0167665i
\(596\) −0.113496 0.423573i −0.00464898 0.0173502i
\(597\) −7.33116 + 7.33116i −0.300044 + 0.300044i
\(598\) 18.4581 12.3494i 0.754808 0.505005i
\(599\) 0.912959i 0.0373025i 0.999826 + 0.0186513i \(0.00593722\pi\)
−0.999826 + 0.0186513i \(0.994063\pi\)
\(600\) 6.03157 6.27690i 0.246238 0.256253i
\(601\) −6.22691 + 10.7853i −0.254001 + 0.439943i −0.964624 0.263631i \(-0.915080\pi\)
0.710623 + 0.703573i \(0.248413\pi\)
\(602\) −0.520445 0.139453i −0.0212118 0.00568367i
\(603\) −40.1373 −1.63452
\(604\) 5.79162 + 1.55186i 0.235658 + 0.0631443i
\(605\) 21.9054 22.3464i 0.890581 0.908509i
\(606\) −1.82305 + 1.82305i −0.0740562 + 0.0740562i
\(607\) −10.0350 + 37.4512i −0.407309 + 1.52010i 0.392448 + 0.919774i \(0.371628\pi\)
−0.799757 + 0.600324i \(0.795038\pi\)
\(608\) −4.63125 + 1.24094i −0.187822 + 0.0503268i
\(609\) 8.45138 2.26454i 0.342467 0.0917638i
\(610\) 4.99757 + 17.9344i 0.202346 + 0.726143i
\(611\) 5.46530 6.23957i 0.221102 0.252426i
\(612\) 0.0448098 + 0.0448098i 0.00181133 + 0.00181133i
\(613\) −12.3057 + 21.3140i −0.497021 + 0.860865i −0.999994 0.00343656i \(-0.998906\pi\)
0.502973 + 0.864302i \(0.332239\pi\)
\(614\) 31.9122 + 18.4245i 1.28787 + 0.743553i
\(615\) −11.2451 11.0232i −0.453446 0.444498i
\(616\) −23.6110 23.6110i −0.951316 0.951316i
\(617\) −13.3501 + 7.70769i −0.537455 + 0.310300i −0.744047 0.668127i \(-0.767096\pi\)
0.206592 + 0.978427i \(0.433763\pi\)
\(618\) −5.93259 + 3.42518i −0.238644 + 0.137781i
\(619\) −20.7915 20.7915i −0.835683 0.835683i 0.152604 0.988287i \(-0.451234\pi\)
−0.988287 + 0.152604i \(0.951234\pi\)
\(620\) 0.0222700 + 2.23478i 0.000894385 + 0.0897510i
\(621\) −13.1736 7.60581i −0.528640 0.305211i
\(622\) 12.8316 22.2249i 0.514498 0.891137i
\(623\) 32.8303 + 32.8303i 1.31532 + 1.31532i
\(624\) −9.15446 + 6.12480i −0.366472 + 0.245188i
\(625\) 11.6273 22.1315i 0.465093 0.885262i
\(626\) −17.4397 + 4.67294i −0.697029 + 0.186768i
\(627\) 9.16923 2.45689i 0.366184 0.0981186i
\(628\) −0.506664 + 1.89090i −0.0202181 + 0.0754549i
\(629\) −0.0330825 + 0.0330825i −0.00131908 + 0.00131908i
\(630\) 15.9923 + 15.6768i 0.637150 + 0.624577i
\(631\) 12.1738 + 3.26195i 0.484631 + 0.129856i 0.492858 0.870110i \(-0.335952\pi\)
−0.00822739 + 0.999966i \(0.502619\pi\)
\(632\) 14.6984 0.584670
\(633\) −12.9600 3.47263i −0.515115 0.138025i
\(634\) −9.06908 + 15.7081i −0.360179 + 0.623849i
\(635\) −0.926277 1.56806i −0.0367582 0.0622267i
\(636\) 1.95352i 0.0774620i
\(637\) 0.309512 + 0.909991i 0.0122633 + 0.0360551i
\(638\) −26.7512 + 26.7512i −1.05909 + 1.05909i
\(639\) 5.05825 + 18.8777i 0.200101 + 0.746789i
\(640\) 28.5670 + 7.35020i 1.12921 + 0.290542i
\(641\) −8.45341 + 4.88058i −0.333890 + 0.192771i −0.657567 0.753396i \(-0.728414\pi\)
0.323677 + 0.946168i \(0.395081\pi\)
\(642\) 3.72597i 0.147052i
\(643\) −13.9057 24.0854i −0.548387 0.949834i −0.998385 0.0568044i \(-0.981909\pi\)
0.449999 0.893029i \(-0.351424\pi\)
\(644\) −0.829680 + 3.09641i −0.0326940 + 0.122016i
\(645\) −0.199291 + 0.0555341i −0.00784708 + 0.00218665i
\(646\) −0.174424 0.302111i −0.00686261 0.0118864i
\(647\) −4.76862 17.7967i −0.187474 0.699662i −0.994087 0.108583i \(-0.965369\pi\)
0.806613 0.591079i \(-0.201298\pi\)
\(648\) −11.3493 6.55251i −0.445842 0.257407i
\(649\) −13.4076 −0.526296
\(650\) −17.6180 + 20.9417i −0.691037 + 0.821402i
\(651\) −5.76190 −0.225826
\(652\) 3.46357 + 1.99970i 0.135644 + 0.0783141i
\(653\) 1.90911 + 7.12491i 0.0747094 + 0.278819i 0.993167 0.116700i \(-0.0372315\pi\)
−0.918458 + 0.395519i \(0.870565\pi\)
\(654\) 1.15104 + 1.99366i 0.0450093 + 0.0779583i
\(655\) 34.6929 9.66746i 1.35556 0.377739i
\(656\) 12.1694 45.4167i 0.475134 1.77322i
\(657\) 8.41420 + 14.5738i 0.328269 + 0.568579i
\(658\) 9.06214i 0.353279i
\(659\) −12.0786 + 6.97358i −0.470515 + 0.271652i −0.716455 0.697633i \(-0.754237\pi\)
0.245940 + 0.969285i \(0.420903\pi\)
\(660\) 2.22965 + 0.573683i 0.0867891 + 0.0223306i
\(661\) 0.0586648 + 0.218940i 0.00228180 + 0.00851578i 0.967057 0.254559i \(-0.0819302\pi\)
−0.964776 + 0.263074i \(0.915264\pi\)
\(662\) −23.0236 + 23.0236i −0.894837 + 0.894837i
\(663\) −0.150188 0.131551i −0.00583283 0.00510903i
\(664\) 9.54239i 0.370317i
\(665\) −8.28396 14.0236i −0.321238 0.543813i
\(666\) −1.10288 + 1.91024i −0.0427356 + 0.0740202i
\(667\) −19.5369 5.23490i −0.756472 0.202696i
\(668\) −1.00022 −0.0386996
\(669\) 12.3964 + 3.32160i 0.479271 + 0.128420i
\(670\) 38.2678 + 37.5126i 1.47841 + 1.44924i
\(671\) 19.3893 19.3893i 0.748515 0.748515i
\(672\) 0.775939 2.89584i 0.0299325 0.111710i
\(673\) −32.4730 + 8.70112i −1.25174 + 0.335404i −0.823010 0.568027i \(-0.807707\pi\)
−0.428734 + 0.903431i \(0.641040\pi\)
\(674\) 29.2938 7.84924i 1.12835 0.302341i
\(675\) 18.1994 + 4.48978i 0.700495 + 0.172812i
\(676\) 3.13722 2.41329i 0.120662 0.0928190i
\(677\) 25.1691 + 25.1691i 0.967326 + 0.967326i 0.999483 0.0321566i \(-0.0102375\pi\)
−0.0321566 + 0.999483i \(0.510238\pi\)
\(678\) 2.94044 5.09298i 0.112927 0.195595i
\(679\) −12.0673 6.96707i −0.463101 0.267372i
\(680\) 0.00469500 + 0.471141i 0.000180045 + 0.0180674i
\(681\) 12.8943 + 12.8943i 0.494110 + 0.494110i
\(682\) 21.5760 12.4569i 0.826187 0.477000i
\(683\) 26.6361 15.3784i 1.01920 0.588437i 0.105329 0.994437i \(-0.466410\pi\)
0.913873 + 0.406001i \(0.133077\pi\)
\(684\) −1.53650 1.53650i −0.0587494 0.0587494i
\(685\) −30.7186 30.1124i −1.17370 1.15054i
\(686\) −24.7893 14.3121i −0.946459 0.546438i
\(687\) 5.34740 9.26197i 0.204016 0.353366i
\(688\) −0.436807 0.436807i −0.0166531 0.0166531i
\(689\) 2.25743 + 34.1263i 0.0860013 + 1.30011i
\(690\) 2.50078 + 8.97436i 0.0952032 + 0.341648i
\(691\) −37.4215 + 10.0271i −1.42358 + 0.381447i −0.886753 0.462244i \(-0.847044\pi\)
−0.536828 + 0.843692i \(0.680378\pi\)
\(692\) −1.24638 + 0.333966i −0.0473802 + 0.0126955i
\(693\) 8.53668 31.8593i 0.324282 1.21024i
\(694\) −26.4382 + 26.4382i −1.00358 + 1.00358i
\(695\) −24.8085 + 25.3080i −0.941042 + 0.959986i
\(696\) 8.38305 + 2.24623i 0.317759 + 0.0851432i
\(697\) 0.852297 0.0322831
\(698\) 39.9534 + 10.7055i 1.51226 + 0.405208i
\(699\) −3.23232 + 5.59854i −0.122258 + 0.211756i
\(700\) −0.0787222 3.94947i −0.00297542 0.149276i
\(701\) 19.8876i 0.751143i 0.926793 + 0.375571i \(0.122553\pi\)
−0.926793 + 0.375571i \(0.877447\pi\)
\(702\) −18.4091 9.06457i −0.694807 0.342120i
\(703\) 1.13437 1.13437i 0.0427838 0.0427838i
\(704\) −8.33247 31.0972i −0.314042 1.17202i
\(705\) 1.76973 + 2.99592i 0.0666519 + 0.112833i
\(706\) 11.5681 6.67884i 0.435371 0.251361i
\(707\) 6.51526i 0.245032i
\(708\) −0.276155 0.478314i −0.0103785 0.0179761i
\(709\) −8.24828 + 30.7830i −0.309771 + 1.15608i 0.618990 + 0.785399i \(0.287542\pi\)
−0.928760 + 0.370680i \(0.879125\pi\)
\(710\) 12.8206 22.7259i 0.481147 0.852887i
\(711\) 7.25942 + 12.5737i 0.272250 + 0.471550i
\(712\) 11.9196 + 44.4844i 0.446705 + 1.66712i
\(713\) 11.5352 + 6.65983i 0.431996 + 0.249413i
\(714\) 0.218128 0.00816325
\(715\) 39.6131 + 7.44524i 1.48145 + 0.278436i
\(716\) −4.25084 −0.158861
\(717\) 1.64665 + 0.950692i 0.0614951 + 0.0355042i
\(718\) 6.18186 + 23.0710i 0.230705 + 0.861002i
\(719\) 15.4818 + 26.8152i 0.577372 + 1.00004i 0.995779 + 0.0917785i \(0.0292552\pi\)
−0.418407 + 0.908260i \(0.637411\pi\)
\(720\) 6.89206 + 24.7330i 0.256852 + 0.921744i
\(721\) 4.48053 16.7216i 0.166864 0.622744i
\(722\) −8.44057 14.6195i −0.314126 0.544081i
\(723\) 1.85672i 0.0690522i
\(724\) −2.28019 + 1.31647i −0.0847427 + 0.0489262i
\(725\) 24.9193 0.496701i 0.925481 0.0184470i
\(726\) −3.71918 13.8802i −0.138032 0.515141i
\(727\) 16.2588 16.2588i 0.603007 0.603007i −0.338103 0.941109i \(-0.609785\pi\)
0.941109 + 0.338103i \(0.109785\pi\)
\(728\) 4.68379 23.6215i 0.173593 0.875470i
\(729\) 5.33729i 0.197678i
\(730\) 5.59852 21.7590i 0.207211 0.805336i
\(731\) 0.00559879 0.00969739i 0.000207079 0.000358671i
\(732\) 1.09107 + 0.292350i 0.0403269 + 0.0108056i
\(733\) 31.2515 1.15430 0.577150 0.816638i \(-0.304165\pi\)
0.577150 + 0.816638i \(0.304165\pi\)
\(734\) −16.0980 4.31344i −0.594187 0.159212i
\(735\) −0.403193 + 0.00401789i −0.0148720 + 0.000148202i
\(736\) −4.90054 + 4.90054i −0.180636 + 0.180636i
\(737\) 20.4273 76.2357i 0.752449 2.80818i
\(738\) 38.8131 10.3999i 1.42873 0.382827i
\(739\) −26.3668 + 7.06496i −0.969918 + 0.259889i −0.708793 0.705416i \(-0.750760\pi\)
−0.261125 + 0.965305i \(0.584093\pi\)
\(740\) 0.374801 0.104441i 0.0137780 0.00383934i
\(741\) 5.14985 + 4.51081i 0.189184 + 0.165709i
\(742\) −26.4213 26.4213i −0.969956 0.969956i
\(743\) −16.4830 + 28.5494i −0.604703 + 1.04738i 0.387395 + 0.921914i \(0.373375\pi\)
−0.992098 + 0.125463i \(0.959958\pi\)
\(744\) −4.94960 2.85765i −0.181461 0.104767i
\(745\) 3.22041 0.0320919i 0.117987 0.00117576i
\(746\) −11.3566 11.3566i −0.415794 0.415794i
\(747\) 8.16301 4.71292i 0.298669 0.172437i
\(748\) −0.107916 + 0.0623052i −0.00394579 + 0.00227810i
\(749\) 6.65800 + 6.65800i 0.243278 + 0.243278i
\(750\) −6.03476 9.76622i −0.220358 0.356612i
\(751\) 26.8241 + 15.4869i 0.978826 + 0.565125i 0.901915 0.431913i \(-0.142161\pi\)
0.0769103 + 0.997038i \(0.475494\pi\)
\(752\) −5.19487 + 8.99777i −0.189437 + 0.328115i
\(753\) −1.35540 1.35540i −0.0493934 0.0493934i
\(754\) −26.7630 5.30672i −0.974653 0.193259i
\(755\) −21.6367 + 38.3535i −0.787440 + 1.39583i
\(756\) 2.86098 0.766598i 0.104053 0.0278809i
\(757\) −49.3561 + 13.2249i −1.79388 + 0.480668i −0.992995 0.118154i \(-0.962302\pi\)
−0.800882 + 0.598822i \(0.795636\pi\)
\(758\) 3.85120 14.3729i 0.139882 0.522046i
\(759\) 9.70238 9.70238i 0.352174 0.352174i
\(760\) −0.160988 16.1551i −0.00583967 0.586007i
\(761\) 1.11809 + 0.299592i 0.0405308 + 0.0108602i 0.279027 0.960283i \(-0.409988\pi\)
−0.238497 + 0.971143i \(0.576655\pi\)
\(762\) −0.836323 −0.0302968
\(763\) −5.61932 1.50569i −0.203433 0.0545097i
\(764\) 2.57470 4.45951i 0.0931494 0.161339i
\(765\) −0.400718 + 0.236710i −0.0144880 + 0.00855825i
\(766\) 39.5553i 1.42919i
\(767\) −5.37693 8.03664i −0.194150 0.290186i
\(768\) 3.41812 3.41812i 0.123341 0.123341i
\(769\) 7.82422 + 29.2004i 0.282148 + 1.05299i 0.950898 + 0.309505i \(0.100163\pi\)
−0.668750 + 0.743488i \(0.733170\pi\)
\(770\) −37.9151 + 22.3970i −1.36636 + 0.807130i
\(771\) 11.7522 6.78511i 0.423243 0.244360i